Drodi-SAT---4.1.1.SAT-Sat.s

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : TOP015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 03:53:34 PM UTC 2026

% Result   : Satisfiable 63.61s 18.29s
% Output   : Saturation 7.99s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [U,Vf] :
      ( element_of_set(U,f1(Vf,U))
      | ~ element_of_set(U,union_of_members(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [U,Vf] :
      ( element_of_collection(f1(Vf,U),Vf)
      | ~ element_of_set(U,union_of_members(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [U,Vf,Uu1] :
      ( ~ element_of_collection(Uu1,Vf)
      | ~ element_of_set(U,Uu1)
      | element_of_set(U,union_of_members(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [U,Vf,Va] :
      ( element_of_set(U,Va)
      | ~ element_of_collection(Va,Vf)
      | ~ element_of_set(U,intersection_of_members(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [U,Vf] :
      ( element_of_collection(f2(Vf,U),Vf)
      | element_of_set(U,intersection_of_members(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [U,Vf] :
      ( ~ element_of_set(U,f2(Vf,U))
      | element_of_set(U,intersection_of_members(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Vt] :
      ( equal_sets(union_of_members(Vt),X)
      | ~ topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Vt] :
      ( element_of_collection(empty_set,Vt)
      | ~ topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Vt] :
      ( element_of_collection(X,Vt)
      | ~ topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Vt,Y,Z] :
      ( element_of_collection(intersection_of_sets(Y,Z),Vt)
      | ~ element_of_collection(Z,Vt)
      | ~ element_of_collection(Y,Vt)
      | ~ topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Vt,Vf] :
      ( element_of_collection(union_of_members(Vf),Vt)
      | ~ subset_collections(Vf,Vt)
      | ~ topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X,Vt] :
      ( subset_collections(f5(X,Vt),Vt)
      | element_of_collection(f3(X,Vt),Vt)
      | ~ element_of_collection(X,Vt)
      | ~ element_of_collection(empty_set,Vt)
      | ~ equal_sets(union_of_members(Vt),X)
      | topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Vt] :
      ( ~ element_of_collection(union_of_members(f5(X,Vt)),Vt)
      | element_of_collection(f3(X,Vt),Vt)
      | ~ element_of_collection(X,Vt)
      | ~ element_of_collection(empty_set,Vt)
      | ~ equal_sets(union_of_members(Vt),X)
      | topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Vt] :
      ( subset_collections(f5(X,Vt),Vt)
      | element_of_collection(f4(X,Vt),Vt)
      | ~ element_of_collection(X,Vt)
      | ~ element_of_collection(empty_set,Vt)
      | ~ equal_sets(union_of_members(Vt),X)
      | topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X,Vt] :
      ( ~ element_of_collection(union_of_members(f5(X,Vt)),Vt)
      | element_of_collection(f4(X,Vt),Vt)
      | ~ element_of_collection(X,Vt)
      | ~ element_of_collection(empty_set,Vt)
      | ~ equal_sets(union_of_members(Vt),X)
      | topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Vt] :
      ( subset_collections(f5(X,Vt),Vt)
      | ~ element_of_collection(intersection_of_sets(f3(X,Vt),f4(X,Vt)),Vt)
      | ~ element_of_collection(X,Vt)
      | ~ element_of_collection(empty_set,Vt)
      | ~ equal_sets(union_of_members(Vt),X)
      | topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X,Vt] :
      ( ~ element_of_collection(union_of_members(f5(X,Vt)),Vt)
      | ~ element_of_collection(intersection_of_sets(f3(X,Vt),f4(X,Vt)),Vt)
      | ~ element_of_collection(X,Vt)
      | ~ element_of_collection(empty_set,Vt)
      | ~ equal_sets(union_of_members(Vt),X)
      | topological_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [U,X,Vt] :
      ( topological_space(X,Vt)
      | ~ open(U,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [U,X,Vt] :
      ( element_of_collection(U,Vt)
      | ~ open(U,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [U,X,Vt] :
      ( ~ element_of_collection(U,Vt)
      | ~ topological_space(X,Vt)
      | open(U,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [U,X,Vt] :
      ( topological_space(X,Vt)
      | ~ closed(U,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [U,X,Vt] :
      ( open(relative_complement_sets(U,X),X,Vt)
      | ~ closed(U,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [U,X,Vt] :
      ( ~ open(relative_complement_sets(U,X),X,Vt)
      | ~ topological_space(X,Vt)
      | closed(U,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [Vt,Vs,X] :
      ( topological_space(X,Vt)
      | ~ finer(Vt,Vs,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [Vt,Vs,X] :
      ( topological_space(X,Vs)
      | ~ finer(Vt,Vs,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [Vt,Vs,X] :
      ( subset_collections(Vs,Vt)
      | ~ finer(Vt,Vs,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [Vt,Vs,X] :
      ( ~ subset_collections(Vs,Vt)
      | ~ topological_space(X,Vs)
      | ~ topological_space(X,Vt)
      | finer(Vt,Vs,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X,Vf] :
      ( equal_sets(union_of_members(Vf),X)
      | ~ basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X,Vf,Y,Vb1,Vb2] :
      ( element_of_set(Y,f6(X,Vf,Y,Vb1,Vb2))
      | ~ element_of_set(Y,intersection_of_sets(Vb1,Vb2))
      | ~ element_of_collection(Vb2,Vf)
      | ~ element_of_collection(Vb1,Vf)
      | ~ element_of_set(Y,X)
      | ~ basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [X,Vf,Y,Vb1,Vb2] :
      ( element_of_collection(f6(X,Vf,Y,Vb1,Vb2),Vf)
      | ~ element_of_set(Y,intersection_of_sets(Vb1,Vb2))
      | ~ element_of_collection(Vb2,Vf)
      | ~ element_of_collection(Vb1,Vf)
      | ~ element_of_set(Y,X)
      | ~ basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [X,Vf,Y,Vb1,Vb2] :
      ( subset_sets(f6(X,Vf,Y,Vb1,Vb2),intersection_of_sets(Vb1,Vb2))
      | ~ element_of_set(Y,intersection_of_sets(Vb1,Vb2))
      | ~ element_of_collection(Vb2,Vf)
      | ~ element_of_collection(Vb1,Vf)
      | ~ element_of_set(Y,X)
      | ~ basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ! [X,Vf] :
      ( element_of_set(f7(X,Vf),X)
      | ~ equal_sets(union_of_members(Vf),X)
      | basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [X,Vf] :
      ( element_of_collection(f8(X,Vf),Vf)
      | ~ equal_sets(union_of_members(Vf),X)
      | basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [X,Vf] :
      ( element_of_collection(f9(X,Vf),Vf)
      | ~ equal_sets(union_of_members(Vf),X)
      | basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [X,Vf] :
      ( element_of_set(f7(X,Vf),intersection_of_sets(f8(X,Vf),f9(X,Vf)))
      | ~ equal_sets(union_of_members(Vf),X)
      | basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [X,Vf,Uu9] :
      ( ~ subset_sets(Uu9,intersection_of_sets(f8(X,Vf),f9(X,Vf)))
      | ~ element_of_collection(Uu9,Vf)
      | ~ element_of_set(f7(X,Vf),Uu9)
      | ~ equal_sets(union_of_members(Vf),X)
      | basis(X,Vf) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [U,Vf,X] :
      ( element_of_set(X,f10(Vf,U,X))
      | ~ element_of_set(X,U)
      | ~ element_of_collection(U,top_of_basis(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [U,Vf,X] :
      ( element_of_collection(f10(Vf,U,X),Vf)
      | ~ element_of_set(X,U)
      | ~ element_of_collection(U,top_of_basis(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [U,Vf,X] :
      ( subset_sets(f10(Vf,U,X),U)
      | ~ element_of_set(X,U)
      | ~ element_of_collection(U,top_of_basis(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [U,Vf] :
      ( element_of_set(f11(Vf,U),U)
      | element_of_collection(U,top_of_basis(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [U,Vf,Uu11] :
      ( ~ subset_sets(Uu11,U)
      | ~ element_of_collection(Uu11,Vf)
      | ~ element_of_set(f11(Vf,U),Uu11)
      | element_of_collection(U,top_of_basis(Vf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    ! [U,X,Vt,Y] :
      ( topological_space(X,Vt)
      | ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [U,X,Vt,Y] :
      ( subset_sets(Y,X)
      | ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [U,X,Vt,Y] :
      ( element_of_collection(f12(X,Vt,Y,U),Vt)
      | ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [U,X,Vt,Y] :
      ( equal_sets(U,intersection_of_sets(Y,f12(X,Vt,Y,U)))
      | ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [U,X,Vt,Y,Uu12] :
      ( ~ equal_sets(U,intersection_of_sets(Y,Uu12))
      | ~ element_of_collection(Uu12,Vt)
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [U,Y,X,Vt] :
      ( topological_space(X,Vt)
      | ~ element_of_set(U,interior(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [U,Y,X,Vt] :
      ( subset_sets(Y,X)
      | ~ element_of_set(U,interior(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [U,Y,X,Vt] :
      ( element_of_set(U,f13(Y,X,Vt,U))
      | ~ element_of_set(U,interior(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    ! [U,Y,X,Vt] :
      ( subset_sets(f13(Y,X,Vt,U),Y)
      | ~ element_of_set(U,interior(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [U,Y,X,Vt] :
      ( open(f13(Y,X,Vt,U),X,Vt)
      | ~ element_of_set(U,interior(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [U,Y,X,Vt,Uu13] :
      ( ~ open(Uu13,X,Vt)
      | ~ subset_sets(Uu13,Y)
      | ~ element_of_set(U,Uu13)
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | element_of_set(U,interior(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [U,Y,X,Vt] :
      ( topological_space(X,Vt)
      | ~ element_of_set(U,closure(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,axiom,
    ! [U,Y,X,Vt] :
      ( subset_sets(Y,X)
      | ~ element_of_set(U,closure(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [U,Y,X,Vt,V] :
      ( element_of_set(U,V)
      | ~ closed(V,X,Vt)
      | ~ subset_sets(Y,V)
      | ~ element_of_set(U,closure(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [U,Y,X,Vt] :
      ( subset_sets(Y,f14(Y,X,Vt,U))
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | element_of_set(U,closure(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,axiom,
    ! [U,Y,X,Vt] :
      ( closed(f14(Y,X,Vt,U),X,Vt)
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | element_of_set(U,closure(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,axiom,
    ! [U,Y,X,Vt] :
      ( ~ element_of_set(U,f14(Y,X,Vt,U))
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | element_of_set(U,closure(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [U,Y,X,Vt] :
      ( topological_space(X,Vt)
      | ~ neighborhood(U,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    ! [U,Y,X,Vt] :
      ( open(U,X,Vt)
      | ~ neighborhood(U,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,axiom,
    ! [U,Y,X,Vt] :
      ( element_of_set(Y,U)
      | ~ neighborhood(U,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,axiom,
    ! [U,Y,X,Vt] :
      ( ~ element_of_set(Y,U)
      | ~ open(U,X,Vt)
      | ~ topological_space(X,Vt)
      | neighborhood(U,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,axiom,
    ! [Z,Y,X,Vt] :
      ( topological_space(X,Vt)
      | ~ limit_point(Z,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,axiom,
    ! [Z,Y,X,Vt] :
      ( subset_sets(Y,X)
      | ~ limit_point(Z,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,axiom,
    ! [Z,Y,X,Vt,U] :
      ( element_of_set(f15(Z,Y,X,Vt,U),intersection_of_sets(U,Y))
      | ~ neighborhood(U,Z,X,Vt)
      | ~ limit_point(Z,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,axiom,
    ! [Z,Y,X,Vt,U] :
      ( ~ eq_p(f15(Z,Y,X,Vt,U),Z)
      | ~ neighborhood(U,Z,X,Vt)
      | ~ limit_point(Z,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,axiom,
    ! [Z,Y,X,Vt] :
      ( neighborhood(f16(Z,Y,X,Vt),Z,X,Vt)
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | limit_point(Z,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,axiom,
    ! [Z,Y,X,Vt,Uu16] :
      ( eq_p(Uu16,Z)
      | ~ element_of_set(Uu16,intersection_of_sets(f16(Z,Y,X,Vt),Y))
      | ~ subset_sets(Y,X)
      | ~ topological_space(X,Vt)
      | limit_point(Z,Y,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,axiom,
    ! [U,Y,X,Vt] :
      ( topological_space(X,Vt)
      | ~ element_of_set(U,boundary(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f70,axiom,
    ! [U,Y,X,Vt] :
      ( element_of_set(U,closure(Y,X,Vt))
      | ~ element_of_set(U,boundary(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f71,axiom,
    ! [U,Y,X,Vt] :
      ( element_of_set(U,closure(relative_complement_sets(Y,X),X,Vt))
      | ~ element_of_set(U,boundary(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f72,axiom,
    ! [U,Y,X,Vt] :
      ( ~ element_of_set(U,closure(relative_complement_sets(Y,X),X,Vt))
      | ~ element_of_set(U,closure(Y,X,Vt))
      | ~ topological_space(X,Vt)
      | element_of_set(U,boundary(Y,X,Vt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f73,axiom,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ~ hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    ! [X,Vt,X_1,X_2] :
      ( neighborhood(f17(X,Vt,X_1,X_2),X_1,X,Vt)
      | eq_p(X_1,X_2)
      | ~ element_of_set(X_2,X)
      | ~ element_of_set(X_1,X)
      | ~ hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,axiom,
    ! [X,Vt,X_1,X_2] :
      ( neighborhood(f18(X,Vt,X_1,X_2),X_2,X,Vt)
      | eq_p(X_1,X_2)
      | ~ element_of_set(X_2,X)
      | ~ element_of_set(X_1,X)
      | ~ hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f76,axiom,
    ! [X,Vt,X_1,X_2] :
      ( disjoint_s(f17(X,Vt,X_1,X_2),f18(X,Vt,X_1,X_2))
      | eq_p(X_1,X_2)
      | ~ element_of_set(X_2,X)
      | ~ element_of_set(X_1,X)
      | ~ hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f77,axiom,
    ! [X,Vt] :
      ( element_of_set(f19(X,Vt),X)
      | ~ topological_space(X,Vt)
      | hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,axiom,
    ! [X,Vt] :
      ( element_of_set(f20(X,Vt),X)
      | ~ topological_space(X,Vt)
      | hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f79,axiom,
    ! [X,Vt] :
      ( ~ eq_p(f19(X,Vt),f20(X,Vt))
      | ~ topological_space(X,Vt)
      | hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f80,axiom,
    ! [X,Vt,Uu19,Uu20] :
      ( ~ disjoint_s(Uu19,Uu20)
      | ~ neighborhood(Uu20,f20(X,Vt),X,Vt)
      | ~ neighborhood(Uu19,f19(X,Vt),X,Vt)
      | ~ topological_space(X,Vt)
      | hausdorff(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,axiom,
    ! [Va1,Va2,X,Vt] :
      ( topological_space(X,Vt)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,axiom,
    ! [Va1,Va2,X,Vt] :
      ( ~ equal_sets(Va1,empty_set)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f83,axiom,
    ! [Va1,Va2,X,Vt] :
      ( ~ equal_sets(Va2,empty_set)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f84,axiom,
    ! [Va1,Va2,X,Vt] :
      ( element_of_collection(Va1,Vt)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,axiom,
    ! [Va1,Va2,X,Vt] :
      ( element_of_collection(Va2,Vt)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,axiom,
    ! [Va1,Va2,X,Vt] :
      ( equal_sets(union_of_sets(Va1,Va2),X)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f87,axiom,
    ! [Va1,Va2,X,Vt] :
      ( disjoint_s(Va1,Va2)
      | ~ separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,axiom,
    ! [Va1,Va2,X,Vt] :
      ( ~ disjoint_s(Va1,Va2)
      | ~ equal_sets(union_of_sets(Va1,Va2),X)
      | ~ element_of_collection(Va2,Vt)
      | ~ element_of_collection(Va1,Vt)
      | equal_sets(Va2,empty_set)
      | equal_sets(Va1,empty_set)
      | ~ topological_space(X,Vt)
      | separation(Va1,Va2,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,axiom,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ~ connected_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f90,axiom,
    ! [X,Vt,Va1,Va2] :
      ( ~ separation(Va1,Va2,X,Vt)
      | ~ connected_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,axiom,
    ! [X,Vt] :
      ( separation(f21(X,Vt),f22(X,Vt),X,Vt)
      | ~ topological_space(X,Vt)
      | connected_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,axiom,
    ! [Va,X,Vt] :
      ( topological_space(X,Vt)
      | ~ connected_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,axiom,
    ! [Va,X,Vt] :
      ( subset_sets(Va,X)
      | ~ connected_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,axiom,
    ! [Va,X,Vt] :
      ( connected_space(Va,subspace_topology(X,Vt,Va))
      | ~ connected_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,axiom,
    ! [Va,X,Vt] :
      ( ~ connected_space(Va,subspace_topology(X,Vt,Va))
      | ~ subset_sets(Va,X)
      | ~ topological_space(X,Vt)
      | connected_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,axiom,
    ! [Vf,X,Vt] :
      ( topological_space(X,Vt)
      | ~ open_covering(Vf,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,axiom,
    ! [Vf,X,Vt] :
      ( subset_collections(Vf,Vt)
      | ~ open_covering(Vf,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,axiom,
    ! [Vf,X,Vt] :
      ( equal_sets(union_of_members(Vf),X)
      | ~ open_covering(Vf,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [Vf,X,Vt] :
      ( ~ equal_sets(union_of_members(Vf),X)
      | ~ subset_collections(Vf,Vt)
      | ~ topological_space(X,Vt)
      | open_covering(Vf,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ~ compact_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,axiom,
    ! [X,Vt,Vf1] :
      ( finite(f23(X,Vt,Vf1))
      | ~ open_covering(Vf1,X,Vt)
      | ~ compact_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,axiom,
    ! [X,Vt,Vf1] :
      ( subset_collections(f23(X,Vt,Vf1),Vf1)
      | ~ open_covering(Vf1,X,Vt)
      | ~ compact_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,axiom,
    ! [X,Vt,Vf1] :
      ( open_covering(f23(X,Vt,Vf1),X,Vt)
      | ~ open_covering(Vf1,X,Vt)
      | ~ compact_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [X,Vt] :
      ( open_covering(f24(X,Vt),X,Vt)
      | ~ topological_space(X,Vt)
      | compact_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f105,axiom,
    ! [X,Vt,Uu24] :
      ( ~ open_covering(Uu24,X,Vt)
      | ~ subset_collections(Uu24,f24(X,Vt))
      | ~ finite(Uu24)
      | ~ topological_space(X,Vt)
      | compact_space(X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,axiom,
    ! [Va,X,Vt] :
      ( topological_space(X,Vt)
      | ~ compact_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f107,axiom,
    ! [Va,X,Vt] :
      ( subset_sets(Va,X)
      | ~ compact_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f108,axiom,
    ! [Va,X,Vt] :
      ( compact_space(Va,subspace_topology(X,Vt,Va))
      | ~ compact_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f109,axiom,
    ! [Va,X,Vt] :
      ( ~ compact_space(Va,subspace_topology(X,Vt,Va))
      | ~ subset_sets(Va,X)
      | ~ topological_space(X,Vt)
      | compact_set(Va,X,Vt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f110,negated_conjecture,
    topological_space(cx,ct),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    subset_sets(a,cx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f112,negated_conjecture,
    ~ equal_sets(intersection_of_sets(interior(a,cx,ct),boundary(a,cx,ct)),empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,plain,
    ! [X0,X1] :
      ( element_of_set(X0,f1(X1,X0))
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(X1,X0),X1)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f115,plain,
    ! [Vf,Uu1] :
      ( ~ element_of_collection(Uu1,Vf)
      | ! [U] :
          ( ~ element_of_set(U,Uu1)
          | element_of_set(U,union_of_members(Vf)) ) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(X2,X1)
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(cnf_transformation,[status(thm)],[f115]) ).

fof(f117,plain,
    ! [U,Va] :
      ( element_of_set(U,Va)
      | ! [Vf] :
          ( ~ element_of_collection(Va,Vf)
          | ~ element_of_set(U,intersection_of_members(Vf)) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X0,X2)
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(cnf_transformation,[status(thm)],[f117]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(X1,X0),X1)
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X0,f2(X1,X0))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( equal_sets(union_of_members(X1),X0)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f122,plain,
    ! [Vt] :
      ( element_of_collection(empty_set,Vt)
      | ! [X] : ~ topological_space(X,Vt) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,X1)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f122]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( element_of_collection(X0,X1)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f125,plain,
    ! [Vt,Y,Z] :
      ( element_of_collection(intersection_of_sets(Y,Z),Vt)
      | ~ element_of_collection(Z,Vt)
      | ~ element_of_collection(Y,Vt)
      | ! [X] : ~ topological_space(X,Vt) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(X2,X3),X1)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_collection(X2,X1)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f127,plain,
    ! [Vt,Vf] :
      ( element_of_collection(union_of_members(Vf),Vt)
      | ~ subset_collections(Vf,Vt)
      | ! [X] : ~ topological_space(X,Vt) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X2),X1)
      | ~ subset_collections(X2,X1)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f127]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f135,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U] : ~ open(U,X,Vt) ),
    inference(miniscoping,[status(thm)],[f18]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ open(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f137,plain,
    ! [U,Vt] :
      ( element_of_collection(U,Vt)
      | ! [X] : ~ open(U,X,Vt) ),
    inference(miniscoping,[status(thm)],[f19]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(X0,X2)
      | ~ open(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f137]) ).

fof(f139,plain,
    ! [U,Vt] :
      ( ~ element_of_collection(U,Vt)
      | ! [X] :
          ( ~ topological_space(X,Vt)
          | open(U,X,Vt) ) ),
    inference(miniscoping,[status(thm)],[f20]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(X0,X2)
      | ~ topological_space(X1,X2)
      | open(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f139]) ).

fof(f141,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U] : ~ closed(U,X,Vt) ),
    inference(miniscoping,[status(thm)],[f21]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ closed(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f141]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( open(relative_complement_sets(X0,X1),X1,X2)
      | ~ closed(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( ~ open(relative_complement_sets(X0,X1),X1,X2)
      | ~ topological_space(X1,X2)
      | closed(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f145,plain,
    ! [Vt,X] :
      ( topological_space(X,Vt)
      | ! [Vs] : ~ finer(Vt,Vs,X) ),
    inference(miniscoping,[status(thm)],[f24]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( topological_space(X2,X0)
      | ~ finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f147,plain,
    ! [Vs,X] :
      ( topological_space(X,Vs)
      | ! [Vt] : ~ finer(Vt,Vs,X) ),
    inference(miniscoping,[status(thm)],[f25]) ).

fof(f148,plain,
    ! [X0,X1,X2] :
      ( topological_space(X2,X1)
      | ~ finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f147]) ).

fof(f149,plain,
    ! [Vt,Vs] :
      ( subset_collections(Vs,Vt)
      | ! [X] : ~ finer(Vt,Vs,X) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( subset_collections(X1,X0)
      | ~ finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f149]) ).

fof(f151,plain,
    ! [Vt,Vs] :
      ( ~ subset_collections(Vs,Vt)
      | ! [X] :
          ( ~ topological_space(X,Vs)
          | ~ topological_space(X,Vt)
          | finer(Vt,Vs,X) ) ),
    inference(miniscoping,[status(thm)],[f27]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X1)
      | ~ topological_space(X2,X0)
      | finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f151]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( equal_sets(union_of_members(X1),X0)
      | ~ basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f6(X0,X1,X2,X3,X4))
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X4,X1)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f6(X0,X1,X2,X3,X4),X1)
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X4,X1)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f6(X0,X1,X2,X3,X4),intersection_of_sets(X3,X4))
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X4,X1)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( element_of_set(f7(X0,X1),X0)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( element_of_collection(f8(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( element_of_collection(f9(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( element_of_set(f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f161,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f162,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f10(X1,X0,X2))
      | ~ element_of_set(X2,X0)
      | ~ element_of_collection(X0,top_of_basis(X1)) ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f163,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X1,X0,X2),X1)
      | ~ element_of_set(X2,X0)
      | ~ element_of_collection(X0,top_of_basis(X1)) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f164,plain,
    ! [X0,X1,X2] :
      ( subset_sets(f10(X1,X0,X2),X0)
      | ~ element_of_set(X2,X0)
      | ~ element_of_collection(X0,top_of_basis(X1)) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,X0),X0)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f166,plain,
    ! [U,Uu11] :
      ( ~ subset_sets(Uu11,U)
      | ! [Vf] :
          ( ~ element_of_collection(Uu11,Vf)
          | ~ element_of_set(f11(Vf,U),Uu11)
          | element_of_collection(U,top_of_basis(Vf)) ) ),
    inference(miniscoping,[status(thm)],[f41]) ).

fof(f167,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(X2,X0)
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f11(X1,X0),X2)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(cnf_transformation,[status(thm)],[f166]) ).

fof(f168,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    inference(miniscoping,[status(thm)],[f42]) ).

fof(f169,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X1,X2)
      | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f168]) ).

fof(f170,plain,
    ! [X,Y] :
      ( subset_sets(Y,X)
      | ! [U,Vt] : ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    inference(miniscoping,[status(thm)],[f43]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X3,X1)
      | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f170]) ).

fof(f172,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f12(X1,X2,X3,X0),X2)
      | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f173,plain,
    ! [X0,X1,X2,X3] :
      ( equal_sets(X0,intersection_of_sets(X3,f12(X1,X2,X3,X0)))
      | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f174,plain,
    ! [U,Y,Uu12] :
      ( ~ equal_sets(U,intersection_of_sets(Y,Uu12))
      | ! [Vt] :
          ( ~ element_of_collection(Uu12,Vt)
          | ! [X] :
              ( ~ subset_sets(Y,X)
              | ~ topological_space(X,Vt)
              | element_of_collection(U,subspace_topology(X,Vt,Y)) ) ) ),
    inference(miniscoping,[status(thm)],[f46]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ equal_sets(X0,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X4,X2)
      | ~ subset_sets(X3,X1)
      | ~ topological_space(X1,X2)
      | element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f174]) ).

fof(f176,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_set(U,interior(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f47]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f178,plain,
    ! [Y,X] :
      ( subset_sets(Y,X)
      | ! [U,Vt] : ~ element_of_set(U,interior(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f48]) ).

fof(f179,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,X2)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f178]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X0,f13(X1,X2,X3,X0))
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f181,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(f13(X1,X2,X3,X0),X1)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f182,plain,
    ! [X0,X1,X2,X3] :
      ( open(f13(X1,X2,X3,X0),X2,X3)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f183,plain,
    ! [X,Vt,Uu13] :
      ( ~ open(Uu13,X,Vt)
      | ! [Y] :
          ( ~ subset_sets(Uu13,Y)
          | ! [U] :
              ( ~ element_of_set(U,Uu13)
              | ~ subset_sets(Y,X)
              | ~ topological_space(X,Vt)
              | element_of_set(U,interior(Y,X,Vt)) ) ) ),
    inference(miniscoping,[status(thm)],[f52]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ open(X4,X2,X3)
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f183]) ).

fof(f185,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_set(U,closure(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f53]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f185]) ).

fof(f187,plain,
    ! [Y,X] :
      ( subset_sets(Y,X)
      | ! [U,Vt] : ~ element_of_set(U,closure(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f54]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,X2)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f187]) ).

fof(f189,plain,
    ! [U,V] :
      ( element_of_set(U,V)
      | ! [X,Vt] :
          ( ~ closed(V,X,Vt)
          | ! [Y] :
              ( ~ subset_sets(Y,V)
              | ~ element_of_set(U,closure(Y,X,Vt)) ) ) ),
    inference(miniscoping,[status(thm)],[f55]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X0,X4)
      | ~ closed(X4,X2,X3)
      | ~ subset_sets(X1,X4)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f189]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( closed(f14(X1,X2,X3,X0),X2,X3)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f58]) ).

fof(f194,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ neighborhood(U,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f59]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f194]) ).

fof(f196,plain,
    ! [U,X,Vt] :
      ( open(U,X,Vt)
      | ! [Y] : ~ neighborhood(U,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f60]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3] :
      ( open(X0,X2,X3)
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f198,plain,
    ! [U,Y] :
      ( element_of_set(Y,U)
      | ! [X,Vt] : ~ neighborhood(U,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f61]) ).

fof(f199,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,X0)
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f198]) ).

fof(f200,plain,
    ! [U,Y] :
      ( ~ element_of_set(Y,U)
      | ! [X,Vt] :
          ( ~ open(U,X,Vt)
          | ~ topological_space(X,Vt)
          | neighborhood(U,Y,X,Vt) ) ),
    inference(miniscoping,[status(thm)],[f62]) ).

fof(f201,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X1,X0)
      | ~ open(X0,X2,X3)
      | ~ topological_space(X2,X3)
      | neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f200]) ).

fof(f202,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Z,Y] : ~ limit_point(Z,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f63]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f202]) ).

fof(f204,plain,
    ! [Y,X] :
      ( subset_sets(Y,X)
      | ! [Z,Vt] : ~ limit_point(Z,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f64]) ).

fof(f205,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,X2)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f204]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f15(X0,X1,X2,X3,X4),intersection_of_sets(X4,X1))
      | ~ neighborhood(X4,X0,X2,X3)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
      | ~ neighborhood(X4,X0,X2,X3)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f209,plain,
    ! [Z,Uu16] :
      ( eq_p(Uu16,Z)
      | ! [Y,X,Vt] :
          ( ~ element_of_set(Uu16,intersection_of_sets(f16(Z,Y,X,Vt),Y))
          | ~ subset_sets(Y,X)
          | ~ topological_space(X,Vt)
          | limit_point(Z,Y,X,Vt) ) ),
    inference(miniscoping,[status(thm)],[f68]) ).

fof(f210,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eq_p(X4,X0)
      | ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f211,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_set(U,boundary(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f69]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f211]) ).

fof(f213,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X0,closure(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f214,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f215,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
      | ~ element_of_set(X0,closure(X1,X2,X3))
      | ~ topological_space(X2,X3)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( topological_space(X0,X1)
      | ~ hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f17(X0,X1,X2,X3),X2,X0,X1)
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f218,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f18(X0,X1,X2,X3),X3,X0,X1)
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f219,plain,
    ! [X0,X1,X2,X3] :
      ( disjoint_s(f17(X0,X1,X2,X3),f18(X0,X1,X2,X3))
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( element_of_set(f19(X0,X1),X0)
      | ~ topological_space(X0,X1)
      | hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( element_of_set(f20(X0,X1),X0)
      | ~ topological_space(X0,X1)
      | hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ eq_p(f19(X0,X1),f20(X0,X1))
      | ~ topological_space(X0,X1)
      | hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f223,plain,
    ! [Uu19,Uu20] :
      ( ~ disjoint_s(Uu19,Uu20)
      | ! [X,Vt] :
          ( ~ neighborhood(Uu20,f20(X,Vt),X,Vt)
          | ~ neighborhood(Uu19,f19(X,Vt),X,Vt)
          | ~ topological_space(X,Vt)
          | hausdorff(X,Vt) ) ),
    inference(miniscoping,[status(thm)],[f80]) ).

fof(f224,plain,
    ! [X0,X1,X2,X3] :
      ( ~ disjoint_s(X2,X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | ~ topological_space(X0,X1)
      | hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f223]) ).

fof(f225,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Va1,Va2] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f81]) ).

fof(f226,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f225]) ).

fof(f227,plain,
    ! [Va1] :
      ( ~ equal_sets(Va1,empty_set)
      | ! [Va2,X,Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f82]) ).

fof(f228,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equal_sets(X0,empty_set)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f227]) ).

fof(f229,plain,
    ! [Va2] :
      ( ~ equal_sets(Va2,empty_set)
      | ! [Va1,X,Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f83]) ).

fof(f230,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equal_sets(X1,empty_set)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f229]) ).

fof(f231,plain,
    ! [Va1,Vt] :
      ( element_of_collection(Va1,Vt)
      | ! [Va2,X] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f84]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(X0,X3)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f231]) ).

fof(f233,plain,
    ! [Va2,Vt] :
      ( element_of_collection(Va2,Vt)
      | ! [Va1,X] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f85]) ).

fof(f234,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(X1,X3)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f233]) ).

fof(f235,plain,
    ! [Va1,Va2,X] :
      ( equal_sets(union_of_sets(Va1,Va2),X)
      | ! [Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f86]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3] :
      ( equal_sets(union_of_sets(X0,X1),X2)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f235]) ).

fof(f237,plain,
    ! [Va1,Va2] :
      ( disjoint_s(Va1,Va2)
      | ! [X,Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f87]) ).

fof(f238,plain,
    ! [X0,X1,X2,X3] :
      ( disjoint_s(X0,X1)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f237]) ).

fof(f239,plain,
    ! [Va1,Va2] :
      ( ~ disjoint_s(Va1,Va2)
      | ! [X] :
          ( ~ equal_sets(union_of_sets(Va1,Va2),X)
          | ! [Vt] :
              ( ~ element_of_collection(Va2,Vt)
              | ~ element_of_collection(Va1,Vt)
              | equal_sets(Va2,empty_set)
              | equal_sets(Va1,empty_set)
              | ~ topological_space(X,Vt)
              | separation(Va1,Va2,X,Vt) ) ) ),
    inference(miniscoping,[status(thm)],[f88]) ).

fof(f240,plain,
    ! [X0,X1,X2,X3] :
      ( ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | ~ element_of_collection(X1,X3)
      | ~ element_of_collection(X0,X3)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | ~ topological_space(X2,X3)
      | separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f239]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( topological_space(X0,X1)
      | ~ connected_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f242,plain,
    ! [X,Vt] :
      ( ! [Va1,Va2] : ~ separation(Va1,Va2,X,Vt)
      | ~ connected_space(X,Vt) ),
    inference(miniscoping,[status(thm)],[f90]) ).

fof(f243,plain,
    ! [X0,X1,X2,X3] :
      ( ~ separation(X2,X3,X0,X1)
      | ~ connected_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f242]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | ~ topological_space(X0,X1)
      | connected_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f245,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Va] : ~ connected_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f92]) ).

fof(f246,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f247,plain,
    ! [Va,X] :
      ( subset_sets(Va,X)
      | ! [Vt] : ~ connected_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f93]) ).

fof(f248,plain,
    ! [X0,X1,X2] :
      ( subset_sets(X0,X1)
      | ~ connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f247]) ).

fof(f249,plain,
    ! [X0,X1,X2] :
      ( connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f250,plain,
    ! [X0,X1,X2] :
      ( ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ subset_sets(X0,X1)
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f95]) ).

fof(f251,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Vf] : ~ open_covering(Vf,X,Vt) ),
    inference(miniscoping,[status(thm)],[f96]) ).

fof(f252,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f251]) ).

fof(f253,plain,
    ! [Vf,Vt] :
      ( subset_collections(Vf,Vt)
      | ! [X] : ~ open_covering(Vf,X,Vt) ),
    inference(miniscoping,[status(thm)],[f97]) ).

fof(f254,plain,
    ! [X0,X1,X2] :
      ( subset_collections(X0,X2)
      | ~ open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f253]) ).

fof(f255,plain,
    ! [Vf,X] :
      ( equal_sets(union_of_members(Vf),X)
      | ! [Vt] : ~ open_covering(Vf,X,Vt) ),
    inference(miniscoping,[status(thm)],[f98]) ).

fof(f256,plain,
    ! [X0,X1,X2] :
      ( equal_sets(union_of_members(X0),X1)
      | ~ open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f255]) ).

fof(f257,plain,
    ! [Vf,X] :
      ( ~ equal_sets(union_of_members(Vf),X)
      | ! [Vt] :
          ( ~ subset_collections(Vf,Vt)
          | ~ topological_space(X,Vt)
          | open_covering(Vf,X,Vt) ) ),
    inference(miniscoping,[status(thm)],[f99]) ).

fof(f258,plain,
    ! [X0,X1,X2] :
      ( ~ equal_sets(union_of_members(X0),X1)
      | ~ subset_collections(X0,X2)
      | ~ topological_space(X1,X2)
      | open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( topological_space(X0,X1)
      | ~ compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f260,plain,
    ! [X0,X1,X2] :
      ( finite(f23(X0,X1,X2))
      | ~ open_covering(X2,X0,X1)
      | ~ compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f261,plain,
    ! [X0,X1,X2] :
      ( subset_collections(f23(X0,X1,X2),X2)
      | ~ open_covering(X2,X0,X1)
      | ~ compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f102]) ).

fof(f262,plain,
    ! [X0,X1,X2] :
      ( open_covering(f23(X0,X1,X2),X0,X1)
      | ~ open_covering(X2,X0,X1)
      | ~ compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f103]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( open_covering(f24(X0,X1),X0,X1)
      | ~ topological_space(X0,X1)
      | compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f264,plain,
    ! [X0,X1,X2] :
      ( ~ open_covering(X2,X0,X1)
      | ~ subset_collections(X2,f24(X0,X1))
      | ~ finite(X2)
      | ~ topological_space(X0,X1)
      | compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f105]) ).

fof(f265,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Va] : ~ compact_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f106]) ).

fof(f266,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f267,plain,
    ! [Va,X] :
      ( subset_sets(Va,X)
      | ! [Vt] : ~ compact_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f107]) ).

fof(f268,plain,
    ! [X0,X1,X2] :
      ( subset_sets(X0,X1)
      | ~ compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f267]) ).

fof(f269,plain,
    ! [X0,X1,X2] :
      ( compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f108]) ).

fof(f270,plain,
    ! [X0,X1,X2] :
      ( ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ subset_sets(X0,X1)
      | ~ topological_space(X1,X2)
      | compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f109]) ).

fof(f271,plain,
    topological_space(cx,ct),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f272,plain,
    subset_sets(a,cx),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f273,plain,
    ~ equal_sets(intersection_of_sets(interior(a,cx,ct),boundary(a,cx,ct)),empty_set),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f274,plain,
    element_of_collection(cx,ct),
    inference(resolution,[status(thm)],[f124,f271]) ).

fof(f275,plain,
    element_of_collection(empty_set,ct),
    inference(resolution,[status(thm)],[f123,f271]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(X0,X1),ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f126,f271]) ).

fof(f277,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f275]) ).

fof(f278,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f274]) ).

fof(f279,plain,
    element_of_collection(intersection_of_sets(empty_set,empty_set),ct),
    inference(resolution,[status(thm)],[f277,f275]) ).

fof(f280,plain,
    element_of_collection(intersection_of_sets(empty_set,cx),ct),
    inference(resolution,[status(thm)],[f277,f274]) ).

fof(f281,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f279,f277]) ).

fof(f282,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f279,f276]) ).

fof(f283,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f280,f277]) ).

fof(f284,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f280,f276]) ).

fof(f285,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f278,f280]) ).

fof(f286,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f278,f279]) ).

fof(f287,plain,
    element_of_collection(intersection_of_sets(cx,empty_set),ct),
    inference(resolution,[status(thm)],[f278,f275]) ).

fof(f288,plain,
    element_of_collection(intersection_of_sets(cx,cx),ct),
    inference(resolution,[status(thm)],[f278,f274]) ).

fof(f289,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f287,f278]) ).

fof(f290,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f287,f277]) ).

fof(f291,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f287,f276]) ).

fof(f292,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f288,f278]) ).

fof(f293,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f288,f277]) ).

fof(f294,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f288,f276]) ).

fof(f295,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f281,f278]) ).

fof(f296,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f281,f277]) ).

fof(f297,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f281,f276]) ).

fof(f298,plain,
    equal_sets(union_of_members(ct),cx),
    inference(resolution,[status(thm)],[f121,f271]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f288]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f287]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f281]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f280]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f279]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ element_of_set(X0,empty_set)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f275]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ element_of_set(X0,cx)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f274]) ).

fof(f306,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f278]) ).

fof(f307,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f277]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f276]) ).

fof(f309,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,f2(X1,X0))
      | element_of_set(X2,union_of_members(X1))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f119,f116]) ).

fof(f310,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f306,f278]) ).

fof(f311,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f306,f277]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f306,f276]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f306,f116]) ).

fof(f314,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f307,f278]) ).

fof(f315,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f307,f277]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f307,f276]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f307,f116]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f119]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f306]) ).

fof(f320,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f288]) ).

fof(f321,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f287]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f307]) ).

fof(f323,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f281]) ).

fof(f324,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f280]) ).

fof(f325,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f279]) ).

fof(f326,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f275]) ).

fof(f327,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f274]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f308]) ).

fof(f329,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f278]) ).

fof(f330,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f277]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f276]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f116]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f308]) ).

fof(f334,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f278]) ).

fof(f335,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f277]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f276]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f116]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f308]) ).

fof(f339,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f278]) ).

fof(f340,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f277]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f276]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f116]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f308]) ).

fof(f344,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f278]) ).

fof(f345,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f277]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f276]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f116]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f308]) ).

fof(f349,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f278]) ).

fof(f350,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f277]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f276]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f116]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f308]) ).

fof(f354,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f278]) ).

fof(f355,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f277]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f276]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f116]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f308]) ).

fof(f359,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f278]) ).

fof(f360,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f277]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f276]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f116]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f308]) ).

fof(f364,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f278]) ).

fof(f365,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f277]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f276]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f116]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f308]) ).

fof(f369,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f278]) ).

fof(f370,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f277]) ).

fof(f371,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f276]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f116]) ).

fof(f373,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f308]) ).

fof(f374,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f278]) ).

fof(f375,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f277]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f276]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f116]) ).

fof(f378,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f308]) ).

fof(f379,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f278]) ).

fof(f380,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f277]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f276]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f116]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f308]) ).

fof(f384,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f278]) ).

fof(f385,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f277]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f276]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f116]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f308]) ).

fof(f389,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f278]) ).

fof(f390,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f277]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f276]) ).

fof(f392,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f116]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f308]) ).

fof(f394,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f278]) ).

fof(f395,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f277]) ).

fof(f396,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f276]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f116]) ).

fof(f398,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f119]) ).

fof(f399,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f325]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f324]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f321]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f320]) ).

fof(f403,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f327]) ).

fof(f404,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f326]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f334]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f329]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f314]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f310]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f306]) ).

fof(f410,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f288]) ).

fof(f411,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f287]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f307]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f335]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f330]) ).

fof(f415,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f311]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f315]) ).

fof(f417,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f281]) ).

fof(f418,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f280]) ).

fof(f419,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f279]) ).

fof(f420,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f275]) ).

fof(f421,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f274]) ).

fof(f422,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f312]) ).

fof(f423,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f308]) ).

fof(f424,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f278]) ).

fof(f425,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f277]) ).

fof(f426,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f276]) ).

fof(f427,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f116]) ).

fof(f428,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f312]) ).

fof(f429,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f308]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f278]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f277]) ).

fof(f432,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f276]) ).

fof(f433,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X0),f2(ct,X1)))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f116]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f119]) ).

fof(f435,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f420]) ).

fof(f436,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f318]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f325]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f324]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f321]) ).

fof(f440,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f320]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f327]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f326]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f334]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f329]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f314]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f310]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f306]) ).

fof(f448,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f288]) ).

fof(f449,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f287]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f307]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f335]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f330]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f311]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f315]) ).

fof(f455,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f281]) ).

fof(f456,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f280]) ).

fof(f457,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f279]) ).

fof(f458,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f275]) ).

fof(f459,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f274]) ).

fof(f460,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f316]) ).

fof(f461,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f312]) ).

fof(f462,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f308]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f278]) ).

fof(f464,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f277]) ).

fof(f465,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f276]) ).

fof(f466,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f319,f116]) ).

fof(f467,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f316]) ).

fof(f468,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f312]) ).

fof(f469,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f308]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f278]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f277]) ).

fof(f472,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f276]) ).

fof(f473,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f322,f116]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f316]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f312]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f308]) ).

fof(f477,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f278]) ).

fof(f478,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f277]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f276]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f116]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f316]) ).

fof(f482,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f312]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f308]) ).

fof(f484,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f278]) ).

fof(f485,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f277]) ).

fof(f486,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f276]) ).

fof(f487,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f116]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f316]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f312]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f308]) ).

fof(f491,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f278]) ).

fof(f492,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f277]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f276]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f116]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f316]) ).

fof(f496,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f312]) ).

fof(f497,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f308]) ).

fof(f498,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f278]) ).

fof(f499,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f277]) ).

fof(f500,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f276]) ).

fof(f501,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f116]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f119]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f459]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f458]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f421]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f420]) ).

fof(f507,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f318]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f323]) ).

fof(f509,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f322]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f325]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f324]) ).

fof(f512,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f319]) ).

fof(f513,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f321]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f320]) ).

fof(f515,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f327]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f326]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f334]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f329]) ).

fof(f519,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f314]) ).

fof(f520,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f310]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f306]) ).

fof(f522,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f288]) ).

fof(f523,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f287]) ).

fof(f524,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f307]) ).

fof(f525,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f335]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f330]) ).

fof(f527,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f311]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f315]) ).

fof(f529,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f281]) ).

fof(f530,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f280]) ).

fof(f531,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f279]) ).

fof(f532,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f275]) ).

fof(f533,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f274]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f331]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f316]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f312]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f308]) ).

fof(f538,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f278]) ).

fof(f539,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f277]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f276]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f116]) ).

fof(f542,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f331]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f316]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f312]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f308]) ).

fof(f546,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f278]) ).

fof(f547,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f277]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f276]) ).

fof(f549,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f116]) ).

fof(f550,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f119]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f533]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f532]) ).

fof(f553,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f459]) ).

fof(f554,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f458]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f421]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f420]) ).

fof(f557,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f318]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f323]) ).

fof(f559,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f322]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f325]) ).

fof(f561,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f324]) ).

fof(f562,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f319]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f321]) ).

fof(f564,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f320]) ).

fof(f565,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f327]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f326]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f334]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f329]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f314]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f310]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f306]) ).

fof(f572,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f288]) ).

fof(f573,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f287]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f307]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f335]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f330]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f311]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f315]) ).

fof(f579,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f281]) ).

fof(f580,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f280]) ).

fof(f581,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f279]) ).

fof(f582,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f275]) ).

fof(f583,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f274]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f336]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f331]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f316]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f312]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f308]) ).

fof(f589,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f278]) ).

fof(f590,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f277]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f276]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f116]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f336]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f331]) ).

fof(f595,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f316]) ).

fof(f596,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f312]) ).

fof(f597,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f308]) ).

fof(f598,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f278]) ).

fof(f599,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f277]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f276]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f116]) ).

fof(f602,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f336]) ).

fof(f603,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f331]) ).

fof(f604,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f316]) ).

fof(f605,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f312]) ).

fof(f606,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f308]) ).

fof(f607,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f278]) ).

fof(f608,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f277]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f276]) ).

fof(f610,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f116]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f336]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f331]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f316]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f312]) ).

fof(f615,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f308]) ).

fof(f616,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f278]) ).

fof(f617,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f277]) ).

fof(f618,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f276]) ).

fof(f619,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f116]) ).

fof(f620,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f336]) ).

fof(f621,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f331]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f316]) ).

fof(f623,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f312]) ).

fof(f624,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f308]) ).

fof(f625,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f278]) ).

fof(f626,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f277]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f276]) ).

fof(f628,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f116]) ).

fof(f629,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f336]) ).

fof(f630,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f331]) ).

fof(f631,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f316]) ).

fof(f632,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f312]) ).

fof(f633,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f308]) ).

fof(f634,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f278]) ).

fof(f635,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f277]) ).

fof(f636,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f276]) ).

fof(f637,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f116]) ).

fof(f638,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f336]) ).

fof(f639,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f331]) ).

fof(f640,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f316]) ).

fof(f641,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f312]) ).

fof(f642,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f308]) ).

fof(f643,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f278]) ).

fof(f644,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f277]) ).

fof(f645,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f276]) ).

fof(f646,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f116]) ).

fof(f647,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f336]) ).

fof(f648,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f331]) ).

fof(f649,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f316]) ).

fof(f650,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f312]) ).

fof(f651,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f308]) ).

fof(f652,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f278]) ).

fof(f653,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f277]) ).

fof(f654,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f276]) ).

fof(f655,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f116]) ).

fof(f656,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f336]) ).

fof(f657,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f331]) ).

fof(f658,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f316]) ).

fof(f659,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f312]) ).

fof(f660,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f308]) ).

fof(f661,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f278]) ).

fof(f662,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f277]) ).

fof(f663,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f276]) ).

fof(f664,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f116]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f336]) ).

fof(f666,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f331]) ).

fof(f667,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f316]) ).

fof(f668,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f312]) ).

fof(f669,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f308]) ).

fof(f670,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f278]) ).

fof(f671,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f277]) ).

fof(f672,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f276]) ).

fof(f673,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f116]) ).

fof(f674,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f336]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f331]) ).

fof(f676,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f316]) ).

fof(f677,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f312]) ).

fof(f678,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f308]) ).

fof(f679,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f278]) ).

fof(f680,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f277]) ).

fof(f681,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f276]) ).

fof(f682,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f116]) ).

fof(f683,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f336]) ).

fof(f684,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f331]) ).

fof(f685,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f316]) ).

fof(f686,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f312]) ).

fof(f687,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f308]) ).

fof(f688,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f278]) ).

fof(f689,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f277]) ).

fof(f690,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f276]) ).

fof(f691,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f116]) ).

fof(f692,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f336]) ).

fof(f693,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f331]) ).

fof(f694,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f316]) ).

fof(f695,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f312]) ).

fof(f696,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f308]) ).

fof(f697,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f278]) ).

fof(f698,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f277]) ).

fof(f699,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f276]) ).

fof(f700,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f116]) ).

fof(f701,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f336]) ).

fof(f702,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f331]) ).

fof(f703,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f316]) ).

fof(f704,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f312]) ).

fof(f705,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f308]) ).

fof(f706,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f278]) ).

fof(f707,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f277]) ).

fof(f708,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f276]) ).

fof(f709,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f116]) ).

fof(f710,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f336]) ).

fof(f711,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f331]) ).

fof(f712,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f316]) ).

fof(f713,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f312]) ).

fof(f714,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f308]) ).

fof(f715,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f278]) ).

fof(f716,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f277]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f276]) ).

fof(f718,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f116]) ).

fof(f719,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f336]) ).

fof(f720,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f331]) ).

fof(f721,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f316]) ).

fof(f722,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f312]) ).

fof(f723,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f308]) ).

fof(f724,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f278]) ).

fof(f725,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f277]) ).

fof(f726,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f276]) ).

fof(f727,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f116]) ).

fof(f728,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f336]) ).

fof(f729,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f331]) ).

fof(f730,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f316]) ).

fof(f731,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f312]) ).

fof(f732,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f308]) ).

fof(f733,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f278]) ).

fof(f734,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f277]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f276]) ).

fof(f736,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f116]) ).

fof(f737,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f336]) ).

fof(f738,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f331]) ).

fof(f739,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f316]) ).

fof(f740,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f312]) ).

fof(f741,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f308]) ).

fof(f742,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f278]) ).

fof(f743,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f277]) ).

fof(f744,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f276]) ).

fof(f745,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f116]) ).

fof(f746,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f336]) ).

fof(f747,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f331]) ).

fof(f748,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f316]) ).

fof(f749,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f312]) ).

fof(f750,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f308]) ).

fof(f751,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f278]) ).

fof(f752,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f277]) ).

fof(f753,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f276]) ).

fof(f754,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f116]) ).

fof(f755,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f336]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f331]) ).

fof(f757,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f316]) ).

fof(f758,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f312]) ).

fof(f759,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f308]) ).

fof(f760,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f278]) ).

fof(f761,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f277]) ).

fof(f762,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f276]) ).

fof(f763,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f116]) ).

fof(f764,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f336]) ).

fof(f765,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f331]) ).

fof(f766,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f316]) ).

fof(f767,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f312]) ).

fof(f768,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f308]) ).

fof(f769,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f278]) ).

fof(f770,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f277]) ).

fof(f771,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f276]) ).

fof(f772,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f116]) ).

fof(f773,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f336]) ).

fof(f774,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f331]) ).

fof(f775,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f316]) ).

fof(f776,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f312]) ).

fof(f777,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f308]) ).

fof(f778,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f278]) ).

fof(f779,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f277]) ).

fof(f780,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f276]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f116]) ).

fof(f782,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f336]) ).

fof(f783,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f331]) ).

fof(f784,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f316]) ).

fof(f785,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f312]) ).

fof(f786,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f308]) ).

fof(f787,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f278]) ).

fof(f788,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f277]) ).

fof(f789,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f276]) ).

fof(f790,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f116]) ).

fof(f791,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f336]) ).

fof(f792,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f331]) ).

fof(f793,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f316]) ).

fof(f794,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f312]) ).

fof(f795,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f308]) ).

fof(f796,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f278]) ).

fof(f797,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f277]) ).

fof(f798,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f276]) ).

fof(f799,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f116]) ).

fof(f800,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f336]) ).

fof(f801,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f331]) ).

fof(f802,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f316]) ).

fof(f803,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f312]) ).

fof(f804,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f308]) ).

fof(f805,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f278]) ).

fof(f806,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f277]) ).

fof(f807,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f276]) ).

fof(f808,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f116]) ).

fof(f809,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f336]) ).

fof(f810,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f331]) ).

fof(f811,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f316]) ).

fof(f812,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f312]) ).

fof(f813,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f308]) ).

fof(f814,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f278]) ).

fof(f815,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f277]) ).

fof(f816,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f276]) ).

fof(f817,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f116]) ).

fof(f818,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f336]) ).

fof(f819,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f331]) ).

fof(f820,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f316]) ).

fof(f821,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f312]) ).

fof(f822,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f308]) ).

fof(f823,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f278]) ).

fof(f824,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f277]) ).

fof(f825,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f276]) ).

fof(f826,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f116]) ).

fof(f827,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f336]) ).

fof(f828,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f331]) ).

fof(f829,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f316]) ).

fof(f830,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f312]) ).

fof(f831,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f308]) ).

fof(f832,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f278]) ).

fof(f833,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f277]) ).

fof(f834,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f276]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f116]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f336]) ).

fof(f837,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f331]) ).

fof(f838,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f316]) ).

fof(f839,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f312]) ).

fof(f840,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f308]) ).

fof(f841,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f278]) ).

fof(f842,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f277]) ).

fof(f843,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f276]) ).

fof(f844,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f116]) ).

fof(f845,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f336]) ).

fof(f846,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f331]) ).

fof(f847,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f316]) ).

fof(f848,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f312]) ).

fof(f849,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f308]) ).

fof(f850,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f278]) ).

fof(f851,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f277]) ).

fof(f852,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f276]) ).

fof(f853,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f116]) ).

fof(f854,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f336]) ).

fof(f855,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f331]) ).

fof(f856,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f316]) ).

fof(f857,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f312]) ).

fof(f858,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f308]) ).

fof(f859,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f278]) ).

fof(f860,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f277]) ).

fof(f861,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f276]) ).

fof(f862,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f116]) ).

fof(f863,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f336]) ).

fof(f864,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f331]) ).

fof(f865,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f316]) ).

fof(f866,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f312]) ).

fof(f867,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f308]) ).

fof(f868,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f278]) ).

fof(f869,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f277]) ).

fof(f870,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f276]) ).

fof(f871,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f116]) ).

fof(f872,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f336]) ).

fof(f873,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f331]) ).

fof(f874,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f316]) ).

fof(f875,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f312]) ).

fof(f876,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f308]) ).

fof(f877,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f278]) ).

fof(f878,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f277]) ).

fof(f879,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f276]) ).

fof(f880,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f116]) ).

fof(f881,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f336]) ).

fof(f882,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f331]) ).

fof(f883,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f316]) ).

fof(f884,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f312]) ).

fof(f885,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f308]) ).

fof(f886,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f278]) ).

fof(f887,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f277]) ).

fof(f888,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f276]) ).

fof(f889,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f116]) ).

fof(f890,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f336]) ).

fof(f891,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f331]) ).

fof(f892,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f316]) ).

fof(f893,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f312]) ).

fof(f894,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f308]) ).

fof(f895,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f278]) ).

fof(f896,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f277]) ).

fof(f897,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f276]) ).

fof(f898,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f116]) ).

fof(f899,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f336]) ).

fof(f900,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f331]) ).

fof(f901,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f316]) ).

fof(f902,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f312]) ).

fof(f903,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f308]) ).

fof(f904,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f278]) ).

fof(f905,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f277]) ).

fof(f906,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f276]) ).

fof(f907,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f116]) ).

fof(f908,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f336]) ).

fof(f909,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f331]) ).

fof(f910,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f316]) ).

fof(f911,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f312]) ).

fof(f912,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f308]) ).

fof(f913,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f278]) ).

fof(f914,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f277]) ).

fof(f915,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f276]) ).

fof(f916,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f116]) ).

fof(f917,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f336]) ).

fof(f918,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f331]) ).

fof(f919,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f316]) ).

fof(f920,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f312]) ).

fof(f921,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f308]) ).

fof(f922,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f278]) ).

fof(f923,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f277]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f276]) ).

fof(f925,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f116]) ).

fof(f926,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f336]) ).

fof(f927,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f331]) ).

fof(f928,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f316]) ).

fof(f929,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f312]) ).

fof(f930,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f308]) ).

fof(f931,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f278]) ).

fof(f932,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f277]) ).

fof(f933,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f276]) ).

fof(f934,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f116]) ).

fof(f935,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f336]) ).

fof(f936,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f331]) ).

fof(f937,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f316]) ).

fof(f938,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f312]) ).

fof(f939,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f308]) ).

fof(f940,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f278]) ).

fof(f941,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f277]) ).

fof(f942,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f276]) ).

fof(f943,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f116]) ).

fof(f944,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f336]) ).

fof(f945,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f331]) ).

fof(f946,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f316]) ).

fof(f947,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f312]) ).

fof(f948,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f308]) ).

fof(f949,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f278]) ).

fof(f950,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f277]) ).

fof(f951,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f276]) ).

fof(f952,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f328,f116]) ).

fof(f953,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f336]) ).

fof(f954,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f331]) ).

fof(f955,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f316]) ).

fof(f956,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f312]) ).

fof(f957,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f308]) ).

fof(f958,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f278]) ).

fof(f959,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f277]) ).

fof(f960,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f276]) ).

fof(f961,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f333,f116]) ).

fof(f962,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f336]) ).

fof(f963,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f331]) ).

fof(f964,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f316]) ).

fof(f965,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f312]) ).

fof(f966,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f308]) ).

fof(f967,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f278]) ).

fof(f968,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f277]) ).

fof(f969,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f276]) ).

fof(f970,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1))))
      | element_of_set(X3,union_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f429,f116]) ).

fof(f971,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f336]) ).

fof(f972,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f331]) ).

fof(f973,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f316]) ).

fof(f974,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f312]) ).

fof(f975,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f308]) ).

fof(f976,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f278]) ).

fof(f977,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f277]) ).

fof(f978,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f276]) ).

fof(f979,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f430,f116]) ).

fof(f980,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f336]) ).

fof(f981,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f331]) ).

fof(f982,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f316]) ).

fof(f983,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f312]) ).

fof(f984,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f308]) ).

fof(f985,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f278]) ).

fof(f986,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f277]) ).

fof(f987,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f276]) ).

fof(f988,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f431,f116]) ).

fof(f989,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),f2(ct,X2)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f119]) ).

fof(f990,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f583]) ).

fof(f991,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f582]) ).

fof(f992,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f533]) ).

fof(f993,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f532]) ).

fof(f994,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f457]) ).

fof(f995,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f456]) ).

fof(f996,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f449]) ).

fof(f997,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f448]) ).

fof(f998,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f459]) ).

fof(f999,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f458]) ).

fof(f1000,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f419]) ).

fof(f1001,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f418]) ).

fof(f1002,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f411]) ).

fof(f1003,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f410]) ).

fof(f1004,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f421]) ).

fof(f1005,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f420]) ).

fof(f1006,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),f2(ct,X3))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f318]) ).

fof(f1007,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),f2(ct,X4)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f429]) ).

fof(f1008,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f333]) ).

fof(f1009,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f328]) ).

fof(f1010,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f323]) ).

fof(f1011,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f322]) ).

fof(f1012,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f325]) ).

fof(f1013,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f324]) ).

fof(f1014,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f319]) ).

fof(f1015,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f321]) ).

fof(f1016,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f320]) ).

fof(f1017,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f327]) ).

fof(f1018,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(f2(ct,X2),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f326]) ).

fof(f1019,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f484]) ).

fof(f1020,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f477]) ).

fof(f1021,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f424]) ).

fof(f1022,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f430]) ).

fof(f1023,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f374]) ).

fof(f1024,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f369]) ).

fof(f1025,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f364]) ).

fof(f1026,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f359]) ).

fof(f1027,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f334]) ).

fof(f1028,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f329]) ).

fof(f1029,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f394]) ).

fof(f1030,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f384]) ).

fof(f1031,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f354]) ).

fof(f1032,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f344]) ).

fof(f1033,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f314]) ).

fof(f1034,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f389]) ).

fof(f1035,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f379]) ).

fof(f1036,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f349]) ).

fof(f1037,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f339]) ).

fof(f1038,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f310]) ).

fof(f1039,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,f2(ct,X2))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f306]) ).

fof(f1040,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f288]) ).

fof(f1041,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f287]) ).

fof(f1042,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,f2(ct,X2))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f307]) ).

fof(f1043,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f485]) ).

fof(f1044,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f478]) ).

fof(f1045,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f425]) ).

fof(f1046,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f431]) ).

fof(f1047,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f375]) ).

fof(f1048,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f370]) ).

fof(f1049,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f365]) ).

fof(f1050,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f360]) ).

fof(f1051,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f335]) ).

fof(f1052,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f330]) ).

fof(f1053,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f390]) ).

fof(f1054,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f380]) ).

fof(f1055,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f350]) ).

fof(f1056,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f340]) ).

fof(f1057,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f311]) ).

fof(f1058,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f395]) ).

fof(f1059,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f385]) ).

fof(f1060,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f355]) ).

fof(f1061,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f345]) ).

fof(f1062,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f315]) ).

fof(f1063,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f281]) ).

fof(f1064,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f280]) ).

fof(f1065,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f279]) ).

fof(f1066,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),empty_set),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f275]) ).

fof(f1067,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),cx),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f432,f274]) ).

fof(f1068,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f432]) ).

fof(f1069,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f336]) ).

fof(f1070,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f331]) ).

fof(f1071,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f316]) ).

fof(f1072,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f312]) ).

fof(f1073,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f308]) ).

fof(f1074,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f278]) ).

fof(f1075,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f277]) ).

fof(f1076,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f276]) ).

fof(f1077,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f338,f116]) ).

fof(f1078,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_sets(f2(ct,X0),f2(ct,X1))),union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f2(ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f165,f433]) ).

fof(f1079,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,intersection_of_sets(f2(ct,X0),cx)),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),cx),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f337]) ).

fof(f1080,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,intersection_of_sets(f2(ct,X0),empty_set)),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f332]) ).

fof(f1081,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,intersection_of_sets(empty_set,f2(ct,X0))),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f317]) ).

fof(f1082,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,intersection_of_sets(cx,f2(ct,X0))),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,f2(ct,X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f313]) ).

fof(f1083,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X0)
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f114]) ).

fof(f1084,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,union_of_members(X0)),f1(X0,f11(X1,union_of_members(X0))))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f113]) ).

fof(f1085,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,boundary(X0,X1,X2)),closure(X0,X1,X2))
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f213]) ).

fof(f1086,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X1,X2)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f212]) ).

fof(f1087,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X0,X1)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f179]) ).

fof(f1088,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f177]) ).

fof(f1092,plain,
    ( element_of_set(f19(cx,ct),cx)
    | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f220,f271]) ).

fof(f1093,definition,
    ( sQ0_spl
  <=> hausdorff(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f1094,plain,
    ( ~ sQ0_spl
    | hausdorff(cx,ct) ),
    inference(component_clause,[status(thm)],[f1093]) ).

fof(f1095,plain,
    ( sQ0_spl
    | ~ hausdorff(cx,ct) ),
    inference(component_clause,[status(thm)],[f1093]) ).

fof(f1096,definition,
    ( sQ1_spl
  <=> element_of_set(f19(cx,ct),cx) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f1097,plain,
    ( ~ sQ1_spl
    | element_of_set(f19(cx,ct),cx) ),
    inference(component_clause,[status(thm)],[f1096]) ).

fof(f1099,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f1092,f1093,f1096]) ).

fof(f1100,plain,
    ( element_of_set(f20(cx,ct),cx)
    | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f221,f271]) ).

fof(f1101,definition,
    ( sQ2_spl
  <=> element_of_set(f20(cx,ct),cx) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f1102,plain,
    ( ~ sQ2_spl
    | element_of_set(f20(cx,ct),cx) ),
    inference(component_clause,[status(thm)],[f1101]) ).

fof(f1104,plain,
    ( sQ2_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f1100,f1093,f1101]) ).

fof(f1105,plain,
    ( open_covering(f24(cx,ct),cx,ct)
    | compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f263,f271]) ).

fof(f1106,definition,
    ( sQ3_spl
  <=> compact_space(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f1107,plain,
    ( ~ sQ3_spl
    | compact_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f1106]) ).

fof(f1108,plain,
    ( sQ3_spl
    | ~ compact_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f1106]) ).

fof(f1109,definition,
    ( sQ4_spl
  <=> open_covering(f24(cx,ct),cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f1110,plain,
    ( ~ sQ4_spl
    | open_covering(f24(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f1109]) ).

fof(f1112,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1105,f1106,f1109]) ).

fof(f1113,plain,
    ( element_of_set(f7(cx,ct),cx)
    | basis(cx,ct) ),
    inference(resolution,[status(thm)],[f157,f298]) ).

fof(f1114,definition,
    ( sQ5_spl
  <=> basis(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f1115,plain,
    ( ~ sQ5_spl
    | basis(cx,ct) ),
    inference(component_clause,[status(thm)],[f1114]) ).

fof(f1116,plain,
    ( sQ5_spl
    | ~ basis(cx,ct) ),
    inference(component_clause,[status(thm)],[f1114]) ).

fof(f1117,definition,
    ( sQ6_spl
  <=> element_of_set(f7(cx,ct),cx) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f1118,plain,
    ( ~ sQ6_spl
    | element_of_set(f7(cx,ct),cx) ),
    inference(component_clause,[status(thm)],[f1117]) ).

fof(f1120,plain,
    ( sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1113,f1114,f1117]) ).

fof(f1121,plain,
    ( element_of_collection(f8(cx,ct),ct)
    | basis(cx,ct) ),
    inference(resolution,[status(thm)],[f158,f298]) ).

fof(f1122,definition,
    ( sQ7_spl
  <=> element_of_collection(f8(cx,ct),ct) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f1123,plain,
    ( ~ sQ7_spl
    | element_of_collection(f8(cx,ct),ct) ),
    inference(component_clause,[status(thm)],[f1122]) ).

fof(f1124,plain,
    ( sQ7_spl
    | ~ element_of_collection(f8(cx,ct),ct) ),
    inference(component_clause,[status(thm)],[f1122]) ).

fof(f1125,plain,
    ( sQ7_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1121,f1114,f1122]) ).

fof(f1126,plain,
    ( element_of_collection(f9(cx,ct),ct)
    | basis(cx,ct) ),
    inference(resolution,[status(thm)],[f159,f298]) ).

fof(f1127,definition,
    ( sQ8_spl
  <=> element_of_collection(f9(cx,ct),ct) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f1128,plain,
    ( ~ sQ8_spl
    | element_of_collection(f9(cx,ct),ct) ),
    inference(component_clause,[status(thm)],[f1127]) ).

fof(f1130,plain,
    ( sQ8_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1126,f1114,f1127]) ).

fof(f1131,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(X1,X0),top_of_basis(X2))
      | element_of_set(f11(X2,f2(X1,X0)),union_of_members(X1))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f309,f165]) ).

fof(f1132,plain,
    ( separation(f21(cx,ct),f22(cx,ct),cx,ct)
    | connected_space(cx,ct) ),
    inference(resolution,[status(thm)],[f244,f271]) ).

fof(f1133,definition,
    ( sQ9_spl
  <=> connected_space(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f1134,plain,
    ( ~ sQ9_spl
    | connected_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f1133]) ).

fof(f1136,definition,
    ( sQ10_spl
  <=> separation(f21(cx,ct),f22(cx,ct),cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f1139,plain,
    ( sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f1132,f1133,f1136]) ).

fof(f1140,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f432]) ).

fof(f1141,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f336]) ).

fof(f1142,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f331]) ).

fof(f1143,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f316]) ).

fof(f1144,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f312]) ).

fof(f1145,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f308]) ).

fof(f1146,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f278]) ).

fof(f1147,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f277]) ).

fof(f1148,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f276]) ).

fof(f1149,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,f1(X0,f11(X1,union_of_members(X0))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1083,f116]) ).

fof(f1150,plain,
    ! [X0,X1] :
      ( subset_sets(X1,f14(X1,cx,ct,X0))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f191,f271]) ).

fof(f1151,plain,
    ! [X0,X1] :
      ( neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | ~ subset_sets(X1,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f208,f271]) ).

fof(f1152,plain,
    ( element_of_set(f7(cx,ct),intersection_of_sets(f8(cx,ct),f9(cx,ct)))
    | basis(cx,ct) ),
    inference(resolution,[status(thm)],[f160,f298]) ).

fof(f1153,definition,
    ( sQ11_spl
  <=> element_of_set(f7(cx,ct),intersection_of_sets(f8(cx,ct),f9(cx,ct))) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f1154,plain,
    ( ~ sQ11_spl
    | element_of_set(f7(cx,ct),intersection_of_sets(f8(cx,ct),f9(cx,ct))) ),
    inference(component_clause,[status(thm)],[f1153]) ).

fof(f1156,plain,
    ( sQ11_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1152,f1114,f1153]) ).

fof(f1157,plain,
    ! [X0,X1] :
      ( closed(f14(X1,cx,ct,X0),cx,ct)
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f192,f271]) ).

fof(f1158,plain,
    ! [X0] :
      ( subset_sets(a,f14(a,cx,ct,X0))
      | element_of_set(X0,closure(a,cx,ct)) ),
    inference(resolution,[status(thm)],[f1150,f272]) ).

fof(f1159,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X1,f11(X2,f2(X1,X0))),X1)
      | element_of_collection(f2(X1,X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1131,f114]) ).

fof(f1160,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(X1,X0)),f1(X1,f11(X2,f2(X1,X0))))
      | element_of_collection(f2(X1,X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1131,f113]) ).

fof(f1161,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f432]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f336]) ).

fof(f1163,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f331]) ).

fof(f1164,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f316]) ).

fof(f1165,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f312]) ).

fof(f1166,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f308]) ).

fof(f1167,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f278]) ).

fof(f1168,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f277]) ).

fof(f1169,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f276]) ).

fof(f1170,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f116]) ).

fof(f1171,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f432]) ).

fof(f1172,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f336]) ).

fof(f1173,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f331]) ).

fof(f1174,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f316]) ).

fof(f1175,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f312]) ).

fof(f1176,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f308]) ).

fof(f1177,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f278]) ).

fof(f1178,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f277]) ).

fof(f1179,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f276]) ).

fof(f1180,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f116]) ).

fof(f1181,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f432]) ).

fof(f1182,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f336]) ).

fof(f1183,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f331]) ).

fof(f1184,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f316]) ).

fof(f1185,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f312]) ).

fof(f1186,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f308]) ).

fof(f1187,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f278]) ).

fof(f1188,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f277]) ).

fof(f1189,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f276]) ).

fof(f1190,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f116]) ).

fof(f1191,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f432]) ).

fof(f1192,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f336]) ).

fof(f1193,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f331]) ).

fof(f1194,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f316]) ).

fof(f1195,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f312]) ).

fof(f1196,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f308]) ).

fof(f1197,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f278]) ).

fof(f1198,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f277]) ).

fof(f1199,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f276]) ).

fof(f1200,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f116]) ).

fof(f1201,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f432]) ).

fof(f1202,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f336]) ).

fof(f1203,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f331]) ).

fof(f1204,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f316]) ).

fof(f1205,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f312]) ).

fof(f1206,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f308]) ).

fof(f1207,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f278]) ).

fof(f1208,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f277]) ).

fof(f1209,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f276]) ).

fof(f1210,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f116]) ).

fof(f1211,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f432]) ).

fof(f1212,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f336]) ).

fof(f1213,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f331]) ).

fof(f1214,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f316]) ).

fof(f1215,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f312]) ).

fof(f1216,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f308]) ).

fof(f1217,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f278]) ).

fof(f1218,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f277]) ).

fof(f1219,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f276]) ).

fof(f1220,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f116]) ).

fof(f1221,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f432]) ).

fof(f1222,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f336]) ).

fof(f1223,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f331]) ).

fof(f1224,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f316]) ).

fof(f1225,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f312]) ).

fof(f1226,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f308]) ).

fof(f1227,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f278]) ).

fof(f1228,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f277]) ).

fof(f1229,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f276]) ).

fof(f1230,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f116]) ).

fof(f1231,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f432]) ).

fof(f1232,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f336]) ).

fof(f1233,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f331]) ).

fof(f1234,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f316]) ).

fof(f1235,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f312]) ).

fof(f1236,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f308]) ).

fof(f1237,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f278]) ).

fof(f1238,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f277]) ).

fof(f1239,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f276]) ).

fof(f1240,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f116]) ).

fof(f1241,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f432]) ).

fof(f1242,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f336]) ).

fof(f1243,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f331]) ).

fof(f1244,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f316]) ).

fof(f1245,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f312]) ).

fof(f1246,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f308]) ).

fof(f1247,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f278]) ).

fof(f1248,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f277]) ).

fof(f1249,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f276]) ).

fof(f1250,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f116]) ).

fof(f1251,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f432]) ).

fof(f1252,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f336]) ).

fof(f1253,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f331]) ).

fof(f1254,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f316]) ).

fof(f1255,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f312]) ).

fof(f1256,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f308]) ).

fof(f1257,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f278]) ).

fof(f1258,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f277]) ).

fof(f1259,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f276]) ).

fof(f1260,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f116]) ).

fof(f1261,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f432]) ).

fof(f1262,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f336]) ).

fof(f1263,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f331]) ).

fof(f1264,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f316]) ).

fof(f1265,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f312]) ).

fof(f1266,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f308]) ).

fof(f1267,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f278]) ).

fof(f1268,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f277]) ).

fof(f1269,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f276]) ).

fof(f1270,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f116]) ).

fof(f1271,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f432]) ).

fof(f1272,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f336]) ).

fof(f1273,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f331]) ).

fof(f1274,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f316]) ).

fof(f1275,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f312]) ).

fof(f1276,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f308]) ).

fof(f1277,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f278]) ).

fof(f1278,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f277]) ).

fof(f1279,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f276]) ).

fof(f1280,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f116]) ).

fof(f1281,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f432]) ).

fof(f1282,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f336]) ).

fof(f1283,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f331]) ).

fof(f1284,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f316]) ).

fof(f1285,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f312]) ).

fof(f1286,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f308]) ).

fof(f1287,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f278]) ).

fof(f1288,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f277]) ).

fof(f1289,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f276]) ).

fof(f1290,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f116]) ).

fof(f1291,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f432]) ).

fof(f1292,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f336]) ).

fof(f1293,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f331]) ).

fof(f1294,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f316]) ).

fof(f1295,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f312]) ).

fof(f1296,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f308]) ).

fof(f1297,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f278]) ).

fof(f1298,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f277]) ).

fof(f1299,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f276]) ).

fof(f1300,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f116]) ).

fof(f1301,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f432]) ).

fof(f1302,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f336]) ).

fof(f1303,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f331]) ).

fof(f1304,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f316]) ).

fof(f1305,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f312]) ).

fof(f1306,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f308]) ).

fof(f1307,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f278]) ).

fof(f1308,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f277]) ).

fof(f1309,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f276]) ).

fof(f1310,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f116]) ).

fof(f1311,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f432]) ).

fof(f1312,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f336]) ).

fof(f1313,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f331]) ).

fof(f1314,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f316]) ).

fof(f1315,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f312]) ).

fof(f1316,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f308]) ).

fof(f1317,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f278]) ).

fof(f1318,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f277]) ).

fof(f1319,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f276]) ).

fof(f1320,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f116]) ).

fof(f1321,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f432]) ).

fof(f1322,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f336]) ).

fof(f1323,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f331]) ).

fof(f1324,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f316]) ).

fof(f1325,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f312]) ).

fof(f1326,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f308]) ).

fof(f1327,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f278]) ).

fof(f1328,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f277]) ).

fof(f1329,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f276]) ).

fof(f1330,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f116]) ).

fof(f1331,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f432]) ).

fof(f1332,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f336]) ).

fof(f1333,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f331]) ).

fof(f1334,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f316]) ).

fof(f1335,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f312]) ).

fof(f1336,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f308]) ).

fof(f1337,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f278]) ).

fof(f1338,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f277]) ).

fof(f1339,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f276]) ).

fof(f1340,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f116]) ).

fof(f1341,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f432]) ).

fof(f1342,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f336]) ).

fof(f1343,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f331]) ).

fof(f1344,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f316]) ).

fof(f1345,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f312]) ).

fof(f1346,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f308]) ).

fof(f1347,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f278]) ).

fof(f1348,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f277]) ).

fof(f1349,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f276]) ).

fof(f1350,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f116]) ).

fof(f1351,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f432]) ).

fof(f1352,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f336]) ).

fof(f1353,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f331]) ).

fof(f1354,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f316]) ).

fof(f1355,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f312]) ).

fof(f1356,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f308]) ).

fof(f1357,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f278]) ).

fof(f1358,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f277]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f276]) ).

fof(f1360,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f116]) ).

fof(f1361,plain,
    ! [X0] :
      ( neighborhood(f16(X0,a,cx,ct),X0,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f1151,f272]) ).

fof(f1362,plain,
    ! [X0] :
      ( element_of_set(X0,f16(X0,a,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f1361,f199]) ).

fof(f1364,definition,
    ! [X0] :
      ( sQ12_spl
    <=> limit_point(X0,a,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f1365,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f1364]) ).

fof(f1367,definition,
    ( sQ13_spl
  <=> topological_space(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f1369,plain,
    ( sQ13_spl
    | ~ topological_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f1367]) ).

fof(f1371,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f432]) ).

fof(f1372,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f336]) ).

fof(f1373,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f331]) ).

fof(f1374,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f316]) ).

fof(f1375,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f312]) ).

fof(f1376,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f308]) ).

fof(f1377,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f278]) ).

fof(f1378,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f277]) ).

fof(f1379,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,f2(ct,X0))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f276]) ).

fof(f1380,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X1,f11(X2,f2(X1,X0))))
      | element_of_set(X3,union_of_members(X1))
      | element_of_collection(f2(X1,X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1159,f116]) ).

fof(f1381,plain,
    ! [X0] :
      ( closed(f14(a,cx,ct,X0),cx,ct)
      | element_of_set(X0,closure(a,cx,ct)) ),
    inference(resolution,[status(thm)],[f1157,f272]) ).

fof(f1382,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f210,f165]) ).

fof(f1383,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f1159]) ).

fof(f1384,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f1083]) ).

fof(f1385,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f119]) ).

fof(f1386,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f581]) ).

fof(f1387,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f580]) ).

fof(f1388,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f573]) ).

fof(f1389,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f572]) ).

fof(f1390,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f583]) ).

fof(f1391,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f582]) ).

fof(f1392,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f531]) ).

fof(f1393,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f530]) ).

fof(f1394,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f523]) ).

fof(f1395,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f522]) ).

fof(f1396,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f533]) ).

fof(f1397,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f532]) ).

fof(f1398,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f457]) ).

fof(f1399,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f456]) ).

fof(f1400,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f449]) ).

fof(f1401,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f448]) ).

fof(f1402,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f459]) ).

fof(f1403,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f458]) ).

fof(f1404,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f419]) ).

fof(f1405,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f418]) ).

fof(f1406,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f411]) ).

fof(f1407,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f410]) ).

fof(f1408,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f421]) ).

fof(f1409,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f420]) ).

fof(f1410,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f318]) ).

fof(f1411,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f429]) ).

fof(f1412,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f333]) ).

fof(f1413,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f328]) ).

fof(f1414,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f323]) ).

fof(f1415,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f322]) ).

fof(f1416,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f325]) ).

fof(f1417,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f324]) ).

fof(f1418,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f338]) ).

fof(f1419,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f319]) ).

fof(f1420,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f321]) ).

fof(f1421,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f320]) ).

fof(f1422,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f327]) ).

fof(f1423,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f326]) ).

fof(f1424,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f1146]) ).

fof(f1425,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f598]) ).

fof(f1426,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f589]) ).

fof(f1427,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f546]) ).

fof(f1428,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f538]) ).

fof(f1429,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f491]) ).

fof(f1430,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f484]) ).

fof(f1431,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f477]) ).

fof(f1432,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f424]) ).

fof(f1433,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f430]) ).

fof(f1434,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f374]) ).

fof(f1435,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f369]) ).

fof(f1436,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f364]) ).

fof(f1437,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f359]) ).

fof(f1438,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f334]) ).

fof(f1439,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f329]) ).

fof(f1440,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f394]) ).

fof(f1441,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f384]) ).

fof(f1442,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f354]) ).

fof(f1443,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f344]) ).

fof(f1444,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f314]) ).

fof(f1445,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f389]) ).

fof(f1446,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f379]) ).

fof(f1447,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f349]) ).

fof(f1448,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f339]) ).

fof(f1449,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f310]) ).

fof(f1450,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f306]) ).

fof(f1451,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f288]) ).

fof(f1452,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f287]) ).

fof(f1453,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f1147]) ).

fof(f1454,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f307]) ).

fof(f1455,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f599]) ).

fof(f1456,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f590]) ).

fof(f1457,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f547]) ).

fof(f1458,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f539]) ).

fof(f1459,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f492]) ).

fof(f1460,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f485]) ).

fof(f1461,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f478]) ).

fof(f1462,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f425]) ).

fof(f1463,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f431]) ).

fof(f1464,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f375]) ).

fof(f1465,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f370]) ).

fof(f1466,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f365]) ).

fof(f1467,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f360]) ).

fof(f1468,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f335]) ).

fof(f1469,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f330]) ).

fof(f1470,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f390]) ).

fof(f1471,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f380]) ).

fof(f1472,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f350]) ).

fof(f1473,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f340]) ).

fof(f1474,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f311]) ).

fof(f1475,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f395]) ).

fof(f1476,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f385]) ).

fof(f1477,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f355]) ).

fof(f1478,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f345]) ).

fof(f1479,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f315]) ).

fof(f1480,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f281]) ).

fof(f1481,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f280]) ).

fof(f1482,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f279]) ).

fof(f1483,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f275]) ).

fof(f1484,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f341,f274]) ).

fof(f1485,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f341]) ).

fof(f1486,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f432]) ).

fof(f1487,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f336]) ).

fof(f1488,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f331]) ).

fof(f1489,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f316]) ).

fof(f1490,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f312]) ).

fof(f1491,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f308]) ).

fof(f1492,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f278]) ).

fof(f1493,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f277]) ).

fof(f1494,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f276]) ).

fof(f1495,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f116]) ).

fof(f1496,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f341]) ).

fof(f1497,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f432]) ).

fof(f1498,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f336]) ).

fof(f1499,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f331]) ).

fof(f1500,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f316]) ).

fof(f1501,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f312]) ).

fof(f1502,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f308]) ).

fof(f1503,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f278]) ).

fof(f1504,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f277]) ).

fof(f1505,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f276]) ).

fof(f1506,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f116]) ).

fof(f1507,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f1159]) ).

fof(f1508,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f1083]) ).

fof(f1509,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f119]) ).

fof(f1510,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f581]) ).

fof(f1511,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f580]) ).

fof(f1512,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f573]) ).

fof(f1513,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f572]) ).

fof(f1514,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f583]) ).

fof(f1515,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f582]) ).

fof(f1516,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f531]) ).

fof(f1517,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f530]) ).

fof(f1518,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f523]) ).

fof(f1519,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f522]) ).

fof(f1520,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f533]) ).

fof(f1521,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f532]) ).

fof(f1522,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f457]) ).

fof(f1523,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f456]) ).

fof(f1524,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f449]) ).

fof(f1525,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f448]) ).

fof(f1526,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f459]) ).

fof(f1527,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f458]) ).

fof(f1528,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f1484]) ).

fof(f1529,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f1483]) ).

fof(f1530,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f419]) ).

fof(f1531,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f418]) ).

fof(f1532,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f411]) ).

fof(f1533,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f410]) ).

fof(f1534,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f421]) ).

fof(f1535,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f420]) ).

fof(f1536,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f318]) ).

fof(f1537,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f429]) ).

fof(f1538,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f333]) ).

fof(f1539,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f328]) ).

fof(f1540,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f323]) ).

fof(f1541,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f322]) ).

fof(f1542,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f325]) ).

fof(f1543,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f324]) ).

fof(f1544,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f338]) ).

fof(f1545,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f319]) ).

fof(f1546,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f321]) ).

fof(f1547,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f320]) ).

fof(f1548,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f327]) ).

fof(f1549,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f326]) ).

fof(f1550,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f1146]) ).

fof(f1551,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f598]) ).

fof(f1552,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f589]) ).

fof(f1553,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f546]) ).

fof(f1554,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f538]) ).

fof(f1555,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f491]) ).

fof(f1556,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f484]) ).

fof(f1557,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f477]) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f424]) ).

fof(f1559,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f430]) ).

fof(f1560,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f374]) ).

fof(f1561,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f369]) ).

fof(f1562,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f364]) ).

fof(f1563,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f359]) ).

fof(f1564,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f334]) ).

fof(f1565,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f329]) ).

fof(f1566,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f394]) ).

fof(f1567,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f384]) ).

fof(f1568,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f354]) ).

fof(f1569,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f344]) ).

fof(f1570,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f314]) ).

fof(f1571,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f389]) ).

fof(f1572,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f379]) ).

fof(f1573,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f349]) ).

fof(f1574,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f339]) ).

fof(f1575,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f310]) ).

fof(f1576,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f306]) ).

fof(f1577,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f288]) ).

fof(f1578,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f287]) ).

fof(f1579,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f1147]) ).

fof(f1580,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f307]) ).

fof(f1581,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f599]) ).

fof(f1582,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f590]) ).

fof(f1583,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f547]) ).

fof(f1584,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f539]) ).

fof(f1585,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f492]) ).

fof(f1586,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f485]) ).

fof(f1587,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f478]) ).

fof(f1588,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f425]) ).

fof(f1589,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f431]) ).

fof(f1590,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f375]) ).

fof(f1591,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f370]) ).

fof(f1592,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f365]) ).

fof(f1593,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f360]) ).

fof(f1594,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f335]) ).

fof(f1595,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f330]) ).

fof(f1596,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f390]) ).

fof(f1597,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f380]) ).

fof(f1598,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f350]) ).

fof(f1599,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f340]) ).

fof(f1600,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f311]) ).

fof(f1601,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f395]) ).

fof(f1602,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f385]) ).

fof(f1603,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f355]) ).

fof(f1604,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f345]) ).

fof(f1605,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f315]) ).

fof(f1606,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f281]) ).

fof(f1607,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f280]) ).

fof(f1608,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f279]) ).

fof(f1609,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f275]) ).

fof(f1610,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f346,f274]) ).

fof(f1611,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f346]) ).

fof(f1612,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f341]) ).

fof(f1613,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f432]) ).

fof(f1614,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f336]) ).

fof(f1615,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f331]) ).

fof(f1616,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f316]) ).

fof(f1617,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f312]) ).

fof(f1618,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f308]) ).

fof(f1619,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f278]) ).

fof(f1620,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f277]) ).

fof(f1621,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f276]) ).

fof(f1622,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f116]) ).

fof(f1623,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f346]) ).

fof(f1624,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f341]) ).

fof(f1625,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f432]) ).

fof(f1626,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f336]) ).

fof(f1627,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f331]) ).

fof(f1628,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f316]) ).

fof(f1629,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f312]) ).

fof(f1630,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f308]) ).

fof(f1631,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f278]) ).

fof(f1632,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f277]) ).

fof(f1633,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f276]) ).

fof(f1634,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f116]) ).

fof(f1635,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1159]) ).

fof(f1636,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1083]) ).

fof(f1637,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f119]) ).

fof(f1638,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f581]) ).

fof(f1639,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f580]) ).

fof(f1640,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f573]) ).

fof(f1641,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f572]) ).

fof(f1642,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f583]) ).

fof(f1643,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f582]) ).

fof(f1644,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f531]) ).

fof(f1645,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f530]) ).

fof(f1646,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f523]) ).

fof(f1647,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f522]) ).

fof(f1648,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f533]) ).

fof(f1649,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f532]) ).

fof(f1650,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1610]) ).

fof(f1651,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1609]) ).

fof(f1652,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f457]) ).

fof(f1653,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f456]) ).

fof(f1654,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f449]) ).

fof(f1655,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f448]) ).

fof(f1656,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f459]) ).

fof(f1657,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f458]) ).

fof(f1658,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1484]) ).

fof(f1659,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1483]) ).

fof(f1660,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f419]) ).

fof(f1661,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f418]) ).

fof(f1662,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f411]) ).

fof(f1663,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f410]) ).

fof(f1664,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f421]) ).

fof(f1665,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f420]) ).

fof(f1666,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f318]) ).

fof(f1667,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f429]) ).

fof(f1668,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f333]) ).

fof(f1669,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f328]) ).

fof(f1670,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f323]) ).

fof(f1671,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f322]) ).

fof(f1672,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f325]) ).

fof(f1673,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f324]) ).

fof(f1674,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f338]) ).

fof(f1675,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f319]) ).

fof(f1676,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f321]) ).

fof(f1677,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f320]) ).

fof(f1678,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f327]) ).

fof(f1679,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f326]) ).

fof(f1680,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1146]) ).

fof(f1681,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f598]) ).

fof(f1682,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f589]) ).

fof(f1683,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f546]) ).

fof(f1684,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f538]) ).

fof(f1685,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f491]) ).

fof(f1686,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f484]) ).

fof(f1687,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f477]) ).

fof(f1688,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f424]) ).

fof(f1689,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f430]) ).

fof(f1690,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f374]) ).

fof(f1691,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f369]) ).

fof(f1692,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f364]) ).

fof(f1693,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f359]) ).

fof(f1694,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f334]) ).

fof(f1695,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f329]) ).

fof(f1696,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f394]) ).

fof(f1697,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f384]) ).

fof(f1698,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f354]) ).

fof(f1699,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f344]) ).

fof(f1700,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f314]) ).

fof(f1701,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f389]) ).

fof(f1702,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f379]) ).

fof(f1703,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f349]) ).

fof(f1704,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f339]) ).

fof(f1705,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f310]) ).

fof(f1706,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f306]) ).

fof(f1707,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f288]) ).

fof(f1708,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f287]) ).

fof(f1709,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f1147]) ).

fof(f1710,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f307]) ).

fof(f1711,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f599]) ).

fof(f1712,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f590]) ).

fof(f1713,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f547]) ).

fof(f1714,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f539]) ).

fof(f1715,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f492]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f485]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f478]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f425]) ).

fof(f1719,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f431]) ).

fof(f1720,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f375]) ).

fof(f1721,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f370]) ).

fof(f1722,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f365]) ).

fof(f1723,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f360]) ).

fof(f1724,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f335]) ).

fof(f1725,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f330]) ).

fof(f1726,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f390]) ).

fof(f1727,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f380]) ).

fof(f1728,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f350]) ).

fof(f1729,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f340]) ).

fof(f1730,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f311]) ).

fof(f1731,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f395]) ).

fof(f1732,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f385]) ).

fof(f1733,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f355]) ).

fof(f1734,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f345]) ).

fof(f1735,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f315]) ).

fof(f1736,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f281]) ).

fof(f1737,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f280]) ).

fof(f1738,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f279]) ).

fof(f1739,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f275]) ).

fof(f1740,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f351,f274]) ).

fof(f1741,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f351]) ).

fof(f1742,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f346]) ).

fof(f1743,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f341]) ).

fof(f1744,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f432]) ).

fof(f1745,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f336]) ).

fof(f1746,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f331]) ).

fof(f1747,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f316]) ).

fof(f1748,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f312]) ).

fof(f1749,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f308]) ).

fof(f1750,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f278]) ).

fof(f1751,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f277]) ).

fof(f1752,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f276]) ).

fof(f1753,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f116]) ).

fof(f1754,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f351]) ).

fof(f1755,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f346]) ).

fof(f1756,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f341]) ).

fof(f1757,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f432]) ).

fof(f1758,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f336]) ).

fof(f1759,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f331]) ).

fof(f1760,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f316]) ).

fof(f1761,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f312]) ).

fof(f1762,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f308]) ).

fof(f1763,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f278]) ).

fof(f1764,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f277]) ).

fof(f1765,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f276]) ).

fof(f1766,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f116]) ).

fof(f1767,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1159]) ).

fof(f1768,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1083]) ).

fof(f1769,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f119]) ).

fof(f1770,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f581]) ).

fof(f1771,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f580]) ).

fof(f1772,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f573]) ).

fof(f1773,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f572]) ).

fof(f1774,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f583]) ).

fof(f1775,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f582]) ).

fof(f1776,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f531]) ).

fof(f1777,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f530]) ).

fof(f1778,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f523]) ).

fof(f1779,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f522]) ).

fof(f1780,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f533]) ).

fof(f1781,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f532]) ).

fof(f1782,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1610]) ).

fof(f1783,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1609]) ).

fof(f1784,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f457]) ).

fof(f1785,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f456]) ).

fof(f1786,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f449]) ).

fof(f1787,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f448]) ).

fof(f1788,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f459]) ).

fof(f1789,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f458]) ).

fof(f1790,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1740]) ).

fof(f1791,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1739]) ).

fof(f1792,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1484]) ).

fof(f1793,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1483]) ).

fof(f1794,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f419]) ).

fof(f1795,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f418]) ).

fof(f1796,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f411]) ).

fof(f1797,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f410]) ).

fof(f1798,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f421]) ).

fof(f1799,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f420]) ).

fof(f1800,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f318]) ).

fof(f1801,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f429]) ).

fof(f1802,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f333]) ).

fof(f1803,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f328]) ).

fof(f1804,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f323]) ).

fof(f1805,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f322]) ).

fof(f1806,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f325]) ).

fof(f1807,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f324]) ).

fof(f1808,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f338]) ).

fof(f1809,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f319]) ).

fof(f1810,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f321]) ).

fof(f1811,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f320]) ).

fof(f1812,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f327]) ).

fof(f1813,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f326]) ).

fof(f1814,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1146]) ).

fof(f1815,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f598]) ).

fof(f1816,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f589]) ).

fof(f1817,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f546]) ).

fof(f1818,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f538]) ).

fof(f1819,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f491]) ).

fof(f1820,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f484]) ).

fof(f1821,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f477]) ).

fof(f1822,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f424]) ).

fof(f1823,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f430]) ).

fof(f1824,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f374]) ).

fof(f1825,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f369]) ).

fof(f1826,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f364]) ).

fof(f1827,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f359]) ).

fof(f1828,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f334]) ).

fof(f1829,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f329]) ).

fof(f1830,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f394]) ).

fof(f1831,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f384]) ).

fof(f1832,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f354]) ).

fof(f1833,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f344]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f314]) ).

fof(f1835,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f389]) ).

fof(f1836,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f379]) ).

fof(f1837,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f349]) ).

fof(f1838,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f339]) ).

fof(f1839,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f310]) ).

fof(f1840,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f306]) ).

fof(f1841,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f288]) ).

fof(f1842,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f287]) ).

fof(f1843,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f1147]) ).

fof(f1844,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f307]) ).

fof(f1845,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f599]) ).

fof(f1846,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f590]) ).

fof(f1847,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f547]) ).

fof(f1848,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f539]) ).

fof(f1849,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f492]) ).

fof(f1850,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f485]) ).

fof(f1851,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f478]) ).

fof(f1852,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f425]) ).

fof(f1853,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f431]) ).

fof(f1854,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f375]) ).

fof(f1855,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f370]) ).

fof(f1856,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f365]) ).

fof(f1857,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f360]) ).

fof(f1858,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f335]) ).

fof(f1859,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f330]) ).

fof(f1860,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f390]) ).

fof(f1861,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f380]) ).

fof(f1862,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f350]) ).

fof(f1863,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f340]) ).

fof(f1864,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f311]) ).

fof(f1865,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f395]) ).

fof(f1866,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f385]) ).

fof(f1867,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f355]) ).

fof(f1868,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f345]) ).

fof(f1869,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f315]) ).

fof(f1870,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f281]) ).

fof(f1871,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f280]) ).

fof(f1872,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f279]) ).

fof(f1873,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f275]) ).

fof(f1874,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f356,f274]) ).

fof(f1875,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f356]) ).

fof(f1876,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f351]) ).

fof(f1877,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f346]) ).

fof(f1878,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f341]) ).

fof(f1879,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f432]) ).

fof(f1880,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f336]) ).

fof(f1881,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f331]) ).

fof(f1882,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f316]) ).

fof(f1883,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f312]) ).

fof(f1884,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f308]) ).

fof(f1885,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f278]) ).

fof(f1886,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f277]) ).

fof(f1887,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f276]) ).

fof(f1888,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f116]) ).

fof(f1889,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f356]) ).

fof(f1890,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f351]) ).

fof(f1891,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f346]) ).

fof(f1892,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f341]) ).

fof(f1893,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f432]) ).

fof(f1894,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f336]) ).

fof(f1895,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f331]) ).

fof(f1896,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f316]) ).

fof(f1897,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f312]) ).

fof(f1898,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f308]) ).

fof(f1899,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f278]) ).

fof(f1900,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f277]) ).

fof(f1901,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f276]) ).

fof(f1902,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f116]) ).

fof(f1903,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1159]) ).

fof(f1904,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1083]) ).

fof(f1905,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f119]) ).

fof(f1906,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f581]) ).

fof(f1907,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f580]) ).

fof(f1908,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f573]) ).

fof(f1909,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f572]) ).

fof(f1910,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f583]) ).

fof(f1911,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f582]) ).

fof(f1912,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f531]) ).

fof(f1913,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f530]) ).

fof(f1914,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f523]) ).

fof(f1915,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f522]) ).

fof(f1916,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f533]) ).

fof(f1917,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f532]) ).

fof(f1918,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1874]) ).

fof(f1919,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1873]) ).

fof(f1920,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1610]) ).

fof(f1921,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1609]) ).

fof(f1922,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f457]) ).

fof(f1923,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f456]) ).

fof(f1924,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f449]) ).

fof(f1925,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f448]) ).

fof(f1926,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f459]) ).

fof(f1927,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f458]) ).

fof(f1928,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1740]) ).

fof(f1929,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1739]) ).

fof(f1930,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1484]) ).

fof(f1931,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1483]) ).

fof(f1932,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f419]) ).

fof(f1933,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f418]) ).

fof(f1934,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f411]) ).

fof(f1935,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f410]) ).

fof(f1936,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f421]) ).

fof(f1937,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f420]) ).

fof(f1938,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f318]) ).

fof(f1939,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f429]) ).

fof(f1940,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f333]) ).

fof(f1941,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f328]) ).

fof(f1942,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f323]) ).

fof(f1943,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f322]) ).

fof(f1944,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f325]) ).

fof(f1945,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f324]) ).

fof(f1946,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f338]) ).

fof(f1947,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f319]) ).

fof(f1948,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f321]) ).

fof(f1949,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f320]) ).

fof(f1950,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f327]) ).

fof(f1951,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f326]) ).

fof(f1952,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1146]) ).

fof(f1953,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f598]) ).

fof(f1954,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f589]) ).

fof(f1955,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f546]) ).

fof(f1956,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f538]) ).

fof(f1957,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f491]) ).

fof(f1958,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f484]) ).

fof(f1959,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f477]) ).

fof(f1960,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f424]) ).

fof(f1961,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f430]) ).

fof(f1962,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f374]) ).

fof(f1963,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f369]) ).

fof(f1964,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f364]) ).

fof(f1965,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f359]) ).

fof(f1966,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f334]) ).

fof(f1967,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f329]) ).

fof(f1968,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f394]) ).

fof(f1969,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f384]) ).

fof(f1970,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f354]) ).

fof(f1971,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f344]) ).

fof(f1972,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f314]) ).

fof(f1973,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f389]) ).

fof(f1974,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f379]) ).

fof(f1975,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f349]) ).

fof(f1976,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f339]) ).

fof(f1977,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f310]) ).

fof(f1978,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f306]) ).

fof(f1979,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f288]) ).

fof(f1980,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f287]) ).

fof(f1981,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f1147]) ).

fof(f1982,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f307]) ).

fof(f1983,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f599]) ).

fof(f1984,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f590]) ).

fof(f1985,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f547]) ).

fof(f1986,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f539]) ).

fof(f1987,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f492]) ).

fof(f1988,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f485]) ).

fof(f1989,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f478]) ).

fof(f1990,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f425]) ).

fof(f1991,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f431]) ).

fof(f1992,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f375]) ).

fof(f1993,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f370]) ).

fof(f1994,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f365]) ).

fof(f1995,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f360]) ).

fof(f1996,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f335]) ).

fof(f1997,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f330]) ).

fof(f1998,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f390]) ).

fof(f1999,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f380]) ).

fof(f2000,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f350]) ).

fof(f2001,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f340]) ).

fof(f2002,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f311]) ).

fof(f2003,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f395]) ).

fof(f2004,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f385]) ).

fof(f2005,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f355]) ).

fof(f2006,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f345]) ).

fof(f2007,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f315]) ).

fof(f2008,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f281]) ).

fof(f2009,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f280]) ).

fof(f2010,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f279]) ).

fof(f2011,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f275]) ).

fof(f2012,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f361,f274]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f361]) ).

fof(f2014,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f356]) ).

fof(f2015,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f351]) ).

fof(f2016,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f346]) ).

fof(f2017,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f341]) ).

fof(f2018,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f432]) ).

fof(f2019,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f336]) ).

fof(f2020,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f331]) ).

fof(f2021,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f316]) ).

fof(f2022,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f312]) ).

fof(f2023,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f308]) ).

fof(f2024,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f278]) ).

fof(f2025,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f277]) ).

fof(f2026,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f276]) ).

fof(f2027,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f116]) ).

fof(f2028,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f361]) ).

fof(f2029,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f356]) ).

fof(f2030,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f351]) ).

fof(f2031,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f346]) ).

fof(f2032,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f341]) ).

fof(f2033,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f432]) ).

fof(f2034,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f336]) ).

fof(f2035,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f331]) ).

fof(f2036,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f316]) ).

fof(f2037,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f312]) ).

fof(f2038,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f308]) ).

fof(f2039,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f278]) ).

fof(f2040,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f277]) ).

fof(f2041,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f276]) ).

fof(f2042,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f116]) ).

fof(f2043,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1159]) ).

fof(f2044,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1083]) ).

fof(f2045,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f119]) ).

fof(f2046,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f2012]) ).

fof(f2047,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f2011]) ).

fof(f2048,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f581]) ).

fof(f2049,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f580]) ).

fof(f2050,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f573]) ).

fof(f2051,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f572]) ).

fof(f2052,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f583]) ).

fof(f2053,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f582]) ).

fof(f2054,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f531]) ).

fof(f2055,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f530]) ).

fof(f2056,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f523]) ).

fof(f2057,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f522]) ).

fof(f2058,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f533]) ).

fof(f2059,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f532]) ).

fof(f2060,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1874]) ).

fof(f2061,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1873]) ).

fof(f2062,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1610]) ).

fof(f2063,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1609]) ).

fof(f2064,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f457]) ).

fof(f2065,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f456]) ).

fof(f2066,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f449]) ).

fof(f2067,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f448]) ).

fof(f2068,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f459]) ).

fof(f2069,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f458]) ).

fof(f2070,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1740]) ).

fof(f2071,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1739]) ).

fof(f2072,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1484]) ).

fof(f2073,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1483]) ).

fof(f2074,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f419]) ).

fof(f2075,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f418]) ).

fof(f2076,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f411]) ).

fof(f2077,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f410]) ).

fof(f2078,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f421]) ).

fof(f2079,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f420]) ).

fof(f2080,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f318]) ).

fof(f2081,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f429]) ).

fof(f2082,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f333]) ).

fof(f2083,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f328]) ).

fof(f2084,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f323]) ).

fof(f2085,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f322]) ).

fof(f2086,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f325]) ).

fof(f2087,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f324]) ).

fof(f2088,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f338]) ).

fof(f2089,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f319]) ).

fof(f2090,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f321]) ).

fof(f2091,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f320]) ).

fof(f2092,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f327]) ).

fof(f2093,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f326]) ).

fof(f2094,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1146]) ).

fof(f2095,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f598]) ).

fof(f2096,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f589]) ).

fof(f2097,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f546]) ).

fof(f2098,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f538]) ).

fof(f2099,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f491]) ).

fof(f2100,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f484]) ).

fof(f2101,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f477]) ).

fof(f2102,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f424]) ).

fof(f2103,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f430]) ).

fof(f2104,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f374]) ).

fof(f2105,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f369]) ).

fof(f2106,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f364]) ).

fof(f2107,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f359]) ).

fof(f2108,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f334]) ).

fof(f2109,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f329]) ).

fof(f2110,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f394]) ).

fof(f2111,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f384]) ).

fof(f2112,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f354]) ).

fof(f2113,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f344]) ).

fof(f2114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f314]) ).

fof(f2115,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f389]) ).

fof(f2116,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f379]) ).

fof(f2117,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f349]) ).

fof(f2118,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f339]) ).

fof(f2119,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f310]) ).

fof(f2120,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f306]) ).

fof(f2121,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f288]) ).

fof(f2122,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f287]) ).

fof(f2123,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f1147]) ).

fof(f2124,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f307]) ).

fof(f2125,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f599]) ).

fof(f2126,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f590]) ).

fof(f2127,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f547]) ).

fof(f2128,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f539]) ).

fof(f2129,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f492]) ).

fof(f2130,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f485]) ).

fof(f2131,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f478]) ).

fof(f2132,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f425]) ).

fof(f2133,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f431]) ).

fof(f2134,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f375]) ).

fof(f2135,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f370]) ).

fof(f2136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f365]) ).

fof(f2137,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f360]) ).

fof(f2138,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f335]) ).

fof(f2139,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f330]) ).

fof(f2140,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f390]) ).

fof(f2141,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f380]) ).

fof(f2142,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f350]) ).

fof(f2143,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f340]) ).

fof(f2144,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f311]) ).

fof(f2145,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f395]) ).

fof(f2146,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f385]) ).

fof(f2147,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f355]) ).

fof(f2148,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f345]) ).

fof(f2149,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f315]) ).

fof(f2150,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f281]) ).

fof(f2151,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f280]) ).

fof(f2152,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f279]) ).

fof(f2153,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f275]) ).

fof(f2154,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f366,f274]) ).

fof(f2155,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f366]) ).

fof(f2156,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f361]) ).

fof(f2157,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f356]) ).

fof(f2158,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f351]) ).

fof(f2159,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f346]) ).

fof(f2160,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f341]) ).

fof(f2161,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f432]) ).

fof(f2162,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f336]) ).

fof(f2163,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f331]) ).

fof(f2164,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f316]) ).

fof(f2165,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f312]) ).

fof(f2166,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f308]) ).

fof(f2167,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f278]) ).

fof(f2168,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f277]) ).

fof(f2169,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f276]) ).

fof(f2170,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f116]) ).

fof(f2171,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f366]) ).

fof(f2172,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f361]) ).

fof(f2173,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f356]) ).

fof(f2174,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f351]) ).

fof(f2175,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f346]) ).

fof(f2176,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f341]) ).

fof(f2177,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f432]) ).

fof(f2178,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f336]) ).

fof(f2179,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f331]) ).

fof(f2180,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f316]) ).

fof(f2181,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f312]) ).

fof(f2182,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f308]) ).

fof(f2183,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f278]) ).

fof(f2184,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f277]) ).

fof(f2185,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f276]) ).

fof(f2186,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f116]) ).

fof(f2187,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1159]) ).

fof(f2188,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1083]) ).

fof(f2189,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f119]) ).

fof(f2190,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f2154]) ).

fof(f2191,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f2153]) ).

fof(f2192,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f2012]) ).

fof(f2193,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f2011]) ).

fof(f2194,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f581]) ).

fof(f2195,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f580]) ).

fof(f2196,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f573]) ).

fof(f2197,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f572]) ).

fof(f2198,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f583]) ).

fof(f2199,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f582]) ).

fof(f2200,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f531]) ).

fof(f2201,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f530]) ).

fof(f2202,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f523]) ).

fof(f2203,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f522]) ).

fof(f2204,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f533]) ).

fof(f2205,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f532]) ).

fof(f2206,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1874]) ).

fof(f2207,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1873]) ).

fof(f2208,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1610]) ).

fof(f2209,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1609]) ).

fof(f2210,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f457]) ).

fof(f2211,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f456]) ).

fof(f2212,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f449]) ).

fof(f2213,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f448]) ).

fof(f2214,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f459]) ).

fof(f2215,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f458]) ).

fof(f2216,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1740]) ).

fof(f2217,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1739]) ).

fof(f2218,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1484]) ).

fof(f2219,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1483]) ).

fof(f2220,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f419]) ).

fof(f2221,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f418]) ).

fof(f2222,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f411]) ).

fof(f2223,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f410]) ).

fof(f2224,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f421]) ).

fof(f2225,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f420]) ).

fof(f2226,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f318]) ).

fof(f2227,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f429]) ).

fof(f2228,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f333]) ).

fof(f2229,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f328]) ).

fof(f2230,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f323]) ).

fof(f2231,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f322]) ).

fof(f2232,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f325]) ).

fof(f2233,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f324]) ).

fof(f2234,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f338]) ).

fof(f2235,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f319]) ).

fof(f2236,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f321]) ).

fof(f2237,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f320]) ).

fof(f2238,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f327]) ).

fof(f2239,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f326]) ).

fof(f2240,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1146]) ).

fof(f2241,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f598]) ).

fof(f2242,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f589]) ).

fof(f2243,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f546]) ).

fof(f2244,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f538]) ).

fof(f2245,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f491]) ).

fof(f2246,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f484]) ).

fof(f2247,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f477]) ).

fof(f2248,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f424]) ).

fof(f2249,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f430]) ).

fof(f2250,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f374]) ).

fof(f2251,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f369]) ).

fof(f2252,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f364]) ).

fof(f2253,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f359]) ).

fof(f2254,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f334]) ).

fof(f2255,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f329]) ).

fof(f2256,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f394]) ).

fof(f2257,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f384]) ).

fof(f2258,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f354]) ).

fof(f2259,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f344]) ).

fof(f2260,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f314]) ).

fof(f2261,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f389]) ).

fof(f2262,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f379]) ).

fof(f2263,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f349]) ).

fof(f2264,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f339]) ).

fof(f2265,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f310]) ).

fof(f2266,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f306]) ).

fof(f2267,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f288]) ).

fof(f2268,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f287]) ).

fof(f2269,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f1147]) ).

fof(f2270,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f307]) ).

fof(f2271,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f599]) ).

fof(f2272,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f590]) ).

fof(f2273,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f547]) ).

fof(f2274,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f539]) ).

fof(f2275,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f492]) ).

fof(f2276,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f485]) ).

fof(f2277,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f478]) ).

fof(f2278,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f425]) ).

fof(f2279,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f431]) ).

fof(f2280,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f375]) ).

fof(f2281,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f370]) ).

fof(f2282,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f365]) ).

fof(f2283,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f360]) ).

fof(f2284,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f335]) ).

fof(f2285,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f330]) ).

fof(f2286,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f390]) ).

fof(f2287,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f380]) ).

fof(f2288,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f350]) ).

fof(f2289,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f340]) ).

fof(f2290,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f311]) ).

fof(f2291,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f395]) ).

fof(f2292,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f385]) ).

fof(f2293,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f355]) ).

fof(f2294,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f345]) ).

fof(f2295,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f315]) ).

fof(f2296,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f281]) ).

fof(f2297,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f280]) ).

fof(f2298,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f279]) ).

fof(f2299,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f275]) ).

fof(f2300,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f371,f274]) ).

fof(f2301,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f371]) ).

fof(f2302,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f366]) ).

fof(f2303,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f361]) ).

fof(f2304,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f356]) ).

fof(f2305,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f351]) ).

fof(f2306,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f346]) ).

fof(f2307,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f341]) ).

fof(f2308,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f432]) ).

fof(f2309,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f336]) ).

fof(f2310,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f331]) ).

fof(f2311,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f316]) ).

fof(f2312,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f312]) ).

fof(f2313,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f308]) ).

fof(f2314,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f278]) ).

fof(f2315,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f277]) ).

fof(f2316,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f276]) ).

fof(f2317,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f116]) ).

fof(f2319,definition,
    ( sQ14_spl
  <=> element_of_collection(empty_set,ct) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f2321,plain,
    ( sQ14_spl
    | ~ element_of_collection(empty_set,ct) ),
    inference(component_clause,[status(thm)],[f2319]) ).

fof(f2322,definition,
    ( sQ15_spl
  <=> element_of_collection(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f2324,plain,
    ( sQ15_spl
    | ~ element_of_collection(cx,ct) ),
    inference(component_clause,[status(thm)],[f2322]) ).

fof(f2328,definition,
    ( sQ17_spl
  <=> subset_collections(f5(cx,ct),ct) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f2329,plain,
    ( ~ sQ17_spl
    | subset_collections(f5(cx,ct),ct) ),
    inference(component_clause,[status(thm)],[f2328]) ).

fof(f2337,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f16(X0,X1,cx,ct),X1),top_of_basis(X2))
      | eq_p(f11(X2,intersection_of_sets(f16(X0,X1,cx,ct),X1)),X0)
      | ~ subset_sets(X1,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f1382,f271]) ).

fof(f2338,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1159]) ).

fof(f2339,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1083]) ).

fof(f2340,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f119]) ).

fof(f2341,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f2299]) ).

fof(f2342,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f2154]) ).

fof(f2343,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f2153]) ).

fof(f2344,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f2012]) ).

fof(f2345,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f2011]) ).

fof(f2346,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f581]) ).

fof(f2347,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f580]) ).

fof(f2348,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f573]) ).

fof(f2349,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f572]) ).

fof(f2350,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f583]) ).

fof(f2351,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f582]) ).

fof(f2352,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f531]) ).

fof(f2353,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f530]) ).

fof(f2354,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f523]) ).

fof(f2355,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f522]) ).

fof(f2356,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f533]) ).

fof(f2357,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f532]) ).

fof(f2358,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1874]) ).

fof(f2359,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1873]) ).

fof(f2360,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1610]) ).

fof(f2361,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1609]) ).

fof(f2362,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f457]) ).

fof(f2363,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f456]) ).

fof(f2364,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f449]) ).

fof(f2365,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f448]) ).

fof(f2366,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f459]) ).

fof(f2367,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f458]) ).

fof(f2368,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1740]) ).

fof(f2369,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1739]) ).

fof(f2370,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1484]) ).

fof(f2371,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1483]) ).

fof(f2372,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f419]) ).

fof(f2373,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f418]) ).

fof(f2374,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f411]) ).

fof(f2375,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f410]) ).

fof(f2376,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f421]) ).

fof(f2377,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f420]) ).

fof(f2378,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f318]) ).

fof(f2379,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f429]) ).

fof(f2380,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f333]) ).

fof(f2381,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f328]) ).

fof(f2382,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f323]) ).

fof(f2383,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f322]) ).

fof(f2384,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f325]) ).

fof(f2385,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f324]) ).

fof(f2386,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f338]) ).

fof(f2387,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f319]) ).

fof(f2388,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f321]) ).

fof(f2389,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f320]) ).

fof(f2390,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f327]) ).

fof(f2391,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f326]) ).

fof(f2392,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1146]) ).

fof(f2393,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f598]) ).

fof(f2394,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f589]) ).

fof(f2395,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f546]) ).

fof(f2396,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f538]) ).

fof(f2397,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f491]) ).

fof(f2398,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f484]) ).

fof(f2399,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f477]) ).

fof(f2400,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f424]) ).

fof(f2401,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f430]) ).

fof(f2402,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f374]) ).

fof(f2403,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f369]) ).

fof(f2404,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f364]) ).

fof(f2405,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f359]) ).

fof(f2406,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f334]) ).

fof(f2407,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f329]) ).

fof(f2408,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f394]) ).

fof(f2409,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f384]) ).

fof(f2410,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f354]) ).

fof(f2411,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f344]) ).

fof(f2412,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f314]) ).

fof(f2413,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f389]) ).

fof(f2414,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f379]) ).

fof(f2415,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f349]) ).

fof(f2416,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f339]) ).

fof(f2417,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f310]) ).

fof(f2418,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f306]) ).

fof(f2419,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f288]) ).

fof(f2420,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f287]) ).

fof(f2421,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f1147]) ).

fof(f2422,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f307]) ).

fof(f2423,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f599]) ).

fof(f2424,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f590]) ).

fof(f2425,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f547]) ).

fof(f2426,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f539]) ).

fof(f2427,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f492]) ).

fof(f2428,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f485]) ).

fof(f2429,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f478]) ).

fof(f2430,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f425]) ).

fof(f2431,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f431]) ).

fof(f2432,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f375]) ).

fof(f2433,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f370]) ).

fof(f2434,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f365]) ).

fof(f2435,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f360]) ).

fof(f2436,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f335]) ).

fof(f2437,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f330]) ).

fof(f2438,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f390]) ).

fof(f2439,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f380]) ).

fof(f2440,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f350]) ).

fof(f2441,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f340]) ).

fof(f2442,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f311]) ).

fof(f2443,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f395]) ).

fof(f2444,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f385]) ).

fof(f2445,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f355]) ).

fof(f2446,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f345]) ).

fof(f2447,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f315]) ).

fof(f2448,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f281]) ).

fof(f2449,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f280]) ).

fof(f2450,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f279]) ).

fof(f2451,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f275]) ).

fof(f2452,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f274]) ).

fof(f2454,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1149,f165]) ).

fof(f2456,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),a),top_of_basis(X1))
      | eq_p(f11(X1,intersection_of_sets(f16(X0,a,cx,ct),a)),X0)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f2337,f272]) ).

fof(f2457,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f1148]) ).

fof(f2458,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f371]) ).

fof(f2459,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f366]) ).

fof(f2460,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f361]) ).

fof(f2461,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f356]) ).

fof(f2462,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f351]) ).

fof(f2463,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f346]) ).

fof(f2464,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f341]) ).

fof(f2465,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f432]) ).

fof(f2466,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f336]) ).

fof(f2467,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f331]) ).

fof(f2468,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f316]) ).

fof(f2469,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f312]) ).

fof(f2470,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f308]) ).

fof(f2471,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f278]) ).

fof(f2472,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f277]) ).

fof(f2473,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f276]) ).

fof(f2474,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f116]) ).

fof(f2475,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | disjoint_s(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1))
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1094,f219]) ).

fof(f2476,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f18(cx,ct,X0,X1),X1,cx,ct)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1094,f218]) ).

fof(f2477,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f17(cx,ct,X0,X1),X0,cx,ct)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1094,f217]) ).

fof(f2482,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_set(f11(X0,empty_set),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f304,f165]) ).

fof(f2483,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_set(f11(X0,cx),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f305,f165]) ).

fof(f2484,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f282,f1159]) ).

fof(f2485,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f282,f1083]) ).

fof(f2486,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f282,f119]) ).

fof(f2487,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2299]) ).

fof(f2488,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f2154]) ).

fof(f2489,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2153]) ).

fof(f2490,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f2012]) ).

fof(f2491,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2011]) ).

fof(f2492,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f581]) ).

fof(f2493,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f580]) ).

fof(f2494,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f573]) ).

fof(f2495,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f572]) ).

fof(f2496,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f583]) ).

fof(f2497,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f582]) ).

fof(f2498,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f531]) ).

fof(f2499,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f530]) ).

fof(f2500,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f523]) ).

fof(f2501,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f522]) ).

fof(f2502,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f533]) ).

fof(f2503,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f532]) ).

fof(f2504,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1874]) ).

fof(f2505,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1873]) ).

fof(f2506,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1610]) ).

fof(f2507,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1609]) ).

fof(f2508,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f457]) ).

fof(f2509,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f456]) ).

fof(f2510,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f449]) ).

fof(f2511,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f448]) ).

fof(f2512,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f459]) ).

fof(f2513,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f458]) ).

fof(f2514,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1740]) ).

fof(f2515,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1739]) ).

fof(f2516,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1484]) ).

fof(f2517,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1483]) ).

fof(f2518,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f419]) ).

fof(f2519,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f418]) ).

fof(f2520,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f411]) ).

fof(f2521,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f410]) ).

fof(f2522,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f421]) ).

fof(f2523,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f420]) ).

fof(f2524,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f1145]) ).

fof(f2525,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f282,f318]) ).

fof(f2526,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct) ),
    inference(resolution,[status(thm)],[f282,f429]) ).

fof(f2527,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f333]) ).

fof(f2528,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f328]) ).

fof(f2529,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f323]) ).

fof(f2530,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f282,f322]) ).

fof(f2531,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f325]) ).

fof(f2532,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f324]) ).

fof(f2533,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct) ),
    inference(resolution,[status(thm)],[f282,f338]) ).

fof(f2534,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f282,f319]) ).

fof(f2535,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f321]) ).

fof(f2536,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f320]) ).

fof(f2537,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f327]) ).

fof(f2538,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f326]) ).

fof(f2539,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f1146]) ).

fof(f2540,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f598]) ).

fof(f2541,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f589]) ).

fof(f2542,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f546]) ).

fof(f2543,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f538]) ).

fof(f2544,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f491]) ).

fof(f2545,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f484]) ).

fof(f2546,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f477]) ).

fof(f2547,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f424]) ).

fof(f2548,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f282,f430]) ).

fof(f2549,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f374]) ).

fof(f2550,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f369]) ).

fof(f2551,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f364]) ).

fof(f2552,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f359]) ).

fof(f2553,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f334]) ).

fof(f2554,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f329]) ).

fof(f2555,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f394]) ).

fof(f2556,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f384]) ).

fof(f2557,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f354]) ).

fof(f2558,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f344]) ).

fof(f2559,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f314]) ).

fof(f2560,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f389]) ).

fof(f2561,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f379]) ).

fof(f2562,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f349]) ).

fof(f2563,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f339]) ).

fof(f2564,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f310]) ).

fof(f2565,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f282,f306]) ).

fof(f2566,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f282,f288]) ).

fof(f2567,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f287]) ).

fof(f2568,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f1147]) ).

fof(f2569,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f282,f307]) ).

fof(f2570,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f599]) ).

fof(f2571,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f590]) ).

fof(f2572,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f547]) ).

fof(f2573,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f539]) ).

fof(f2574,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f492]) ).

fof(f2575,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f485]) ).

fof(f2576,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f478]) ).

fof(f2577,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f425]) ).

fof(f2578,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f282,f431]) ).

fof(f2579,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f375]) ).

fof(f2580,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f370]) ).

fof(f2581,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f365]) ).

fof(f2582,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f360]) ).

fof(f2583,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f335]) ).

fof(f2584,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f330]) ).

fof(f2585,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f390]) ).

fof(f2586,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f380]) ).

fof(f2587,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f350]) ).

fof(f2588,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f340]) ).

fof(f2589,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f311]) ).

fof(f2590,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f395]) ).

fof(f2591,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f385]) ).

fof(f2592,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f355]) ).

fof(f2593,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f345]) ).

fof(f2594,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f315]) ).

fof(f2595,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f282,f281]) ).

fof(f2596,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f282,f280]) ).

fof(f2597,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f279]) ).

fof(f2598,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),ct),
    inference(resolution,[status(thm)],[f282,f275]) ).

fof(f2599,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),ct),
    inference(resolution,[status(thm)],[f282,f274]) ).

fof(f2600,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f283,f282]) ).

fof(f2601,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f283,f1148]) ).

fof(f2602,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f371]) ).

fof(f2603,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f366]) ).

fof(f2604,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f361]) ).

fof(f2605,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f356]) ).

fof(f2606,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f351]) ).

fof(f2607,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f346]) ).

fof(f2608,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f341]) ).

fof(f2609,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f432]) ).

fof(f2610,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f336]) ).

fof(f2611,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f331]) ).

fof(f2612,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f316]) ).

fof(f2613,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f312]) ).

fof(f2614,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f308]) ).

fof(f2615,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f283,f278]) ).

fof(f2616,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f283,f277]) ).

fof(f2617,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f283,f276]) ).

fof(f2618,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f283,f116]) ).

fof(f2619,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f285,f282]) ).

fof(f2620,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f285,f1148]) ).

fof(f2621,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f371]) ).

fof(f2622,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f366]) ).

fof(f2623,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f361]) ).

fof(f2624,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f356]) ).

fof(f2625,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f351]) ).

fof(f2626,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f346]) ).

fof(f2627,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f341]) ).

fof(f2628,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f432]) ).

fof(f2629,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f336]) ).

fof(f2630,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f331]) ).

fof(f2631,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f316]) ).

fof(f2632,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f312]) ).

fof(f2633,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f308]) ).

fof(f2634,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f285,f278]) ).

fof(f2635,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f285,f277]) ).

fof(f2636,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f285,f276]) ).

fof(f2637,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f285,f116]) ).

fof(f2638,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f286,f282]) ).

fof(f2639,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f286,f1148]) ).

fof(f2640,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f371]) ).

fof(f2641,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f366]) ).

fof(f2642,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f361]) ).

fof(f2643,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f356]) ).

fof(f2644,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f351]) ).

fof(f2645,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f346]) ).

fof(f2646,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f341]) ).

fof(f2647,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f432]) ).

fof(f2648,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f336]) ).

fof(f2649,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f331]) ).

fof(f2650,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f316]) ).

fof(f2651,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f312]) ).

fof(f2652,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f308]) ).

fof(f2653,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f286,f278]) ).

fof(f2654,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f286,f277]) ).

fof(f2655,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f286,f276]) ).

fof(f2656,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f286,f116]) ).

fof(f2657,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f289,f282]) ).

fof(f2658,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f289,f1148]) ).

fof(f2659,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f371]) ).

fof(f2660,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f366]) ).

fof(f2661,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f361]) ).

fof(f2662,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f356]) ).

fof(f2663,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f351]) ).

fof(f2664,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f346]) ).

fof(f2665,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f341]) ).

fof(f2666,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f432]) ).

fof(f2667,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f336]) ).

fof(f2668,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f331]) ).

fof(f2669,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f316]) ).

fof(f2670,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f312]) ).

fof(f2671,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f308]) ).

fof(f2672,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f289,f278]) ).

fof(f2673,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f289,f277]) ).

fof(f2674,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f289,f276]) ).

fof(f2675,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f289,f116]) ).

fof(f2676,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f290,f282]) ).

fof(f2677,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f290,f1148]) ).

fof(f2678,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f371]) ).

fof(f2679,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f366]) ).

fof(f2680,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f361]) ).

fof(f2681,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f356]) ).

fof(f2682,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f351]) ).

fof(f2683,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f346]) ).

fof(f2684,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f341]) ).

fof(f2685,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f432]) ).

fof(f2686,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f336]) ).

fof(f2687,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f331]) ).

fof(f2688,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f316]) ).

fof(f2689,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f312]) ).

fof(f2690,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f308]) ).

fof(f2691,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f290,f278]) ).

fof(f2692,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f290,f277]) ).

fof(f2693,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f290,f276]) ).

fof(f2694,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f290,f116]) ).

fof(f2695,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f292,f282]) ).

fof(f2696,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f292,f1148]) ).

fof(f2697,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f371]) ).

fof(f2698,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f366]) ).

fof(f2699,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f361]) ).

fof(f2700,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f356]) ).

fof(f2701,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f351]) ).

fof(f2702,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f346]) ).

fof(f2703,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f341]) ).

fof(f2704,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f432]) ).

fof(f2705,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f336]) ).

fof(f2706,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f331]) ).

fof(f2707,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f316]) ).

fof(f2708,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f312]) ).

fof(f2709,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f308]) ).

fof(f2710,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f292,f278]) ).

fof(f2711,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f292,f277]) ).

fof(f2712,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f292,f276]) ).

fof(f2713,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f292,f116]) ).

fof(f2714,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f293,f282]) ).

fof(f2715,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f293,f1148]) ).

fof(f2716,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f371]) ).

fof(f2717,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f366]) ).

fof(f2718,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f361]) ).

fof(f2719,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f356]) ).

fof(f2720,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f351]) ).

fof(f2721,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f346]) ).

fof(f2722,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f341]) ).

fof(f2723,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f432]) ).

fof(f2724,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f336]) ).

fof(f2725,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f331]) ).

fof(f2726,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f316]) ).

fof(f2727,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f312]) ).

fof(f2728,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f308]) ).

fof(f2729,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f293,f278]) ).

fof(f2730,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f293,f277]) ).

fof(f2731,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f293,f276]) ).

fof(f2732,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f293,f116]) ).

fof(f2733,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f2598,f282]) ).

fof(f2734,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2598,f1148]) ).

fof(f2735,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f371]) ).

fof(f2736,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f366]) ).

fof(f2737,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f361]) ).

fof(f2738,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f356]) ).

fof(f2739,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f351]) ).

fof(f2740,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f346]) ).

fof(f2741,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f341]) ).

fof(f2742,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f432]) ).

fof(f2743,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f336]) ).

fof(f2744,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f331]) ).

fof(f2745,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f316]) ).

fof(f2746,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f312]) ).

fof(f2747,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f308]) ).

fof(f2748,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f2598,f278]) ).

fof(f2749,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f2598,f277]) ).

fof(f2750,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2598,f276]) ).

fof(f2751,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2598,f116]) ).

fof(f2752,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f2599,f282]) ).

fof(f2753,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2599,f1148]) ).

fof(f2754,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f371]) ).

fof(f2755,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f366]) ).

fof(f2756,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f361]) ).

fof(f2757,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f356]) ).

fof(f2758,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f351]) ).

fof(f2759,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f346]) ).

fof(f2760,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f341]) ).

fof(f2761,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f432]) ).

fof(f2762,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f336]) ).

fof(f2763,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f331]) ).

fof(f2764,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f316]) ).

fof(f2765,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f312]) ).

fof(f2766,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f308]) ).

fof(f2767,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f2599,f278]) ).

fof(f2768,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f2599,f277]) ).

fof(f2769,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2599,f276]) ).

fof(f2770,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2599,f116]) ).

fof(f2771,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(cx,cx)),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f299,f165]) ).

fof(f2772,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(cx,empty_set)),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f300,f165]) ).

fof(f2773,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(empty_set,cx)),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f302,f165]) ).

fof(f2774,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f284,f1159]) ).

fof(f2775,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f284,f1083]) ).

fof(f2776,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f284,f119]) ).

fof(f2777,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2299]) ).

fof(f2778,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f2154]) ).

fof(f2779,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2153]) ).

fof(f2780,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f2012]) ).

fof(f2781,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2011]) ).

fof(f2782,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f581]) ).

fof(f2783,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f580]) ).

fof(f2784,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f573]) ).

fof(f2785,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f572]) ).

fof(f2786,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f583]) ).

fof(f2787,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f582]) ).

fof(f2788,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f531]) ).

fof(f2789,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f530]) ).

fof(f2790,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f523]) ).

fof(f2791,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f522]) ).

fof(f2792,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f533]) ).

fof(f2793,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f532]) ).

fof(f2794,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f284,f2599]) ).

fof(f2795,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f2598]) ).

fof(f2796,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1874]) ).

fof(f2797,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1873]) ).

fof(f2798,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1610]) ).

fof(f2799,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1609]) ).

fof(f2800,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f457]) ).

fof(f2801,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f456]) ).

fof(f2802,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f449]) ).

fof(f2803,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f448]) ).

fof(f2804,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f459]) ).

fof(f2805,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f458]) ).

fof(f2806,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1740]) ).

fof(f2807,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1739]) ).

fof(f2808,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1484]) ).

fof(f2809,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1483]) ).

fof(f2810,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f419]) ).

fof(f2811,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f418]) ).

fof(f2812,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f411]) ).

fof(f2813,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f410]) ).

fof(f2814,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f421]) ).

fof(f2815,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f420]) ).

fof(f2816,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f1145]) ).

fof(f2817,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f284,f318]) ).

fof(f2818,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct) ),
    inference(resolution,[status(thm)],[f284,f429]) ).

fof(f2819,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f333]) ).

fof(f2820,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f328]) ).

fof(f2821,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f323]) ).

fof(f2822,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f284,f322]) ).

fof(f2823,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f325]) ).

fof(f2824,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f324]) ).

fof(f2825,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct) ),
    inference(resolution,[status(thm)],[f284,f338]) ).

fof(f2826,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f284,f319]) ).

fof(f2827,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f321]) ).

fof(f2828,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f320]) ).

fof(f2829,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f327]) ).

fof(f2830,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f326]) ).

fof(f2831,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f1146]) ).

fof(f2832,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f598]) ).

fof(f2833,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f589]) ).

fof(f2834,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f546]) ).

fof(f2835,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f538]) ).

fof(f2836,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f491]) ).

fof(f2837,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f484]) ).

fof(f2838,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f477]) ).

fof(f2839,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f424]) ).

fof(f2840,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f284,f430]) ).

fof(f2841,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f374]) ).

fof(f2842,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f369]) ).

fof(f2843,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f364]) ).

fof(f2844,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f359]) ).

fof(f2845,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f334]) ).

fof(f2846,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f329]) ).

fof(f2847,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f286]) ).

fof(f2848,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f284,f285]) ).

fof(f2849,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f394]) ).

fof(f2850,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f384]) ).

fof(f2851,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f354]) ).

fof(f2852,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f344]) ).

fof(f2853,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f314]) ).

fof(f2854,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f284,f292]) ).

fof(f2855,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f289]) ).

fof(f2856,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f389]) ).

fof(f2857,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f379]) ).

fof(f2858,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f349]) ).

fof(f2859,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f339]) ).

fof(f2860,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f310]) ).

fof(f2861,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f284,f306]) ).

fof(f2862,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f284,f288]) ).

fof(f2863,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f287]) ).

fof(f2864,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f1147]) ).

fof(f2865,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f284,f307]) ).

fof(f2866,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f599]) ).

fof(f2867,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f590]) ).

fof(f2868,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f547]) ).

fof(f2869,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f539]) ).

fof(f2870,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f492]) ).

fof(f2871,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f485]) ).

fof(f2872,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f478]) ).

fof(f2873,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f425]) ).

fof(f2874,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f284,f431]) ).

fof(f2875,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f375]) ).

fof(f2876,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f370]) ).

fof(f2877,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f365]) ).

fof(f2878,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f360]) ).

fof(f2879,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f335]) ).

fof(f2880,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f330]) ).

fof(f2881,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f284,f293]) ).

fof(f2882,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f290]) ).

fof(f2883,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f390]) ).

fof(f2884,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f380]) ).

fof(f2885,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f350]) ).

fof(f2886,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f340]) ).

fof(f2887,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f311]) ).

fof(f2888,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f284,f283]) ).

fof(f2889,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f395]) ).

fof(f2890,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f385]) ).

fof(f2891,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f355]) ).

fof(f2892,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f345]) ).

fof(f2893,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f315]) ).

fof(f2894,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f281]) ).

fof(f2895,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f284,f280]) ).

fof(f2896,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f279]) ).

fof(f2897,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),ct),
    inference(resolution,[status(thm)],[f284,f275]) ).

fof(f2898,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),ct),
    inference(resolution,[status(thm)],[f284,f274]) ).

fof(f2899,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f291,f1159]) ).

fof(f2900,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f291,f1083]) ).

fof(f2901,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f291,f119]) ).

fof(f2902,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2299]) ).

fof(f2903,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f2154]) ).

fof(f2904,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2153]) ).

fof(f2905,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f2012]) ).

fof(f2906,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2011]) ).

fof(f2907,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f581]) ).

fof(f2908,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f580]) ).

fof(f2909,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f573]) ).

fof(f2910,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f572]) ).

fof(f2911,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f583]) ).

fof(f2912,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f582]) ).

fof(f2913,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f531]) ).

fof(f2914,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f530]) ).

fof(f2915,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f523]) ).

fof(f2916,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f522]) ).

fof(f2917,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f533]) ).

fof(f2918,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f532]) ).

fof(f2919,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f291,f2599]) ).

fof(f2920,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f2598]) ).

fof(f2921,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1874]) ).

fof(f2922,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1873]) ).

fof(f2923,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1610]) ).

fof(f2924,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1609]) ).

fof(f2925,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f457]) ).

fof(f2926,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f456]) ).

fof(f2927,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f449]) ).

fof(f2928,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f448]) ).

fof(f2929,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f459]) ).

fof(f2930,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f458]) ).

fof(f2931,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1740]) ).

fof(f2932,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1739]) ).

fof(f2933,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1484]) ).

fof(f2934,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1483]) ).

fof(f2935,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f419]) ).

fof(f2936,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f418]) ).

fof(f2937,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f411]) ).

fof(f2938,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f410]) ).

fof(f2939,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f421]) ).

fof(f2940,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f420]) ).

fof(f2941,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f1145]) ).

fof(f2942,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f291,f318]) ).

fof(f2943,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct) ),
    inference(resolution,[status(thm)],[f291,f429]) ).

fof(f2944,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f333]) ).

fof(f2945,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f328]) ).

fof(f2946,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f323]) ).

fof(f2947,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f291,f322]) ).

fof(f2948,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f325]) ).

fof(f2949,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f324]) ).

fof(f2950,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct) ),
    inference(resolution,[status(thm)],[f291,f338]) ).

fof(f2951,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f291,f319]) ).

fof(f2952,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f321]) ).

fof(f2953,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f320]) ).

fof(f2954,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f327]) ).

fof(f2955,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f326]) ).

fof(f2956,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f1146]) ).

fof(f2957,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f598]) ).

fof(f2958,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f589]) ).

fof(f2959,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f546]) ).

fof(f2960,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f538]) ).

fof(f2961,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f491]) ).

fof(f2962,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f484]) ).

fof(f2963,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f477]) ).

fof(f2964,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f424]) ).

fof(f2965,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f291,f430]) ).

fof(f2966,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f374]) ).

fof(f2967,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f369]) ).

fof(f2968,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f364]) ).

fof(f2969,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f359]) ).

fof(f2970,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f334]) ).

fof(f2971,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f329]) ).

fof(f2972,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f286]) ).

fof(f2973,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f285]) ).

fof(f2974,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f394]) ).

fof(f2975,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f384]) ).

fof(f2976,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f354]) ).

fof(f2977,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f344]) ).

fof(f2978,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f314]) ).

fof(f2979,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f292]) ).

fof(f2980,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f289]) ).

fof(f2981,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f389]) ).

fof(f2982,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f379]) ).

fof(f2983,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f349]) ).

fof(f2984,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f339]) ).

fof(f2985,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f310]) ).

fof(f2986,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f291,f306]) ).

fof(f2987,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f291,f288]) ).

fof(f2988,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f287]) ).

fof(f2989,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f1147]) ).

fof(f2990,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f291,f307]) ).

fof(f2991,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f599]) ).

fof(f2992,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f590]) ).

fof(f2993,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f547]) ).

fof(f2994,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f539]) ).

fof(f2995,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f492]) ).

fof(f2996,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f485]) ).

fof(f2997,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f478]) ).

fof(f2998,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f425]) ).

fof(f2999,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f291,f431]) ).

fof(f3000,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f375]) ).

fof(f3001,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f370]) ).

fof(f3002,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f365]) ).

fof(f3003,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f360]) ).

fof(f3004,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f335]) ).

fof(f3005,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f330]) ).

fof(f3006,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f293]) ).

fof(f3007,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f290]) ).

fof(f3008,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f390]) ).

fof(f3009,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f380]) ).

fof(f3010,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f350]) ).

fof(f3011,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f340]) ).

fof(f3012,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f311]) ).

fof(f3013,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f283]) ).

fof(f3014,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f395]) ).

fof(f3015,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f385]) ).

fof(f3016,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f355]) ).

fof(f3017,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f345]) ).

fof(f3018,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f315]) ).

fof(f3019,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f281]) ).

fof(f3020,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f291,f280]) ).

fof(f3021,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f279]) ).

fof(f3022,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),ct),
    inference(resolution,[status(thm)],[f291,f275]) ).

fof(f3023,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),ct),
    inference(resolution,[status(thm)],[f291,f274]) ).

fof(f3024,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | open(f16(X0,a,cx,ct),cx,ct) ),
    inference(resolution,[status(thm)],[f197,f1361]) ).

fof(f3026,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f1083]) ).

fof(f3027,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f119]) ).

fof(f3029,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f1083]) ).

fof(f3030,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f119]) ).

fof(f3032,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(closure(X2,X0,X1),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f186,f165]) ).

fof(f3033,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f188,f1085]) ).

fof(f3034,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f188,f165]) ).

fof(f3035,plain,
    ! [X0] :
      ( ~ element_of_collection(X0,ct)
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f140,f271]) ).

fof(f3036,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | open(f1(ct,f11(X0,f2(ct,X1))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1159]) ).

fof(f3037,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | open(f1(ct,f11(X0,union_of_members(ct))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1083]) ).

fof(f3038,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(f2(ct,X0),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f119]) ).

fof(f3039,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f2299]) ).

fof(f3040,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f2154]) ).

fof(f3041,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f2153]) ).

fof(f3042,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f2012]) ).

fof(f3043,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f2011]) ).

fof(f3044,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f581]) ).

fof(f3045,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f580]) ).

fof(f3046,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f573]) ).

fof(f3047,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f572]) ).

fof(f3048,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f583]) ).

fof(f3049,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f582]) ).

fof(f3050,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f531]) ).

fof(f3051,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f530]) ).

fof(f3052,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f523]) ).

fof(f3053,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f522]) ).

fof(f3054,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f533]) ).

fof(f3055,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f532]) ).

fof(f3056,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),cx,ct),
    inference(resolution,[status(thm)],[f3035,f2599]) ).

fof(f3057,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),cx,ct),
    inference(resolution,[status(thm)],[f3035,f2598]) ).

fof(f3058,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1874]) ).

fof(f3059,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1873]) ).

fof(f3060,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1610]) ).

fof(f3061,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1609]) ).

fof(f3062,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f457]) ).

fof(f3063,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f456]) ).

fof(f3064,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f449]) ).

fof(f3065,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f448]) ).

fof(f3066,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f459]) ).

fof(f3067,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f458]) ).

fof(f3068,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1740]) ).

fof(f3069,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1739]) ).

fof(f3070,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1484]) ).

fof(f3071,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1483]) ).

fof(f3072,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f419]) ).

fof(f3073,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f418]) ).

fof(f3074,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f411]) ).

fof(f3075,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f410]) ).

fof(f3076,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f421]) ).

fof(f3077,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f420]) ).

fof(f3078,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | open(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1145]) ).

fof(f3079,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),f2(ct,X1)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f318]) ).

fof(f3080,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),f2(ct,X2))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f429]) ).

fof(f3081,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f333]) ).

fof(f3082,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f328]) ).

fof(f3083,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f323]) ).

fof(f3084,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f322]) ).

fof(f3085,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f325]) ).

fof(f3086,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f324]) ).

fof(f3087,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f338]) ).

fof(f3088,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f319]) ).

fof(f3089,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f321]) ).

fof(f3090,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f320]) ).

fof(f3091,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),cx),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f327]) ).

fof(f3092,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X0),empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f326]) ).

fof(f3093,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | open(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1146]) ).

fof(f3094,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f598]) ).

fof(f3095,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f589]) ).

fof(f3096,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f546]) ).

fof(f3097,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f538]) ).

fof(f3098,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f491]) ).

fof(f3099,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f484]) ).

fof(f3100,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f477]) ).

fof(f3101,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f424]) ).

fof(f3102,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f430]) ).

fof(f3103,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f374]) ).

fof(f3104,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f369]) ).

fof(f3105,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f364]) ).

fof(f3106,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f359]) ).

fof(f3107,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f334]) ).

fof(f3108,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f329]) ).

fof(f3109,plain,
    open(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f286]) ).

fof(f3110,plain,
    open(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f285]) ).

fof(f3111,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f394]) ).

fof(f3112,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f384]) ).

fof(f3113,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f354]) ).

fof(f3114,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f344]) ).

fof(f3115,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f314]) ).

fof(f3116,plain,
    open(intersection_of_sets(cx,intersection_of_sets(cx,cx)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f292]) ).

fof(f3117,plain,
    open(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f289]) ).

fof(f3118,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f389]) ).

fof(f3119,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f379]) ).

fof(f3120,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f349]) ).

fof(f3121,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f339]) ).

fof(f3122,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f310]) ).

fof(f3123,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(cx,f2(ct,X0)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f306]) ).

fof(f3124,plain,
    open(intersection_of_sets(cx,cx),cx,ct),
    inference(resolution,[status(thm)],[f3035,f288]) ).

fof(f3125,plain,
    open(intersection_of_sets(cx,empty_set),cx,ct),
    inference(resolution,[status(thm)],[f3035,f287]) ).

fof(f3126,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | open(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f1147]) ).

fof(f3127,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,f2(ct,X0)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f307]) ).

fof(f3128,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f599]) ).

fof(f3129,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f590]) ).

fof(f3130,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f547]) ).

fof(f3131,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f539]) ).

fof(f3132,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f492]) ).

fof(f3133,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f485]) ).

fof(f3134,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f478]) ).

fof(f3135,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f425]) ).

fof(f3136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f431]) ).

fof(f3137,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f375]) ).

fof(f3138,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f370]) ).

fof(f3139,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f365]) ).

fof(f3140,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f360]) ).

fof(f3141,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f335]) ).

fof(f3142,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f330]) ).

fof(f3143,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f293]) ).

fof(f3144,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f290]) ).

fof(f3145,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f390]) ).

fof(f3146,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f380]) ).

fof(f3147,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f350]) ).

fof(f3148,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f340]) ).

fof(f3149,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f311]) ).

fof(f3150,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f283]) ).

fof(f3151,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f395]) ).

fof(f3152,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f385]) ).

fof(f3153,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f355]) ).

fof(f3154,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f345]) ).

fof(f3155,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f315]) ).

fof(f3156,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f3035,f281]) ).

fof(f3157,plain,
    open(intersection_of_sets(empty_set,cx),cx,ct),
    inference(resolution,[status(thm)],[f3035,f280]) ).

fof(f3158,plain,
    open(intersection_of_sets(empty_set,empty_set),cx,ct),
    inference(resolution,[status(thm)],[f3035,f279]) ).

fof(f3159,plain,
    open(empty_set,cx,ct),
    inference(resolution,[status(thm)],[f3035,f275]) ).

fof(f3160,plain,
    open(cx,cx,ct),
    inference(resolution,[status(thm)],[f3035,f274]) ).

fof(f3162,plain,
    ! [X0,X1] :
      ( ~ subset_sets(empty_set,X1)
      | ~ element_of_set(X0,empty_set)
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3159,f184]) ).

fof(f3163,definition,
    ! [X0,X1] :
      ( sQ19_spl
    <=> ( ~ subset_sets(empty_set,X1)
        | ~ element_of_set(X0,empty_set)
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f3164,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ subset_sets(empty_set,X1)
      | ~ element_of_set(X0,empty_set)
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f3163]) ).

fof(f3166,plain,
    ( ~ sQ13_spl
    | sQ19_spl ),
    inference(split_clause,[status(thm)],[f3162,f3163,f1367]) ).

fof(f3167,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1369,f271]) ).

fof(f3168,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f3167]) ).

fof(f3170,plain,
    ! [X0,X1] :
      ( ~ subset_sets(cx,X1)
      | ~ element_of_set(X0,cx)
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3160,f184]) ).

fof(f3171,definition,
    ! [X0,X1] :
      ( sQ20_spl
    <=> ( ~ subset_sets(cx,X1)
        | ~ element_of_set(X0,cx)
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f3172,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ subset_sets(cx,X1)
      | ~ element_of_set(X0,cx)
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f3171]) ).

fof(f3174,plain,
    ( ~ sQ13_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f3170,f3171,f1367]) ).

fof(f3176,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(cx,cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3124,f184]) ).

fof(f3177,definition,
    ! [X0,X1] :
      ( sQ21_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,cx),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,cx))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f3178,plain,
    ! [X0,X1] :
      ( ~ sQ21_spl
      | ~ subset_sets(intersection_of_sets(cx,cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f3177]) ).

fof(f3180,plain,
    ( ~ sQ13_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f3176,f3177,f1367]) ).

fof(f3182,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(cx,empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3125,f184]) ).

fof(f3183,definition,
    ! [X0,X1] :
      ( sQ22_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,empty_set),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f3184,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ subset_sets(intersection_of_sets(cx,empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f3183]) ).

fof(f3186,plain,
    ( ~ sQ13_spl
    | sQ22_spl ),
    inference(split_clause,[status(thm)],[f3182,f3183,f1367]) ).

fof(f3188,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(empty_set,cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3157,f184]) ).

fof(f3189,definition,
    ! [X0,X1] :
      ( sQ23_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,cx),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f3190,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | ~ subset_sets(intersection_of_sets(empty_set,cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f3189]) ).

fof(f3192,plain,
    ( ~ sQ13_spl
    | sQ23_spl ),
    inference(split_clause,[status(thm)],[f3188,f3189,f1367]) ).

fof(f3194,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(empty_set,empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3158,f184]) ).

fof(f3195,definition,
    ! [X0,X1] :
      ( sQ24_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,empty_set),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f3196,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ subset_sets(intersection_of_sets(empty_set,empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f3195]) ).

fof(f3198,plain,
    ( ~ sQ13_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f3194,f3195,f1367]) ).

fof(f3199,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X1)),X0)
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f118,f165]) ).

fof(f3200,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(X0),ct)
      | ~ subset_collections(X0,ct) ),
    inference(resolution,[status(thm)],[f128,f271]) ).

fof(f3201,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2482,f114]) ).

fof(f3202,plain,
    ! [X0] :
      ( element_of_set(f11(X0,empty_set),f1(ct,f11(X0,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2482,f113]) ).

fof(f3203,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2483,f114]) ).

fof(f3204,plain,
    ! [X0] :
      ( element_of_set(f11(X0,cx),f1(ct,f11(X0,cx)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2483,f113]) ).

fof(f3206,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f2(ct,X0),X2)
      | ~ element_of_set(X1,f2(ct,X0))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3038,f184]) ).

fof(f3207,definition,
    ! [X0,X1,X2] :
      ( sQ25_spl
    <=> ( ~ subset_sets(f2(ct,X0),X2)
        | ~ element_of_set(X1,f2(ct,X0))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f3208,plain,
    ! [X0,X1,X2] :
      ( ~ sQ25_spl
      | ~ subset_sets(f2(ct,X0),X2)
      | ~ element_of_set(X1,f2(ct,X0))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3207]) ).

fof(f3210,plain,
    ( ~ sQ13_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f3206,f3207,f1367]) ).

fof(f3211,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,empty_set)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f3035]) ).

fof(f3212,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f291]) ).

fof(f3213,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f284]) ).

fof(f3214,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f282]) ).

fof(f3215,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f1148]) ).

fof(f3216,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f371]) ).

fof(f3217,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f366]) ).

fof(f3218,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f361]) ).

fof(f3219,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f356]) ).

fof(f3220,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f351]) ).

fof(f3221,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f346]) ).

fof(f3222,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f341]) ).

fof(f3223,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f432]) ).

fof(f3224,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f336]) ).

fof(f3225,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f331]) ).

fof(f3226,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f316]) ).

fof(f3227,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f312]) ).

fof(f3228,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f308]) ).

fof(f3229,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f278]) ).

fof(f3230,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f277]) ).

fof(f3231,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f276]) ).

fof(f3232,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f116]) ).

fof(f3233,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,cx)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f3035]) ).

fof(f3234,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f291]) ).

fof(f3235,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f284]) ).

fof(f3236,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f282]) ).

fof(f3237,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f1148]) ).

fof(f3238,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f371]) ).

fof(f3239,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f366]) ).

fof(f3240,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f361]) ).

fof(f3241,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f356]) ).

fof(f3242,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f351]) ).

fof(f3243,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f346]) ).

fof(f3244,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f341]) ).

fof(f3245,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f432]) ).

fof(f3246,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f336]) ).

fof(f3247,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f331]) ).

fof(f3248,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f316]) ).

fof(f3249,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f312]) ).

fof(f3250,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f308]) ).

fof(f3251,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f278]) ).

fof(f3252,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f277]) ).

fof(f3253,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f276]) ).

fof(f3254,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3203,f116]) ).

fof(f3256,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3091,f184]) ).

fof(f3257,definition,
    ! [X0,X1,X2] :
      ( sQ26_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f3258,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3257]) ).

fof(f3260,plain,
    ( ~ sQ13_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f3256,f3257,f1367]) ).

fof(f3262,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3092,f184]) ).

fof(f3263,definition,
    ! [X0,X1,X2] :
      ( sQ27_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f3264,plain,
    ! [X0,X1,X2] :
      ( ~ sQ27_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3263]) ).

fof(f3266,plain,
    ( ~ sQ13_spl
    | sQ27_spl ),
    inference(split_clause,[status(thm)],[f3262,f3263,f1367]) ).

fof(f3268,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3123,f184]) ).

fof(f3269,definition,
    ! [X0,X1,X2] :
      ( sQ28_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,f2(ct,X0)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f3270,plain,
    ! [X0,X1,X2] :
      ( ~ sQ28_spl
      | ~ subset_sets(intersection_of_sets(cx,f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3269]) ).

fof(f3272,plain,
    ( ~ sQ13_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f3268,f3269,f1367]) ).

fof(f3274,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3127,f184]) ).

fof(f3275,definition,
    ! [X0,X1,X2] :
      ( sQ29_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,f2(ct,X0)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f3276,plain,
    ! [X0,X1,X2] :
      ( ~ sQ29_spl
      | ~ subset_sets(intersection_of_sets(empty_set,f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3275]) ).

fof(f3278,plain,
    ( ~ sQ13_spl
    | sQ29_spl ),
    inference(split_clause,[status(thm)],[f3274,f3275,f1367]) ).

fof(f3280,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,empty_set)),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3211,f184]) ).

fof(f3281,definition,
    ! [X0,X1,X2] :
      ( sQ30_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,empty_set)),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f3282,plain,
    ! [X0,X1,X2] :
      ( ~ sQ30_spl
      | ~ subset_sets(f1(ct,f11(X0,empty_set)),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3281]) ).

fof(f3284,plain,
    ( ~ sQ13_spl
    | sQ30_spl ),
    inference(split_clause,[status(thm)],[f3280,f3281,f1367]) ).

fof(f3286,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,cx)),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3233,f184]) ).

fof(f3287,definition,
    ! [X0,X1,X2] :
      ( sQ31_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,cx)),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f3288,plain,
    ! [X0,X1,X2] :
      ( ~ sQ31_spl
      | ~ subset_sets(f1(ct,f11(X0,cx)),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3287]) ).

fof(f3290,plain,
    ( ~ sQ13_spl
    | sQ31_spl ),
    inference(split_clause,[status(thm)],[f3286,f3287,f1367]) ).

fof(f3291,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f3035]) ).

fof(f3292,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f291]) ).

fof(f3293,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f284]) ).

fof(f3294,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f282]) ).

fof(f3295,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f1148]) ).

fof(f3296,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f371]) ).

fof(f3297,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f366]) ).

fof(f3298,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f361]) ).

fof(f3299,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f356]) ).

fof(f3300,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f351]) ).

fof(f3301,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f346]) ).

fof(f3302,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f341]) ).

fof(f3303,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f432]) ).

fof(f3304,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f336]) ).

fof(f3305,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f331]) ).

fof(f3306,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f316]) ).

fof(f3307,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f312]) ).

fof(f3308,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f308]) ).

fof(f3309,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f278]) ).

fof(f3310,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f277]) ).

fof(f3311,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f276]) ).

fof(f3312,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f116]) ).

fof(f3313,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f3035]) ).

fof(f3314,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f291]) ).

fof(f3315,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f284]) ).

fof(f3316,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f282]) ).

fof(f3317,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f1148]) ).

fof(f3318,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f371]) ).

fof(f3319,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f366]) ).

fof(f3320,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f361]) ).

fof(f3321,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f356]) ).

fof(f3322,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f351]) ).

fof(f3323,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f346]) ).

fof(f3324,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f341]) ).

fof(f3325,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f432]) ).

fof(f3326,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f336]) ).

fof(f3327,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f331]) ).

fof(f3328,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f316]) ).

fof(f3329,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f312]) ).

fof(f3330,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f308]) ).

fof(f3331,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f278]) ).

fof(f3332,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f277]) ).

fof(f3333,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f276]) ).

fof(f3334,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f116]) ).

fof(f3335,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f3035]) ).

fof(f3336,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f291]) ).

fof(f3337,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f284]) ).

fof(f3338,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f282]) ).

fof(f3339,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f1148]) ).

fof(f3340,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f371]) ).

fof(f3341,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f366]) ).

fof(f3342,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f361]) ).

fof(f3343,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f356]) ).

fof(f3344,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f351]) ).

fof(f3345,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f346]) ).

fof(f3346,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f341]) ).

fof(f3347,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f432]) ).

fof(f3348,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f336]) ).

fof(f3349,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f331]) ).

fof(f3350,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f316]) ).

fof(f3351,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f312]) ).

fof(f3352,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f308]) ).

fof(f3353,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f278]) ).

fof(f3354,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f277]) ).

fof(f3355,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f276]) ).

fof(f3356,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f116]) ).

fof(f3357,plain,
    ! [X0] :
      ( element_of_collection(f16(X0,a,cx,ct),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3024,f138]) ).

fof(f3358,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f16(X0,a,cx,ct),X2)
      | ~ element_of_set(X1,f16(X0,a,cx,ct))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3024,f184]) ).

fof(f3359,definition,
    ! [X0,X1,X2] :
      ( sQ32_spl
    <=> ( ~ subset_sets(f16(X0,a,cx,ct),X2)
        | ~ element_of_set(X1,f16(X0,a,cx,ct))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f3360,plain,
    ! [X0,X1,X2] :
      ( ~ sQ32_spl
      | ~ subset_sets(f16(X0,a,cx,ct),X2)
      | ~ element_of_set(X1,f16(X0,a,cx,ct))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f3359]) ).

fof(f3362,plain,
    ( ~ sQ13_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f3358,f3359,f1367]) ).

fof(f3364,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f16(X0,a,cx,ct)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f291]) ).

fof(f3365,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f16(X0,a,cx,ct)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f284]) ).

fof(f3366,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f16(X0,a,cx,ct)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f282]) ).

fof(f3367,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f16(X0,a,cx,ct)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f1148]) ).

fof(f3368,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f371]) ).

fof(f3369,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f366]) ).

fof(f3370,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f361]) ).

fof(f3371,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f356]) ).

fof(f3372,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f351]) ).

fof(f3373,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f346]) ).

fof(f3374,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f341]) ).

fof(f3375,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),f16(X0,a,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f432]) ).

fof(f3376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f336]) ).

fof(f3377,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f331]) ).

fof(f3378,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f316]) ).

fof(f3379,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f312]) ).

fof(f3380,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f16(X0,a,cx,ct)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f308]) ).

fof(f3381,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f16(X0,a,cx,ct)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f278]) ).

fof(f3382,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f16(X0,a,cx,ct)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f277]) ).

fof(f3383,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f276]) ).

fof(f3384,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f16(X0,a,cx,ct))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3357,f116]) ).

fof(f3385,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f3035]) ).

fof(f3386,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f291]) ).

fof(f3387,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f284]) ).

fof(f3388,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f282]) ).

fof(f3389,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f1148]) ).

fof(f3390,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f371]) ).

fof(f3391,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f366]) ).

fof(f3392,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f361]) ).

fof(f3393,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f356]) ).

fof(f3394,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f351]) ).

fof(f3395,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f346]) ).

fof(f3396,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f341]) ).

fof(f3397,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f432]) ).

fof(f3398,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f336]) ).

fof(f3399,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f331]) ).

fof(f3400,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f316]) ).

fof(f3401,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f312]) ).

fof(f3402,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f308]) ).

fof(f3403,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f278]) ).

fof(f3404,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f277]) ).

fof(f3405,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f276]) ).

fof(f3406,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f116]) ).

fof(f3407,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f3035]) ).

fof(f3408,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f291]) ).

fof(f3409,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f284]) ).

fof(f3410,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f282]) ).

fof(f3411,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f1148]) ).

fof(f3412,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f371]) ).

fof(f3413,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f366]) ).

fof(f3414,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f361]) ).

fof(f3415,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f356]) ).

fof(f3416,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f351]) ).

fof(f3417,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f346]) ).

fof(f3418,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f341]) ).

fof(f3419,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f432]) ).

fof(f3420,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f336]) ).

fof(f3421,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f331]) ).

fof(f3422,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f316]) ).

fof(f3423,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f312]) ).

fof(f3424,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f308]) ).

fof(f3425,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f278]) ).

fof(f3426,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f277]) ).

fof(f3427,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f276]) ).

fof(f3428,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f116]) ).

fof(f3429,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f3035]) ).

fof(f3430,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f291]) ).

fof(f3431,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f284]) ).

fof(f3432,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f282]) ).

fof(f3433,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f1148]) ).

fof(f3434,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f371]) ).

fof(f3435,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f366]) ).

fof(f3436,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f361]) ).

fof(f3437,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f356]) ).

fof(f3438,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f351]) ).

fof(f3439,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f346]) ).

fof(f3440,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f341]) ).

fof(f3441,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f432]) ).

fof(f3442,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f336]) ).

fof(f3443,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f331]) ).

fof(f3444,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f316]) ).

fof(f3445,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f312]) ).

fof(f3446,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f308]) ).

fof(f3447,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f278]) ).

fof(f3448,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f277]) ).

fof(f3449,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f276]) ).

fof(f3450,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3251,f116]) ).

fof(f3451,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f3035]) ).

fof(f3452,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f291]) ).

fof(f3453,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f284]) ).

fof(f3454,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f282]) ).

fof(f3455,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f1148]) ).

fof(f3456,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f371]) ).

fof(f3457,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f366]) ).

fof(f3458,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f361]) ).

fof(f3459,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f356]) ).

fof(f3460,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f351]) ).

fof(f3461,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f346]) ).

fof(f3462,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f341]) ).

fof(f3463,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f432]) ).

fof(f3464,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f336]) ).

fof(f3465,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f331]) ).

fof(f3466,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f316]) ).

fof(f3467,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f312]) ).

fof(f3468,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f308]) ).

fof(f3469,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f278]) ).

fof(f3470,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f277]) ).

fof(f3471,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f276]) ).

fof(f3472,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3252,f116]) ).

fof(f3473,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2771,f114]) ).

fof(f3474,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_sets(cx,cx)),f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2771,f113]) ).

fof(f3475,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2772,f114]) ).

fof(f3476,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2772,f113]) ).

fof(f3477,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X1,cx),X0),f18(cx,ct,f11(X1,cx),X0))
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2475,f165]) ).

fof(f3478,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X1,cx),X0),X0,cx,ct)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2476,f165]) ).

fof(f3479,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X1,cx),X0),f11(X1,cx),cx,ct)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2477,f165]) ).

fof(f3481,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,union_of_members(ct))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3037,f184]) ).

fof(f3482,definition,
    ! [X0,X1,X2] :
      ( sQ33_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,union_of_members(ct))),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f3483,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ subset_sets(f1(ct,f11(X0,union_of_members(ct))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3482]) ).

fof(f3485,plain,
    ( ~ sQ13_spl
    | sQ33_spl ),
    inference(split_clause,[status(thm)],[f3481,f3482,f1367]) ).

fof(f3486,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,boundary(X0,X1,X4))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3033,f116]) ).

fof(f3488,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2773,f114]) ).

fof(f3489,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2773,f113]) ).

fof(f3491,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3048,f184]) ).

fof(f3492,definition,
    ! [X0,X1,X2] :
      ( sQ34_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f3493,plain,
    ! [X0,X1,X2] :
      ( ~ sQ34_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3492]) ).

fof(f3495,plain,
    ( ~ sQ13_spl
    | sQ34_spl ),
    inference(split_clause,[status(thm)],[f3491,f3492,f1367]) ).

fof(f3497,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3049,f184]) ).

fof(f3498,definition,
    ! [X0,X1,X2] :
      ( sQ35_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f3499,plain,
    ! [X0,X1,X2] :
      ( ~ sQ35_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3498]) ).

fof(f3501,plain,
    ( ~ sQ13_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f3497,f3498,f1367]) ).

fof(f3503,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3054,f184]) ).

fof(f3504,definition,
    ! [X0,X1,X2] :
      ( sQ36_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f3505,plain,
    ! [X0,X1,X2] :
      ( ~ sQ36_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3504]) ).

fof(f3507,plain,
    ( ~ sQ13_spl
    | sQ36_spl ),
    inference(split_clause,[status(thm)],[f3503,f3504,f1367]) ).

fof(f3509,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3055,f184]) ).

fof(f3510,definition,
    ! [X0,X1,X2] :
      ( sQ37_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f3511,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3510]) ).

fof(f3513,plain,
    ( ~ sQ13_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f3509,f3510,f1367]) ).

fof(f3515,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3066,f184]) ).

fof(f3516,definition,
    ! [X0,X1,X2] :
      ( sQ38_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f3517,plain,
    ! [X0,X1,X2] :
      ( ~ sQ38_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3516]) ).

fof(f3519,plain,
    ( ~ sQ13_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f3515,f3516,f1367]) ).

fof(f3521,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3067,f184]) ).

fof(f3522,definition,
    ! [X0,X1,X2] :
      ( sQ39_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f3523,plain,
    ! [X0,X1,X2] :
      ( ~ sQ39_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3522]) ).

fof(f3525,plain,
    ( ~ sQ13_spl
    | sQ39_spl ),
    inference(split_clause,[status(thm)],[f3521,f3522,f1367]) ).

fof(f3527,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3076,f184]) ).

fof(f3528,definition,
    ! [X0,X1,X2] :
      ( sQ40_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f3529,plain,
    ! [X0,X1,X2] :
      ( ~ sQ40_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3528]) ).

fof(f3531,plain,
    ( ~ sQ13_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f3527,f3528,f1367]) ).

fof(f3533,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3077,f184]) ).

fof(f3534,definition,
    ! [X0,X1,X2] :
      ( sQ41_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f3535,plain,
    ! [X0,X1,X2] :
      ( ~ sQ41_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3534]) ).

fof(f3537,plain,
    ( ~ sQ13_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f3533,f3534,f1367]) ).

fof(f3539,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3085,f184]) ).

fof(f3540,definition,
    ! [X0,X1,X2] :
      ( sQ42_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f3541,plain,
    ! [X0,X1,X2] :
      ( ~ sQ42_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3540]) ).

fof(f3543,plain,
    ( ~ sQ13_spl
    | sQ42_spl ),
    inference(split_clause,[status(thm)],[f3539,f3540,f1367]) ).

fof(f3545,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3086,f184]) ).

fof(f3546,definition,
    ! [X0,X1,X2] :
      ( sQ43_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f3547,plain,
    ! [X0,X1,X2] :
      ( ~ sQ43_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3546]) ).

fof(f3549,plain,
    ( ~ sQ13_spl
    | sQ43_spl ),
    inference(split_clause,[status(thm)],[f3545,f3546,f1367]) ).

fof(f3551,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3089,f184]) ).

fof(f3552,definition,
    ! [X0,X1,X2] :
      ( sQ44_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f3553,plain,
    ! [X0,X1,X2] :
      ( ~ sQ44_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3552]) ).

fof(f3555,plain,
    ( ~ sQ13_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f3551,f3552,f1367]) ).

fof(f3557,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3090,f184]) ).

fof(f3558,definition,
    ! [X0,X1,X2] :
      ( sQ45_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f3559,plain,
    ! [X0,X1,X2] :
      ( ~ sQ45_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3558]) ).

fof(f3561,plain,
    ( ~ sQ13_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f3557,f3558,f1367]) ).

fof(f3563,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3107,f184]) ).

fof(f3564,definition,
    ! [X0,X1,X2] :
      ( sQ46_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f3565,plain,
    ! [X0,X1,X2] :
      ( ~ sQ46_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3564]) ).

fof(f3567,plain,
    ( ~ sQ13_spl
    | sQ46_spl ),
    inference(split_clause,[status(thm)],[f3563,f3564,f1367]) ).

fof(f3569,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3108,f184]) ).

fof(f3570,definition,
    ! [X0,X1,X2] :
      ( sQ47_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f3571,plain,
    ! [X0,X1,X2] :
      ( ~ sQ47_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3570]) ).

fof(f3573,plain,
    ( ~ sQ13_spl
    | sQ47_spl ),
    inference(split_clause,[status(thm)],[f3569,f3570,f1367]) ).

fof(f3575,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3115,f184]) ).

fof(f3576,definition,
    ! [X0,X1,X2] :
      ( sQ48_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f3577,plain,
    ! [X0,X1,X2] :
      ( ~ sQ48_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3576]) ).

fof(f3579,plain,
    ( ~ sQ13_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f3575,f3576,f1367]) ).

fof(f3581,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3122,f184]) ).

fof(f3582,definition,
    ! [X0,X1,X2] :
      ( sQ49_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f3583,plain,
    ! [X0,X1,X2] :
      ( ~ sQ49_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3582]) ).

fof(f3585,plain,
    ( ~ sQ13_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f3581,f3582,f1367]) ).

fof(f3587,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3141,f184]) ).

fof(f3588,definition,
    ! [X0,X1,X2] :
      ( sQ50_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f3589,plain,
    ! [X0,X1,X2] :
      ( ~ sQ50_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3588]) ).

fof(f3591,plain,
    ( ~ sQ13_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f3587,f3588,f1367]) ).

fof(f3593,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3142,f184]) ).

fof(f3594,definition,
    ! [X0,X1,X2] :
      ( sQ51_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f3595,plain,
    ! [X0,X1,X2] :
      ( ~ sQ51_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3594]) ).

fof(f3597,plain,
    ( ~ sQ13_spl
    | sQ51_spl ),
    inference(split_clause,[status(thm)],[f3593,f3594,f1367]) ).

fof(f3599,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3149,f184]) ).

fof(f3600,definition,
    ! [X0,X1,X2] :
      ( sQ52_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f3601,plain,
    ! [X0,X1,X2] :
      ( ~ sQ52_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3600]) ).

fof(f3603,plain,
    ( ~ sQ13_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f3599,f3600,f1367]) ).

fof(f3605,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3155,f184]) ).

fof(f3606,definition,
    ! [X0,X1,X2] :
      ( sQ53_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f3607,plain,
    ! [X0,X1,X2] :
      ( ~ sQ53_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3606]) ).

fof(f3609,plain,
    ( ~ sQ13_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f3605,f3606,f1367]) ).

fof(f3611,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3232,f165]) ).

fof(f3614,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3254,f165]) ).

fof(f3617,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3291,f184]) ).

fof(f3618,definition,
    ! [X0,X1,X2] :
      ( sQ54_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f3619,plain,
    ! [X0,X1,X2] :
      ( ~ sQ54_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3618]) ).

fof(f3621,plain,
    ( ~ sQ13_spl
    | sQ54_spl ),
    inference(split_clause,[status(thm)],[f3617,f3618,f1367]) ).

fof(f3623,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3313,f184]) ).

fof(f3624,definition,
    ! [X0,X1,X2] :
      ( sQ55_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f3625,plain,
    ! [X0,X1,X2] :
      ( ~ sQ55_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3624]) ).

fof(f3627,plain,
    ( ~ sQ13_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f3623,f3624,f1367]) ).

fof(f3629,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3335,f184]) ).

fof(f3630,definition,
    ! [X0,X1,X2] :
      ( sQ56_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f3631,plain,
    ! [X0,X1,X2] :
      ( ~ sQ56_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f3630]) ).

fof(f3633,plain,
    ( ~ sQ13_spl
    | sQ56_spl ),
    inference(split_clause,[status(thm)],[f3629,f3630,f1367]) ).

fof(f3634,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,f16(X0,a,cx,ct)),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f3035]) ).

fof(f3635,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f291]) ).

fof(f3636,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f284]) ).

fof(f3637,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f282]) ).

fof(f3638,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f1148]) ).

fof(f3639,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f371]) ).

fof(f3640,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f366]) ).

fof(f3641,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f361]) ).

fof(f3642,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f356]) ).

fof(f3643,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f351]) ).

fof(f3644,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f346]) ).

fof(f3645,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f341]) ).

fof(f3646,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f432]) ).

fof(f3647,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f336]) ).

fof(f3648,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f331]) ).

fof(f3649,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f316]) ).

fof(f3650,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f312]) ).

fof(f3651,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f308]) ).

fof(f3652,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f278]) ).

fof(f3653,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f277]) ).

fof(f3654,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f16(X0,a,cx,ct)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f276]) ).

fof(f3655,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f16(X0,a,cx,ct)))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3381,f116]) ).

fof(f3656,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,f16(X0,a,cx,ct)),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f3035]) ).

fof(f3657,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f291]) ).

fof(f3658,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f284]) ).

fof(f3659,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f282]) ).

fof(f3660,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f1148]) ).

fof(f3661,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f371]) ).

fof(f3662,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f366]) ).

fof(f3663,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f361]) ).

fof(f3664,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f356]) ).

fof(f3665,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f351]) ).

fof(f3666,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f346]) ).

fof(f3667,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f341]) ).

fof(f3668,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f432]) ).

fof(f3669,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f336]) ).

fof(f3670,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f331]) ).

fof(f3671,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f316]) ).

fof(f3672,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f312]) ).

fof(f3673,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f308]) ).

fof(f3674,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f278]) ).

fof(f3675,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f277]) ).

fof(f3676,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f16(X0,a,cx,ct)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f276]) ).

fof(f3677,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3382,f116]) ).

fof(f3679,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3385,f184]) ).

fof(f3680,definition,
    ! [X0,X1,X2] :
      ( sQ57_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f3681,plain,
    ! [X0,X1,X2] :
      ( ~ sQ57_spl
      | ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3680]) ).

fof(f3683,plain,
    ( ~ sQ13_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f3679,f3680,f1367]) ).

fof(f3685,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3407,f184]) ).

fof(f3686,definition,
    ! [X0,X1,X2] :
      ( sQ58_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f3687,plain,
    ! [X0,X1,X2] :
      ( ~ sQ58_spl
      | ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3686]) ).

fof(f3689,plain,
    ( ~ sQ13_spl
    | sQ58_spl ),
    inference(split_clause,[status(thm)],[f3685,f3686,f1367]) ).

fof(f3691,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3429,f184]) ).

fof(f3692,definition,
    ! [X0,X1,X2] :
      ( sQ59_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f3693,plain,
    ! [X0,X1,X2] :
      ( ~ sQ59_spl
      | ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3692]) ).

fof(f3695,plain,
    ( ~ sQ13_spl
    | sQ59_spl ),
    inference(split_clause,[status(thm)],[f3691,f3692,f1367]) ).

fof(f3697,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3451,f184]) ).

fof(f3698,definition,
    ! [X0,X1,X2] :
      ( sQ60_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f3699,plain,
    ! [X0,X1,X2] :
      ( ~ sQ60_spl
      | ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f3698]) ).

fof(f3701,plain,
    ( ~ sQ13_spl
    | sQ60_spl ),
    inference(split_clause,[status(thm)],[f3697,f3698,f1367]) ).

fof(f3702,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f3035]) ).

fof(f3703,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f291]) ).

fof(f3704,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f284]) ).

fof(f3705,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f282]) ).

fof(f3706,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f1148]) ).

fof(f3707,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f371]) ).

fof(f3708,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f366]) ).

fof(f3709,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f361]) ).

fof(f3710,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f356]) ).

fof(f3711,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f351]) ).

fof(f3712,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f346]) ).

fof(f3713,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f341]) ).

fof(f3714,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f432]) ).

fof(f3715,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f336]) ).

fof(f3716,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f331]) ).

fof(f3717,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f316]) ).

fof(f3718,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f312]) ).

fof(f3719,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f308]) ).

fof(f3720,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f278]) ).

fof(f3721,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f277]) ).

fof(f3722,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f276]) ).

fof(f3723,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f116]) ).

fof(f3724,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f3035]) ).

fof(f3725,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f291]) ).

fof(f3726,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f284]) ).

fof(f3727,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f282]) ).

fof(f3728,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f1148]) ).

fof(f3729,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f371]) ).

fof(f3730,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f366]) ).

fof(f3731,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f361]) ).

fof(f3732,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f356]) ).

fof(f3733,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f351]) ).

fof(f3734,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f346]) ).

fof(f3735,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f341]) ).

fof(f3736,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f432]) ).

fof(f3737,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f336]) ).

fof(f3738,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f331]) ).

fof(f3739,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f316]) ).

fof(f3740,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f312]) ).

fof(f3741,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f308]) ).

fof(f3742,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f278]) ).

fof(f3743,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f277]) ).

fof(f3744,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f276]) ).

fof(f3745,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f116]) ).

fof(f3746,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f3035]) ).

fof(f3747,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f291]) ).

fof(f3748,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f284]) ).

fof(f3749,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f282]) ).

fof(f3750,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f1148]) ).

fof(f3751,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f371]) ).

fof(f3752,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f366]) ).

fof(f3753,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f361]) ).

fof(f3754,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f356]) ).

fof(f3755,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f351]) ).

fof(f3756,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f346]) ).

fof(f3757,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f341]) ).

fof(f3758,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f432]) ).

fof(f3759,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f336]) ).

fof(f3760,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f331]) ).

fof(f3761,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f316]) ).

fof(f3762,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f312]) ).

fof(f3763,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f308]) ).

fof(f3764,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f278]) ).

fof(f3765,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f277]) ).

fof(f3766,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f276]) ).

fof(f3767,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f116]) ).

fof(f3768,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f3035]) ).

fof(f3769,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f291]) ).

fof(f3770,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f284]) ).

fof(f3771,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f282]) ).

fof(f3772,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f1148]) ).

fof(f3773,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f371]) ).

fof(f3774,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f366]) ).

fof(f3775,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f361]) ).

fof(f3776,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f356]) ).

fof(f3777,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f351]) ).

fof(f3778,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f346]) ).

fof(f3779,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f341]) ).

fof(f3780,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f432]) ).

fof(f3781,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f336]) ).

fof(f3782,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f331]) ).

fof(f3783,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f316]) ).

fof(f3784,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f312]) ).

fof(f3785,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f308]) ).

fof(f3786,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f278]) ).

fof(f3787,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f277]) ).

fof(f3788,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f276]) ).

fof(f3789,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f116]) ).

fof(f3790,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f3035]) ).

fof(f3791,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f291]) ).

fof(f3792,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f284]) ).

fof(f3793,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f282]) ).

fof(f3794,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f1148]) ).

fof(f3795,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f371]) ).

fof(f3796,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f366]) ).

fof(f3797,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f361]) ).

fof(f3798,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f356]) ).

fof(f3799,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f351]) ).

fof(f3800,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f346]) ).

fof(f3801,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f341]) ).

fof(f3802,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f432]) ).

fof(f3803,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f336]) ).

fof(f3804,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f331]) ).

fof(f3805,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f316]) ).

fof(f3806,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f312]) ).

fof(f3807,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f308]) ).

fof(f3808,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f278]) ).

fof(f3809,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f277]) ).

fof(f3810,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f276]) ).

fof(f3811,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f116]) ).

fof(f3812,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f3035]) ).

fof(f3813,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f291]) ).

fof(f3814,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f284]) ).

fof(f3815,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f282]) ).

fof(f3816,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f1148]) ).

fof(f3817,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f371]) ).

fof(f3818,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f366]) ).

fof(f3819,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f361]) ).

fof(f3820,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f356]) ).

fof(f3821,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f351]) ).

fof(f3822,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f346]) ).

fof(f3823,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f341]) ).

fof(f3824,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f432]) ).

fof(f3825,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f336]) ).

fof(f3826,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f331]) ).

fof(f3827,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f316]) ).

fof(f3828,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f312]) ).

fof(f3829,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f308]) ).

fof(f3830,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f278]) ).

fof(f3831,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f277]) ).

fof(f3832,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f276]) ).

fof(f3833,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f116]) ).

fof(f3834,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f3035]) ).

fof(f3835,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f291]) ).

fof(f3836,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f284]) ).

fof(f3837,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f282]) ).

fof(f3838,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f1148]) ).

fof(f3839,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f371]) ).

fof(f3840,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f366]) ).

fof(f3841,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f361]) ).

fof(f3842,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f356]) ).

fof(f3843,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f351]) ).

fof(f3844,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f346]) ).

fof(f3845,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f341]) ).

fof(f3846,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f432]) ).

fof(f3847,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f336]) ).

fof(f3848,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f331]) ).

fof(f3849,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f316]) ).

fof(f3850,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f312]) ).

fof(f3851,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f308]) ).

fof(f3852,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f278]) ).

fof(f3853,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f277]) ).

fof(f3854,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f276]) ).

fof(f3855,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f116]) ).

fof(f3856,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f3035]) ).

fof(f3857,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f291]) ).

fof(f3858,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f284]) ).

fof(f3859,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f282]) ).

fof(f3860,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f1148]) ).

fof(f3861,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f371]) ).

fof(f3862,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f366]) ).

fof(f3863,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f361]) ).

fof(f3864,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f356]) ).

fof(f3865,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f351]) ).

fof(f3866,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f346]) ).

fof(f3867,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f341]) ).

fof(f3868,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f432]) ).

fof(f3869,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f336]) ).

fof(f3870,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f331]) ).

fof(f3871,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f316]) ).

fof(f3872,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f312]) ).

fof(f3873,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f308]) ).

fof(f3874,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f278]) ).

fof(f3875,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f277]) ).

fof(f3876,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f276]) ).

fof(f3877,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f116]) ).

fof(f3878,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f3035]) ).

fof(f3879,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f291]) ).

fof(f3880,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f284]) ).

fof(f3881,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f282]) ).

fof(f3882,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f1148]) ).

fof(f3883,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f371]) ).

fof(f3884,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f366]) ).

fof(f3885,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f361]) ).

fof(f3886,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f356]) ).

fof(f3887,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f351]) ).

fof(f3888,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f346]) ).

fof(f3889,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f341]) ).

fof(f3890,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f432]) ).

fof(f3891,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f336]) ).

fof(f3892,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f331]) ).

fof(f3893,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f316]) ).

fof(f3894,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f312]) ).

fof(f3895,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f308]) ).

fof(f3896,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f278]) ).

fof(f3897,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f277]) ).

fof(f3898,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f276]) ).

fof(f3899,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f116]) ).

fof(f3900,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f3035]) ).

fof(f3901,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f291]) ).

fof(f3902,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f284]) ).

fof(f3903,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f282]) ).

fof(f3904,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f1148]) ).

fof(f3905,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f371]) ).

fof(f3906,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f366]) ).

fof(f3907,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f361]) ).

fof(f3908,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f356]) ).

fof(f3909,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f351]) ).

fof(f3910,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f346]) ).

fof(f3911,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f341]) ).

fof(f3912,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f432]) ).

fof(f3913,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f336]) ).

fof(f3914,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f331]) ).

fof(f3915,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f316]) ).

fof(f3916,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f312]) ).

fof(f3917,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f308]) ).

fof(f3918,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f278]) ).

fof(f3919,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f277]) ).

fof(f3920,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f276]) ).

fof(f3921,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f116]) ).

fof(f3922,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f3035]) ).

fof(f3923,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f291]) ).

fof(f3924,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f284]) ).

fof(f3925,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f282]) ).

fof(f3926,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f1148]) ).

fof(f3927,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f371]) ).

fof(f3928,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f366]) ).

fof(f3929,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f361]) ).

fof(f3930,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f356]) ).

fof(f3931,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f351]) ).

fof(f3932,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f346]) ).

fof(f3933,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f341]) ).

fof(f3934,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f432]) ).

fof(f3935,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f336]) ).

fof(f3936,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f331]) ).

fof(f3937,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f316]) ).

fof(f3938,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f312]) ).

fof(f3939,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f308]) ).

fof(f3940,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f278]) ).

fof(f3941,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f277]) ).

fof(f3942,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f276]) ).

fof(f3943,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f116]) ).

fof(f3944,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f3035]) ).

fof(f3945,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f291]) ).

fof(f3946,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f284]) ).

fof(f3947,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f282]) ).

fof(f3948,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f1148]) ).

fof(f3949,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f371]) ).

fof(f3950,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f366]) ).

fof(f3951,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f361]) ).

fof(f3952,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f356]) ).

fof(f3953,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f351]) ).

fof(f3954,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f346]) ).

fof(f3955,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f341]) ).

fof(f3956,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f432]) ).

fof(f3957,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f336]) ).

fof(f3958,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f331]) ).

fof(f3959,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f316]) ).

fof(f3960,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f312]) ).

fof(f3961,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f308]) ).

fof(f3962,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f278]) ).

fof(f3963,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f277]) ).

fof(f3964,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f276]) ).

fof(f3965,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f116]) ).

fof(f3966,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f3035]) ).

fof(f3967,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f291]) ).

fof(f3968,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f284]) ).

fof(f3969,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f282]) ).

fof(f3970,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f1148]) ).

fof(f3971,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f371]) ).

fof(f3972,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f366]) ).

fof(f3973,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f361]) ).

fof(f3974,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f356]) ).

fof(f3975,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f351]) ).

fof(f3976,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f346]) ).

fof(f3977,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f341]) ).

fof(f3978,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f432]) ).

fof(f3979,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f336]) ).

fof(f3980,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f331]) ).

fof(f3981,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f316]) ).

fof(f3982,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f312]) ).

fof(f3983,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f308]) ).

fof(f3984,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f278]) ).

fof(f3985,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f277]) ).

fof(f3986,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f276]) ).

fof(f3987,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f116]) ).

fof(f3988,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f3035]) ).

fof(f3989,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f291]) ).

fof(f3990,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f284]) ).

fof(f3991,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f282]) ).

fof(f3992,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f1148]) ).

fof(f3993,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f371]) ).

fof(f3994,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f366]) ).

fof(f3995,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f361]) ).

fof(f3996,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f356]) ).

fof(f3997,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f351]) ).

fof(f3998,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f346]) ).

fof(f3999,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f341]) ).

fof(f4000,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f432]) ).

fof(f4001,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f336]) ).

fof(f4002,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f331]) ).

fof(f4003,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f316]) ).

fof(f4004,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f312]) ).

fof(f4005,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f308]) ).

fof(f4006,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f278]) ).

fof(f4007,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f277]) ).

fof(f4008,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f276]) ).

fof(f4009,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f116]) ).

fof(f4010,plain,
    ! [X0,X1] :
      ( open(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f3035]) ).

fof(f4011,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f291]) ).

fof(f4012,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f284]) ).

fof(f4013,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f282]) ).

fof(f4014,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f1148]) ).

fof(f4015,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f371]) ).

fof(f4016,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f366]) ).

fof(f4017,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f361]) ).

fof(f4018,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f356]) ).

fof(f4019,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f351]) ).

fof(f4020,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f346]) ).

fof(f4021,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f341]) ).

fof(f4022,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f432]) ).

fof(f4023,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f336]) ).

fof(f4024,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f331]) ).

fof(f4025,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f316]) ).

fof(f4026,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f312]) ).

fof(f4027,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f308]) ).

fof(f4028,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f278]) ).

fof(f4029,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f277]) ).

fof(f4030,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f276]) ).

fof(f4031,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f116]) ).

fof(f4032,plain,
    ! [X0,X1] :
      ( open(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)),cx,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f3035]) ).

fof(f4033,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f291]) ).

fof(f4034,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f284]) ).

fof(f4035,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f282]) ).

fof(f4036,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f1148]) ).

fof(f4037,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f371]) ).

fof(f4038,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f366]) ).

fof(f4039,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f361]) ).

fof(f4040,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f356]) ).

fof(f4041,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f351]) ).

fof(f4042,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f346]) ).

fof(f4043,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f341]) ).

fof(f4044,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f432]) ).

fof(f4045,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f336]) ).

fof(f4046,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f331]) ).

fof(f4047,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f316]) ).

fof(f4048,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f312]) ).

fof(f4049,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f308]) ).

fof(f4050,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f278]) ).

fof(f4051,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f277]) ).

fof(f4052,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f276]) ).

fof(f4053,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2340,f116]) ).

fof(f4054,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | disjoint_s(f17(cx,ct,f11(X0,cx),f11(X1,cx)),f18(cx,ct,f11(X0,cx),f11(X1,cx)))
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3477,f165]) ).

fof(f4055,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f18(cx,ct,f11(X0,cx),f11(X1,cx)),f11(X1,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3478,f165]) ).

fof(f4056,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f17(cx,ct,f11(X0,cx),f11(X1,cx)),f11(X0,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3479,f165]) ).

fof(f4061,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3026,f116]) ).

fof(f4062,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X1,X4,X0)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3029,f116]) ).

fof(f4065,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),closure(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f3034]) ).

fof(f4066,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),closure(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f3032]) ).

fof(f4067,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f16(X1,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f3199,f3357]) ).

fof(f4068,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3199,f3203]) ).

fof(f4069,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f3201]) ).

fof(f4070,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(X1,X3),top_of_basis(X2))
      | element_of_set(X3,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,f11(X2,f2(X1,X3)))) ),
    inference(resolution,[status(thm)],[f3199,f1159]) ).

fof(f4071,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,f11(X2,union_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f3199,f1083]) ).

fof(f4076,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f2(X1,X2)) ),
    inference(resolution,[status(thm)],[f3199,f119]) ).

fof(f4077,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))) ),
    inference(resolution,[status(thm)],[f3199,f2340]) ).

fof(f4078,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f3199,f2339]) ).

fof(f4079,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)) ),
    inference(resolution,[status(thm)],[f3199,f2452]) ).

fof(f4080,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f2451]) ).

fof(f4081,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f2300]) ).

fof(f4082,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f2299]) ).

fof(f4083,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f2154]) ).

fof(f4084,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f2153]) ).

fof(f4085,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f2012]) ).

fof(f4086,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f2011]) ).

fof(f4087,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f581]) ).

fof(f4088,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f580]) ).

fof(f4089,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f573]) ).

fof(f4090,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f572]) ).

fof(f4091,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)) ),
    inference(resolution,[status(thm)],[f3199,f583]) ).

fof(f4092,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f582]) ).

fof(f4093,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f531]) ).

fof(f4094,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f530]) ).

fof(f4095,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f523]) ).

fof(f4096,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f522]) ).

fof(f4097,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)) ),
    inference(resolution,[status(thm)],[f3199,f533]) ).

fof(f4098,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f532]) ).

fof(f4099,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f2776]) ).

fof(f4100,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f2569]) ).

fof(f4101,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f2565]) ).

fof(f4102,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f2538]) ).

fof(f4103,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))) ),
    inference(resolution,[status(thm)],[f3199,f2537]) ).

fof(f4104,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f2486]) ).

fof(f4105,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)) ),
    inference(resolution,[status(thm)],[f3199,f2599]) ).

fof(f4106,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f2598]) ).

fof(f4107,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)) ),
    inference(resolution,[status(thm)],[f3199,f1874]) ).

fof(f4108,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f1873]) ).

fof(f4109,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)) ),
    inference(resolution,[status(thm)],[f3199,f1610]) ).

fof(f4110,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f1609]) ).

fof(f4111,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f457]) ).

fof(f4112,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f456]) ).

fof(f4113,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f449]) ).

fof(f4114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f448]) ).

fof(f4115,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f459]) ).

fof(f4116,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f458]) ).

fof(f4117,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f2901]) ).

fof(f4118,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)) ),
    inference(resolution,[status(thm)],[f3199,f1740]) ).

fof(f4119,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f1739]) ).

fof(f4120,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)) ),
    inference(resolution,[status(thm)],[f3199,f1484]) ).

fof(f4121,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f1483]) ).

fof(f4122,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f419]) ).

fof(f4123,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f418]) ).

fof(f4124,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f411]) ).

fof(f4125,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f410]) ).

fof(f4126,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f421]) ).

fof(f4127,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f420]) ).

fof(f4128,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f3199,f1145]) ).

fof(f4129,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),f2(ct,X2))) ),
    inference(resolution,[status(thm)],[f3199,f318]) ).

fof(f4130,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))) ),
    inference(resolution,[status(thm)],[f3199,f429]) ).

fof(f4131,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))) ),
    inference(resolution,[status(thm)],[f3199,f333]) ).

fof(f4132,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f328]) ).

fof(f4133,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f2728]) ).

fof(f4134,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f2690]) ).

fof(f4135,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f2614]) ).

fof(f4136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f323]) ).

fof(f4137,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))) ),
    inference(resolution,[status(thm)],[f3199,f322]) ).

fof(f4138,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f325]) ).

fof(f4139,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f324]) ).

fof(f4140,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f2652]) ).

fof(f4141,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f2633]) ).

fof(f4142,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f2709]) ).

fof(f4143,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f2671]) ).

fof(f4144,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))) ),
    inference(resolution,[status(thm)],[f3199,f338]) ).

fof(f4145,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))) ),
    inference(resolution,[status(thm)],[f3199,f319]) ).

fof(f4146,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f321]) ).

fof(f4147,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f320]) ).

fof(f4148,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),cx)) ),
    inference(resolution,[status(thm)],[f3199,f327]) ).

fof(f4149,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f326]) ).

fof(f4150,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f16(X1,a,cx,ct))) ),
    inference(resolution,[status(thm)],[f3199,f3381]) ).

fof(f4151,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f3251]) ).

fof(f4152,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f3229]) ).

fof(f4153,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f3199,f1146]) ).

fof(f4154,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))) ),
    inference(resolution,[status(thm)],[f3199,f598]) ).

fof(f4155,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f589]) ).

fof(f4156,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))) ),
    inference(resolution,[status(thm)],[f3199,f546]) ).

fof(f4157,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f538]) ).

fof(f4158,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))) ),
    inference(resolution,[status(thm)],[f3199,f491]) ).

fof(f4159,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f484]) ).

fof(f4160,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))) ),
    inference(resolution,[status(thm)],[f3199,f477]) ).

fof(f4161,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f424]) ).

fof(f4162,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))) ),
    inference(resolution,[status(thm)],[f3199,f430]) ).

fof(f4163,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f374]) ).

fof(f4164,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f369]) ).

fof(f4165,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f364]) ).

fof(f4166,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f359]) ).

fof(f4167,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))) ),
    inference(resolution,[status(thm)],[f3199,f334]) ).

fof(f4168,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f329]) ).

fof(f4169,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f286]) ).

fof(f4170,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f285]) ).

fof(f4171,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(resolution,[status(thm)],[f3199,f394]) ).

fof(f4172,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f384]) ).

fof(f4173,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f354]) ).

fof(f4174,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f344]) ).

fof(f4175,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f314]) ).

fof(f4176,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f292]) ).

fof(f4177,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f289]) ).

fof(f4178,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(resolution,[status(thm)],[f3199,f389]) ).

fof(f4179,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f379]) ).

fof(f4180,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f349]) ).

fof(f4181,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f339]) ).

fof(f4182,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f310]) ).

fof(f4183,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f306]) ).

fof(f4184,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx)) ),
    inference(resolution,[status(thm)],[f3199,f288]) ).

fof(f4185,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f287]) ).

fof(f4186,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))) ),
    inference(resolution,[status(thm)],[f3199,f3382]) ).

fof(f4187,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f3252]) ).

fof(f4188,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f3230]) ).

fof(f4189,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f3199,f1147]) ).

fof(f4190,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f307]) ).

fof(f4191,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))) ),
    inference(resolution,[status(thm)],[f3199,f599]) ).

fof(f4192,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f590]) ).

fof(f4193,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))) ),
    inference(resolution,[status(thm)],[f3199,f547]) ).

fof(f4194,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f539]) ).

fof(f4195,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))) ),
    inference(resolution,[status(thm)],[f3199,f492]) ).

fof(f4196,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f485]) ).

fof(f4197,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))) ),
    inference(resolution,[status(thm)],[f3199,f478]) ).

fof(f4198,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f425]) ).

fof(f4199,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))) ),
    inference(resolution,[status(thm)],[f3199,f431]) ).

fof(f4200,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f375]) ).

fof(f4201,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f370]) ).

fof(f4202,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f365]) ).

fof(f4203,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f360]) ).

fof(f4204,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))) ),
    inference(resolution,[status(thm)],[f3199,f335]) ).

fof(f4205,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f330]) ).

fof(f4206,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f293]) ).

fof(f4207,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f290]) ).

fof(f4208,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(resolution,[status(thm)],[f3199,f390]) ).

fof(f4209,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f380]) ).

fof(f4210,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f350]) ).

fof(f4211,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f340]) ).

fof(f4212,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f311]) ).

fof(f4213,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f283]) ).

fof(f4214,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(resolution,[status(thm)],[f3199,f395]) ).

fof(f4215,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f385]) ).

fof(f4216,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f355]) ).

fof(f4217,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(resolution,[status(thm)],[f3199,f345]) ).

fof(f4218,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f315]) ).

fof(f4219,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f281]) ).

fof(f4220,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx)) ),
    inference(resolution,[status(thm)],[f3199,f280]) ).

fof(f4221,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f279]) ).

fof(f4222,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),empty_set) ),
    inference(resolution,[status(thm)],[f3199,f275]) ).

fof(f4223,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f3199,f274]) ).

fof(f4224,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4065,f188]) ).

fof(f4225,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4066,f186]) ).

fof(f4229,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),intersection_of_members(top_of_basis(X4)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f4224,f3199]) ).

fof(f4230,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,intersection_of_members(top_of_basis(X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f4224,f116]) ).

fof(f4231,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ33_spl
      | ~ element_of_set(X3,f1(ct,f11(X2,union_of_members(ct))))
      | ~ subset_sets(X4,cx)
      | element_of_set(X3,interior(X4,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4224,f3483]) ).

fof(f4232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ25_spl
      | ~ element_of_set(X3,f2(ct,X2))
      | ~ subset_sets(X4,cx)
      | element_of_set(X3,interior(X4,cx,ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4224,f3208]) ).

fof(f4233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f16(X2,X3,cx,ct),X3),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X2,X3,cx,ct),X3)),X2)
      | limit_point(X2,X3,cx,ct)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4224,f2337]) ).

fof(f4234,plain,
    ! [X0,X1,X2,X3] :
      ( closed(f14(X3,cx,ct,X2),cx,ct)
      | element_of_set(X2,closure(X3,cx,ct))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4224,f1157]) ).

fof(f4235,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f16(X2,X3,cx,ct),X2,cx,ct)
      | limit_point(X2,X3,cx,ct)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4224,f1151]) ).

fof(f4236,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X3,f14(X3,cx,ct,X2))
      | element_of_set(X2,closure(X3,cx,ct))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4224,f1150]) ).

fof(f4237,definition,
    ! [X0,X1] :
      ( sQ61_spl
    <=> subset_sets(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f4238,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f4237]) ).

fof(f4240,definition,
    ! [X2,X3,X4] :
      ( sQ62_spl
    <=> ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
        | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),intersection_of_members(top_of_basis(X4))) ) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f4241,plain,
    ! [X0,X1,X2] :
      ( ~ sQ62_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),intersection_of_members(top_of_basis(X2))) ),
    inference(component_clause,[status(thm)],[f4240]) ).

fof(f4243,plain,
    ( sQ62_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f4229,f4237,f4240]) ).

fof(f4244,definition,
    ! [X2,X3,X4] :
      ( sQ63_spl
    <=> ( ~ element_of_set(X2,intersection_of_members(top_of_basis(X4)))
        | element_of_set(X2,union_of_members(top_of_basis(X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f4245,plain,
    ! [X0,X1,X2] :
      ( ~ sQ63_spl
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X2)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f4244]) ).

fof(f4247,plain,
    ( sQ63_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f4230,f4237,f4244]) ).

fof(f4248,definition,
    ! [X0,X1] :
      ( sQ64_spl
    <=> element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f4249,plain,
    ! [X0,X1] :
      ( ~ sQ64_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f4248]) ).

fof(f4251,definition,
    ! [X2,X3,X4] :
      ( sQ65_spl
    <=> ( ~ element_of_set(X3,f1(ct,f11(X2,union_of_members(ct))))
        | ~ subset_sets(X4,cx)
        | element_of_set(X3,interior(X4,cx,ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f4254,plain,
    ( ~ sQ33_spl
    | sQ65_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4231,f4248,f4251,f3482]) ).

fof(f4255,definition,
    ! [X2,X3,X4] :
      ( sQ66_spl
    <=> ( ~ element_of_set(X3,f2(ct,X2))
        | ~ subset_sets(X4,cx)
        | element_of_set(X3,interior(X4,cx,ct))
        | element_of_set(X2,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f4258,plain,
    ( ~ sQ25_spl
    | sQ66_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4232,f4248,f4255,f3207]) ).

fof(f4259,definition,
    ! [X2,X3,X4] :
      ( sQ67_spl
    <=> ( element_of_collection(intersection_of_sets(f16(X2,X3,cx,ct),X3),top_of_basis(X4))
        | eq_p(f11(X4,intersection_of_sets(f16(X2,X3,cx,ct),X3)),X2)
        | limit_point(X2,X3,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f4260,plain,
    ! [X0,X1,X2] :
      ( ~ sQ67_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,ct),X1),top_of_basis(X2))
      | eq_p(f11(X2,intersection_of_sets(f16(X0,X1,cx,ct),X1)),X0)
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f4259]) ).

fof(f4262,plain,
    ( sQ67_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4233,f4248,f4259]) ).

fof(f4263,definition,
    ! [X2,X3] :
      ( sQ68_spl
    <=> ( closed(f14(X3,cx,ct,X2),cx,ct)
        | element_of_set(X2,closure(X3,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f4264,plain,
    ! [X0,X1] :
      ( ~ sQ68_spl
      | closed(f14(X1,cx,ct,X0),cx,ct)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f4263]) ).

fof(f4266,plain,
    ( sQ68_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4234,f4248,f4263]) ).

fof(f4267,definition,
    ! [X2,X3] :
      ( sQ69_spl
    <=> ( neighborhood(f16(X2,X3,cx,ct),X2,cx,ct)
        | limit_point(X2,X3,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f4268,plain,
    ! [X0,X1] :
      ( ~ sQ69_spl
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f4267]) ).

fof(f4270,plain,
    ( sQ69_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4235,f4248,f4267]) ).

fof(f4271,definition,
    ! [X2,X3] :
      ( sQ70_spl
    <=> ( subset_sets(X3,f14(X3,cx,ct,X2))
        | element_of_set(X2,closure(X3,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f4272,plain,
    ! [X0,X1] :
      ( ~ sQ70_spl
      | subset_sets(X1,f14(X1,cx,ct,X0))
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f4271]) ).

fof(f4274,plain,
    ( sQ70_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4236,f4248,f4271]) ).

fof(f4275,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),intersection_of_members(top_of_basis(X4)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f4225,f3199]) ).

fof(f4276,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,intersection_of_members(top_of_basis(X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f4225,f116]) ).

fof(f4277,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(X2),X3)
      | ~ subset_collections(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f128]) ).

fof(f4278,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(X2,X4)
      | open(X2,X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f140]) ).

fof(f4279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f16(X2,X3,X4,X5),X3),top_of_basis(X6))
      | eq_p(f11(X6,intersection_of_sets(f16(X2,X3,X4,X5),X3)),X2)
      | ~ subset_sets(X3,X4)
      | limit_point(X2,X3,X4,X5)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f1382]) ).

fof(f4280,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( closed(f14(X3,X4,X5,X2),X4,X5)
      | ~ subset_sets(X3,X4)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f192]) ).

fof(f4281,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( neighborhood(f16(X2,X3,X4,X5),X2,X4,X5)
      | ~ subset_sets(X3,X4)
      | limit_point(X2,X3,X4,X5)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f208]) ).

fof(f4282,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,f14(X3,X4,X5,X2))
      | ~ subset_sets(X3,X4)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f191]) ).

fof(f4283,plain,
    ! [X0,X1,X2,X3] :
      ( separation(f21(X2,X3),f22(X2,X3),X2,X3)
      | connected_space(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f244]) ).

fof(f4284,plain,
    ! [X0,X1,X2,X3] :
      ( open_covering(f24(X2,X3),X2,X3)
      | compact_space(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f263]) ).

fof(f4285,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f20(X2,X3),X2)
      | hausdorff(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f221]) ).

fof(f4286,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f19(X2,X3),X2)
      | hausdorff(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f220]) ).

fof(f4287,plain,
    ! [X0,X1,X2,X3] :
      ( equal_sets(union_of_members(X2),X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f121]) ).

fof(f4288,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(X2,X4),X3)
      | ~ element_of_collection(X4,X3)
      | ~ element_of_collection(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f126]) ).

fof(f4289,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,X2)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f123]) ).

fof(f4290,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4225,f124]) ).

fof(f4291,definition,
    ! [X0,X1] :
      ( sQ71_spl
    <=> topological_space(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f4292,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f4291]) ).

fof(f4294,plain,
    ( sQ62_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f4275,f4291,f4240]) ).

fof(f4295,plain,
    ( sQ63_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f4276,f4291,f4244]) ).

fof(f4296,definition,
    ! [X2,X3] :
      ( sQ72_spl
    <=> ( element_of_collection(union_of_members(X2),X3)
        | ~ subset_collections(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f4297,plain,
    ! [X0,X1] :
      ( ~ sQ72_spl
      | element_of_collection(union_of_members(X0),X1)
      | ~ subset_collections(X0,X1) ),
    inference(component_clause,[status(thm)],[f4296]) ).

fof(f4299,plain,
    ( sQ72_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4277,f4248,f4296]) ).

fof(f4300,definition,
    ! [X2,X3,X4] :
      ( sQ73_spl
    <=> ( ~ element_of_collection(X2,X4)
        | open(X2,X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f4303,plain,
    ( sQ73_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4278,f4248,f4300]) ).

fof(f4304,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ74_spl
    <=> ( element_of_collection(intersection_of_sets(f16(X2,X3,X4,X5),X3),top_of_basis(X6))
        | eq_p(f11(X6,intersection_of_sets(f16(X2,X3,X4,X5),X3)),X2)
        | ~ subset_sets(X3,X4)
        | limit_point(X2,X3,X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f4307,plain,
    ( sQ74_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4279,f4248,f4304]) ).

fof(f4308,definition,
    ! [X2,X3,X4,X5] :
      ( sQ75_spl
    <=> ( closed(f14(X3,X4,X5,X2),X4,X5)
        | ~ subset_sets(X3,X4)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f4311,plain,
    ( sQ75_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4280,f4248,f4308]) ).

fof(f4312,definition,
    ! [X2,X3,X4,X5] :
      ( sQ76_spl
    <=> ( neighborhood(f16(X2,X3,X4,X5),X2,X4,X5)
        | ~ subset_sets(X3,X4)
        | limit_point(X2,X3,X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f4315,plain,
    ( sQ76_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4281,f4248,f4312]) ).

fof(f4316,definition,
    ! [X2,X3,X4,X5] :
      ( sQ77_spl
    <=> ( subset_sets(X3,f14(X3,X4,X5,X2))
        | ~ subset_sets(X3,X4)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f4319,plain,
    ( sQ77_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4282,f4248,f4316]) ).

fof(f4320,definition,
    ! [X2,X3] :
      ( sQ78_spl
    <=> ( separation(f21(X2,X3),f22(X2,X3),X2,X3)
        | connected_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f4323,plain,
    ( sQ78_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4283,f4248,f4320]) ).

fof(f4324,definition,
    ! [X2,X3] :
      ( sQ79_spl
    <=> ( open_covering(f24(X2,X3),X2,X3)
        | compact_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f4327,plain,
    ( sQ79_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4284,f4248,f4324]) ).

fof(f4328,definition,
    ! [X2,X3] :
      ( sQ80_spl
    <=> ( element_of_set(f20(X2,X3),X2)
        | hausdorff(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f4331,plain,
    ( sQ80_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4285,f4248,f4328]) ).

fof(f4332,definition,
    ! [X2,X3] :
      ( sQ81_spl
    <=> ( element_of_set(f19(X2,X3),X2)
        | hausdorff(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f4335,plain,
    ( sQ81_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4286,f4248,f4332]) ).

fof(f4336,definition,
    ! [X2,X3] :
      ( sQ82_spl
    <=> equal_sets(union_of_members(X2),X3) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f4339,plain,
    ( sQ82_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4287,f4248,f4336]) ).

fof(f4340,definition,
    ! [X2,X3,X4] :
      ( sQ83_spl
    <=> ( element_of_collection(intersection_of_sets(X2,X4),X3)
        | ~ element_of_collection(X4,X3)
        | ~ element_of_collection(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f4341,plain,
    ! [X0,X1,X2] :
      ( ~ sQ83_spl
      | element_of_collection(intersection_of_sets(X0,X2),X1)
      | ~ element_of_collection(X2,X1)
      | ~ element_of_collection(X0,X1) ),
    inference(component_clause,[status(thm)],[f4340]) ).

fof(f4343,plain,
    ( sQ83_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4288,f4248,f4340]) ).

fof(f4344,definition,
    ! [X2] :
      ( sQ84_spl
    <=> element_of_collection(empty_set,X2) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f4345,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | element_of_collection(empty_set,X0) ),
    inference(component_clause,[status(thm)],[f4344]) ).

fof(f4347,plain,
    ( sQ84_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4289,f4248,f4344]) ).

fof(f4348,definition,
    ! [X2,X3] :
      ( sQ85_spl
    <=> element_of_collection(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f4351,plain,
    ( sQ85_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f4290,f4248,f4348]) ).

fof(f4352,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4222,f304]) ).

fof(f4353,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X1,cx),f11(X0,intersection_of_members(ct))),f11(X1,cx),cx,ct)
      | eq_p(f11(X1,cx),f11(X0,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4223,f3479]) ).

fof(f4354,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X1,cx),f11(X0,intersection_of_members(ct))),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X1,cx),f11(X0,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4223,f3478]) ).

fof(f4355,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X1,cx),f11(X0,intersection_of_members(ct))),f18(cx,ct,f11(X1,cx),f11(X0,intersection_of_members(ct))))
      | eq_p(f11(X1,cx),f11(X0,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4223,f3477]) ).

fof(f4356,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),X1),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),X1)
      | ~ element_of_set(X1,cx)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4223,f2477]) ).

fof(f4357,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),X1),X1,cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),X1)
      | ~ element_of_set(X1,cx)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4223,f2476]) ).

fof(f4358,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),X1),f18(cx,ct,f11(X0,intersection_of_members(ct)),X1))
      | eq_p(f11(X0,intersection_of_members(ct)),X1)
      | ~ element_of_set(X1,cx)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4223,f2475]) ).

fof(f4364,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4352,f114]) ).

fof(f4365,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4352,f113]) ).

fof(f4369,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f3035]) ).

fof(f4370,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f291]) ).

fof(f4371,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f284]) ).

fof(f4372,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f282]) ).

fof(f4373,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f1148]) ).

fof(f4374,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f371]) ).

fof(f4375,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f366]) ).

fof(f4376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f361]) ).

fof(f4377,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f356]) ).

fof(f4378,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f351]) ).

fof(f4379,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f346]) ).

fof(f4380,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f341]) ).

fof(f4381,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f432]) ).

fof(f4382,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f336]) ).

fof(f4383,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f331]) ).

fof(f4384,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f316]) ).

fof(f4385,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f312]) ).

fof(f4386,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f308]) ).

fof(f4387,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f278]) ).

fof(f4388,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f277]) ).

fof(f4389,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,intersection_of_members(ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f276]) ).

fof(f4390,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f3199]) ).

fof(f4391,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4364,f116]) ).

fof(f4393,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4076,f309]) ).

fof(f4395,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f4393]) ).

fof(f4396,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,X2)
      | ~ element_of_collection(X2,X0)
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4395,f118]) ).

fof(f4399,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4395,f114]) ).

fof(f4400,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4395,f113]) ).

fof(f4402,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,intersection_of_members(ct))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4369,f184]) ).

fof(f4403,definition,
    ! [X0,X1,X2] :
      ( sQ86_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,intersection_of_members(ct))),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f4404,plain,
    ! [X0,X1,X2] :
      ( ~ sQ86_spl
      | ~ subset_sets(f1(ct,f11(X0,intersection_of_members(ct))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4403]) ).

fof(f4406,plain,
    ( ~ sQ13_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f4402,f4403,f1367]) ).

fof(f4407,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,X2)
      | ~ element_of_collection(X2,X0)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4399,f118]) ).

fof(f4410,plain,
    ! [X0,X1] :
      ( open(f1(ct,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f3035]) ).

fof(f4411,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f291]) ).

fof(f4412,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f284]) ).

fof(f4413,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f282]) ).

fof(f4414,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f1148]) ).

fof(f4415,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f371]) ).

fof(f4416,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f366]) ).

fof(f4417,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f361]) ).

fof(f4418,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f356]) ).

fof(f4419,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f351]) ).

fof(f4420,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f346]) ).

fof(f4421,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f341]) ).

fof(f4422,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f432]) ).

fof(f4423,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f336]) ).

fof(f4424,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f331]) ).

fof(f4425,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f316]) ).

fof(f4426,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f312]) ).

fof(f4427,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f308]) ).

fof(f4428,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f278]) ).

fof(f4429,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f277]) ).

fof(f4430,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,intersection_of_members(ct))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4399,f276]) ).

fof(f4431,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4399,f3199]) ).

fof(f4432,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4399,f116]) ).

fof(f4433,definition,
    ! [X0] :
      ( sQ87_spl
    <=> ( open(f1(ct,f11(X0,intersection_of_members(ct))),cx,ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f4436,definition,
    ! [X1] :
      ( sQ88_spl
    <=> element_of_set(X1,intersection_of_members(ct)) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f4437,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f4436]) ).

fof(f4439,plain,
    ( sQ88_spl
    | sQ87_spl ),
    inference(split_clause,[status(thm)],[f4410,f4433,f4436]) ).

fof(f4440,definition,
    ! [X0] :
      ( sQ89_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f4441,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4440]) ).

fof(f4443,plain,
    ( sQ88_spl
    | sQ89_spl ),
    inference(split_clause,[status(thm)],[f4411,f4440,f4436]) ).

fof(f4444,definition,
    ! [X0] :
      ( sQ90_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f4445,plain,
    ! [X0] :
      ( ~ sQ90_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4444]) ).

fof(f4447,plain,
    ( sQ88_spl
    | sQ90_spl ),
    inference(split_clause,[status(thm)],[f4412,f4444,f4436]) ).

fof(f4448,definition,
    ! [X0] :
      ( sQ91_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f4449,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4448]) ).

fof(f4451,plain,
    ( sQ88_spl
    | sQ91_spl ),
    inference(split_clause,[status(thm)],[f4413,f4448,f4436]) ).

fof(f4452,definition,
    ! [X0,X2] :
      ( sQ92_spl
    <=> ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).

fof(f4453,plain,
    ! [X0,X1] :
      ( ~ sQ92_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4452]) ).

fof(f4455,plain,
    ( sQ88_spl
    | sQ92_spl ),
    inference(split_clause,[status(thm)],[f4414,f4452,f4436]) ).

fof(f4456,definition,
    ! [X0,X2] :
      ( sQ93_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f4457,plain,
    ! [X0,X1] :
      ( ~ sQ93_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4456]) ).

fof(f4459,plain,
    ( sQ88_spl
    | sQ93_spl ),
    inference(split_clause,[status(thm)],[f4415,f4456,f4436]) ).

fof(f4460,definition,
    ! [X0,X2] :
      ( sQ94_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f4461,plain,
    ! [X0,X1] :
      ( ~ sQ94_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4460]) ).

fof(f4463,plain,
    ( sQ88_spl
    | sQ94_spl ),
    inference(split_clause,[status(thm)],[f4416,f4460,f4436]) ).

fof(f4464,definition,
    ! [X0,X2] :
      ( sQ95_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f4465,plain,
    ! [X0,X1] :
      ( ~ sQ95_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4464]) ).

fof(f4467,plain,
    ( sQ88_spl
    | sQ95_spl ),
    inference(split_clause,[status(thm)],[f4417,f4464,f4436]) ).

fof(f4468,definition,
    ! [X0,X2] :
      ( sQ96_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f4469,plain,
    ! [X0,X1] :
      ( ~ sQ96_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4468]) ).

fof(f4471,plain,
    ( sQ88_spl
    | sQ96_spl ),
    inference(split_clause,[status(thm)],[f4418,f4468,f4436]) ).

fof(f4472,definition,
    ! [X0,X2] :
      ( sQ97_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f4473,plain,
    ! [X0,X1] :
      ( ~ sQ97_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4472]) ).

fof(f4475,plain,
    ( sQ88_spl
    | sQ97_spl ),
    inference(split_clause,[status(thm)],[f4419,f4472,f4436]) ).

fof(f4476,definition,
    ! [X0,X2] :
      ( sQ98_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f4477,plain,
    ! [X0,X1] :
      ( ~ sQ98_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4476]) ).

fof(f4479,plain,
    ( sQ88_spl
    | sQ98_spl ),
    inference(split_clause,[status(thm)],[f4420,f4476,f4436]) ).

fof(f4480,definition,
    ! [X0,X2] :
      ( sQ99_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).

fof(f4481,plain,
    ! [X0,X1] :
      ( ~ sQ99_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4480]) ).

fof(f4483,plain,
    ( sQ88_spl
    | sQ99_spl ),
    inference(split_clause,[status(thm)],[f4421,f4480,f4436]) ).

fof(f4484,definition,
    ! [X0,X2,X3] :
      ( sQ100_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).

fof(f4485,plain,
    ! [X0,X1,X2] :
      ( ~ sQ100_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4484]) ).

fof(f4487,plain,
    ( sQ88_spl
    | sQ100_spl ),
    inference(split_clause,[status(thm)],[f4422,f4484,f4436]) ).

fof(f4488,definition,
    ! [X0,X2] :
      ( sQ101_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).

fof(f4489,plain,
    ! [X0,X1] :
      ( ~ sQ101_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4488]) ).

fof(f4491,plain,
    ( sQ88_spl
    | sQ101_spl ),
    inference(split_clause,[status(thm)],[f4423,f4488,f4436]) ).

fof(f4492,definition,
    ! [X0,X2] :
      ( sQ102_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).

fof(f4493,plain,
    ! [X0,X1] :
      ( ~ sQ102_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4492]) ).

fof(f4495,plain,
    ( sQ88_spl
    | sQ102_spl ),
    inference(split_clause,[status(thm)],[f4424,f4492,f4436]) ).

fof(f4496,definition,
    ! [X0,X2] :
      ( sQ103_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f4497,plain,
    ! [X0,X1] :
      ( ~ sQ103_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4496]) ).

fof(f4499,plain,
    ( sQ88_spl
    | sQ103_spl ),
    inference(split_clause,[status(thm)],[f4425,f4496,f4436]) ).

fof(f4500,definition,
    ! [X0,X2] :
      ( sQ104_spl
    <=> ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f4501,plain,
    ! [X0,X1] :
      ( ~ sQ104_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4500]) ).

fof(f4503,plain,
    ( sQ88_spl
    | sQ104_spl ),
    inference(split_clause,[status(thm)],[f4426,f4500,f4436]) ).

fof(f4504,definition,
    ! [X0,X2] :
      ( sQ105_spl
    <=> ( element_of_collection(intersection_of_sets(f2(ct,X2),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).

fof(f4505,plain,
    ! [X0,X1] :
      ( ~ sQ105_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4504]) ).

fof(f4507,plain,
    ( sQ88_spl
    | sQ105_spl ),
    inference(split_clause,[status(thm)],[f4427,f4504,f4436]) ).

fof(f4508,definition,
    ! [X0] :
      ( sQ106_spl
    <=> ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).

fof(f4511,plain,
    ( sQ88_spl
    | sQ106_spl ),
    inference(split_clause,[status(thm)],[f4428,f4508,f4436]) ).

fof(f4512,definition,
    ! [X0] :
      ( sQ107_spl
    <=> ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f4515,plain,
    ( sQ88_spl
    | sQ107_spl ),
    inference(split_clause,[status(thm)],[f4429,f4512,f4436]) ).

fof(f4516,definition,
    ! [X0,X2] :
      ( sQ108_spl
    <=> ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,intersection_of_members(ct))),X2),ct)
        | ~ element_of_collection(X2,ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).

fof(f4517,plain,
    ! [X0,X1] :
      ( ~ sQ108_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,intersection_of_members(ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f4516]) ).

fof(f4519,plain,
    ( sQ88_spl
    | sQ108_spl ),
    inference(split_clause,[status(thm)],[f4430,f4516,f4436]) ).

fof(f4520,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f4225]) ).

fof(f4521,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X5)
      | element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f4224]) ).

fof(f4522,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X5,X3)
      | element_of_set(X2,union_of_members(subspace_topology(X3,X4,X5)))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f3029]) ).

fof(f4523,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X3,X4)
      | element_of_set(X2,union_of_members(subspace_topology(X3,X4,X5)))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f3026]) ).

fof(f4524,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X4)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f3034]) ).

fof(f4525,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f3032]) ).

fof(f4526,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | element_of_set(X1,f16(X2,a,cx,ct))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3357]) ).

fof(f4527,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,f1(ct,f11(X2,intersection_of_members(ct))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f4364]) ).

fof(f4528,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,f1(ct,f11(X2,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3203]) ).

fof(f4529,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,f1(ct,f11(X2,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3201]) ).

fof(f4532,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X3))
      | element_of_set(X2,f1(X0,f11(X3,union_of_members(X0))))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f1083]) ).

fof(f4533,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,interior(X3,X4,X5))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f1088]) ).

fof(f4534,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X4)
      | element_of_set(X2,interior(X3,X4,X5))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f1087]) ).

fof(f4535,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X4)
      | element_of_set(X2,boundary(X3,X4,X5))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f3033]) ).

fof(f4536,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,boundary(X3,X4,X5))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4396,f1086]) ).

fof(f4538,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f2(ct,X3)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2340]) ).

fof(f4539,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X3,union_of_members(ct)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2339]) ).

fof(f4540,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2452]) ).

fof(f4541,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2451]) ).

fof(f4542,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2300]) ).

fof(f4543,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2299]) ).

fof(f4544,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2154]) ).

fof(f4545,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2153]) ).

fof(f4546,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2012]) ).

fof(f4547,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2011]) ).

fof(f4548,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f581]) ).

fof(f4549,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f580]) ).

fof(f4550,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f573]) ).

fof(f4551,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f572]) ).

fof(f4552,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f583]) ).

fof(f4553,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f582]) ).

fof(f4554,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f531]) ).

fof(f4555,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f530]) ).

fof(f4556,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f523]) ).

fof(f4557,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f522]) ).

fof(f4558,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f533]) ).

fof(f4559,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f532]) ).

fof(f4560,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2776]) ).

fof(f4561,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2569]) ).

fof(f4562,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2565]) ).

fof(f4563,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2538]) ).

fof(f4564,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2537]) ).

fof(f4565,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2486]) ).

fof(f4566,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2599]) ).

fof(f4567,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2598]) ).

fof(f4568,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1874]) ).

fof(f4569,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1873]) ).

fof(f4570,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1610]) ).

fof(f4571,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1609]) ).

fof(f4572,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f457]) ).

fof(f4573,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f456]) ).

fof(f4574,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f449]) ).

fof(f4575,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f448]) ).

fof(f4576,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f459]) ).

fof(f4577,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f458]) ).

fof(f4578,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2901]) ).

fof(f4579,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1740]) ).

fof(f4580,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1739]) ).

fof(f4581,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1484]) ).

fof(f4582,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1483]) ).

fof(f4583,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f419]) ).

fof(f4584,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f418]) ).

fof(f4585,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f411]) ).

fof(f4586,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f410]) ).

fof(f4587,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f421]) ).

fof(f4588,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f420]) ).

fof(f4589,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),f1(ct,f11(X3,union_of_members(ct)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1145]) ).

fof(f4590,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),f2(ct,X3)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f318]) ).

fof(f4591,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),f2(ct,X4))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f429]) ).

fof(f4592,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f333]) ).

fof(f4593,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f328]) ).

fof(f4594,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2728]) ).

fof(f4595,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2690]) ).

fof(f4596,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2614]) ).

fof(f4597,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f323]) ).

fof(f4598,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,f2(ct,X3))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f322]) ).

fof(f4599,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f325]) ).

fof(f4600,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f324]) ).

fof(f4601,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2652]) ).

fof(f4602,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2633]) ).

fof(f4603,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2709]) ).

fof(f4604,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f2671]) ).

fof(f4605,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f338]) ).

fof(f4606,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,f2(ct,X3))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f319]) ).

fof(f4607,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f321]) ).

fof(f4608,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f320]) ).

fof(f4609,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f327]) ).

fof(f4610,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f326]) ).

fof(f4611,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | element_of_set(X1,intersection_of_sets(cx,f16(X2,a,cx,ct)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3381]) ).

fof(f4612,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3251]) ).

fof(f4613,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3229]) ).

fof(f4614,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,union_of_members(ct)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1146]) ).

fof(f4615,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f598]) ).

fof(f4616,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f589]) ).

fof(f4617,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f546]) ).

fof(f4618,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f538]) ).

fof(f4619,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f491]) ).

fof(f4620,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f484]) ).

fof(f4621,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f477]) ).

fof(f4622,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f424]) ).

fof(f4623,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),f2(ct,X3))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f430]) ).

fof(f4624,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f374]) ).

fof(f4625,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f369]) ).

fof(f4626,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f364]) ).

fof(f4627,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f359]) ).

fof(f4628,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f334]) ).

fof(f4629,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f329]) ).

fof(f4630,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f286]) ).

fof(f4631,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f285]) ).

fof(f4632,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f394]) ).

fof(f4633,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f384]) ).

fof(f4634,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f354]) ).

fof(f4635,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f344]) ).

fof(f4636,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f314]) ).

fof(f4637,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f292]) ).

fof(f4638,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f289]) ).

fof(f4639,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f389]) ).

fof(f4640,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f379]) ).

fof(f4641,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f349]) ).

fof(f4642,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f339]) ).

fof(f4643,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f310]) ).

fof(f4644,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,f2(ct,X2)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f306]) ).

fof(f4645,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f288]) ).

fof(f4646,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f287]) ).

fof(f4647,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | element_of_set(X1,intersection_of_sets(empty_set,f16(X2,a,cx,ct)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3382]) ).

fof(f4648,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3252]) ).

fof(f4649,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f3230]) ).

fof(f4650,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,union_of_members(ct)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f1147]) ).

fof(f4651,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X2)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f307]) ).

fof(f4652,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f599]) ).

fof(f4653,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f590]) ).

fof(f4654,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f547]) ).

fof(f4655,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f539]) ).

fof(f4656,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f492]) ).

fof(f4657,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f485]) ).

fof(f4658,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f478]) ).

fof(f4659,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f425]) ).

fof(f4660,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),f2(ct,X3))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f431]) ).

fof(f4661,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f375]) ).

fof(f4662,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f370]) ).

fof(f4663,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f365]) ).

fof(f4664,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f360]) ).

fof(f4665,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f335]) ).

fof(f4666,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f330]) ).

fof(f4667,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f293]) ).

fof(f4668,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f290]) ).

fof(f4669,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f390]) ).

fof(f4670,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f380]) ).

fof(f4671,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f350]) ).

fof(f4672,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f340]) ).

fof(f4673,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f311]) ).

fof(f4674,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f283]) ).

fof(f4675,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f395]) ).

fof(f4676,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f385]) ).

fof(f4677,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f355]) ).

fof(f4678,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f345]) ).

fof(f4679,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f315]) ).

fof(f4680,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f281]) ).

fof(f4681,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f280]) ).

fof(f4682,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f279]) ).

fof(f4683,plain,
    ! [X0,X1] :
      ( element_of_set(X1,empty_set)
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f275]) ).

fof(f4684,plain,
    ! [X0,X1] :
      ( element_of_set(X1,cx)
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f274]) ).

fof(f4685,definition,
    ! [X0,X1] :
      ( sQ109_spl
    <=> ( element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
        | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).

fof(f4686,plain,
    ! [X0,X1] :
      ( ~ sQ109_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f4685]) ).

fof(f4688,definition,
    ! [X2,X3] :
      ( sQ110_spl
    <=> element_of_set(X2,intersection_of_members(top_of_basis(X3))) ),
    introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).

fof(f4689,plain,
    ! [X0,X1] :
      ( ~ sQ110_spl
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f4688]) ).

fof(f4691,plain,
    ( sQ71_spl
    | sQ110_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4520,f4685,f4688,f4291]) ).

fof(f4692,plain,
    ( sQ61_spl
    | sQ110_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4521,f4685,f4688,f4237]) ).

fof(f4693,definition,
    ! [X2,X3,X4,X5] :
      ( sQ111_spl
    <=> ( subset_sets(X5,X3)
        | element_of_set(X2,union_of_members(subspace_topology(X3,X4,X5))) ) ),
    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).

fof(f4694,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ111_spl
      | subset_sets(X3,X1)
      | element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(component_clause,[status(thm)],[f4693]) ).

fof(f4696,plain,
    ( sQ111_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4522,f4685,f4693]) ).

fof(f4697,definition,
    ! [X2,X3,X4,X5] :
      ( sQ112_spl
    <=> ( topological_space(X3,X4)
        | element_of_set(X2,union_of_members(subspace_topology(X3,X4,X5))) ) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f4698,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ112_spl
      | topological_space(X1,X2)
      | element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(component_clause,[status(thm)],[f4697]) ).

fof(f4700,plain,
    ( sQ112_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4523,f4685,f4697]) ).

fof(f4701,definition,
    ! [X2,X3,X4,X5] :
      ( sQ113_spl
    <=> ( subset_sets(X3,X4)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).

fof(f4702,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ113_spl
      | subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f4701]) ).

fof(f4704,plain,
    ( sQ113_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4524,f4685,f4701]) ).

fof(f4705,definition,
    ! [X2,X3,X4,X5] :
      ( sQ114_spl
    <=> ( topological_space(X4,X5)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f4706,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ114_spl
      | topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f4705]) ).

fof(f4708,plain,
    ( sQ114_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4525,f4685,f4705]) ).

fof(f4709,definition,
    ! [X0] :
      ( sQ115_spl
    <=> ( element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f4712,definition,
    ! [X1,X2] :
      ( sQ116_spl
    <=> ( limit_point(X2,a,cx,ct)
        | element_of_set(X1,f16(X2,a,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).

fof(f4713,plain,
    ! [X0,X1] :
      ( ~ sQ116_spl
      | limit_point(X1,a,cx,ct)
      | element_of_set(X0,f16(X1,a,cx,ct)) ),
    inference(component_clause,[status(thm)],[f4712]) ).

fof(f4715,plain,
    ( sQ116_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4526,f4709,f4712]) ).

fof(f4716,definition,
    ! [X1,X2] :
      ( sQ117_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,f1(ct,f11(X2,intersection_of_members(ct)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).

fof(f4717,plain,
    ! [X0,X1] :
      ( ~ sQ117_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,intersection_of_members(ct)))) ),
    inference(component_clause,[status(thm)],[f4716]) ).

fof(f4719,plain,
    ( sQ117_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4527,f4709,f4716]) ).

fof(f4720,definition,
    ! [X1,X2] :
      ( sQ118_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,f1(ct,f11(X2,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f4721,plain,
    ! [X0,X1] :
      ( ~ sQ118_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(component_clause,[status(thm)],[f4720]) ).

fof(f4723,plain,
    ( sQ118_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4528,f4709,f4720]) ).

fof(f4724,definition,
    ! [X1,X2] :
      ( sQ119_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,f1(ct,f11(X2,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).

fof(f4725,plain,
    ! [X0,X1] :
      ( ~ sQ119_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,empty_set))) ),
    inference(component_clause,[status(thm)],[f4724]) ).

fof(f4727,plain,
    ( sQ119_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4529,f4709,f4724]) ).

fof(f4728,definition,
    ! [X2,X3,X4,X5] :
      ( sQ120_spl
    <=> ( topological_space(X4,X5)
        | element_of_set(X2,interior(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).

fof(f4729,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ120_spl
      | topological_space(X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f4728]) ).

fof(f4731,plain,
    ( sQ120_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4533,f4685,f4728]) ).

fof(f4732,definition,
    ! [X2,X3,X4,X5] :
      ( sQ121_spl
    <=> ( subset_sets(X3,X4)
        | element_of_set(X2,interior(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).

fof(f4733,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ121_spl
      | subset_sets(X1,X2)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f4732]) ).

fof(f4735,plain,
    ( sQ121_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4534,f4685,f4732]) ).

fof(f4736,definition,
    ! [X2,X3,X4,X5] :
      ( sQ122_spl
    <=> ( subset_sets(X3,X4)
        | element_of_set(X2,boundary(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).

fof(f4737,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ122_spl
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f4736]) ).

fof(f4739,plain,
    ( sQ122_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4535,f4685,f4736]) ).

fof(f4740,definition,
    ! [X2,X3,X4,X5] :
      ( sQ123_spl
    <=> ( topological_space(X4,X5)
        | element_of_set(X2,boundary(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).

fof(f4741,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ123_spl
      | topological_space(X2,X3)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f4740]) ).

fof(f4743,plain,
    ( sQ123_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f4536,f4685,f4740]) ).

fof(f4744,definition,
    ! [X1,X2,X3] :
      ( sQ124_spl
    <=> ( element_of_set(X3,intersection_of_members(ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f2(ct,X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).

fof(f4745,plain,
    ! [X0,X1,X2] :
      ( ~ sQ124_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))) ),
    inference(component_clause,[status(thm)],[f4744]) ).

fof(f4747,plain,
    ( sQ124_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4538,f4709,f4744]) ).

fof(f4748,definition,
    ! [X1,X2,X3] :
      ( sQ125_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X3))
        | element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X3,union_of_members(ct))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).

fof(f4749,plain,
    ! [X0,X1,X2] :
      ( ~ sQ125_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))) ),
    inference(component_clause,[status(thm)],[f4748]) ).

fof(f4751,plain,
    ( sQ125_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4539,f4709,f4748]) ).

fof(f4752,definition,
    ! [X1,X2] :
      ( sQ126_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).

fof(f4753,plain,
    ! [X0,X1] :
      ( ~ sQ126_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)) ),
    inference(component_clause,[status(thm)],[f4752]) ).

fof(f4755,plain,
    ( sQ126_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4540,f4709,f4752]) ).

fof(f4756,definition,
    ! [X1,X2] :
      ( sQ127_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).

fof(f4757,plain,
    ! [X0,X1] :
      ( ~ sQ127_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)) ),
    inference(component_clause,[status(thm)],[f4756]) ).

fof(f4759,plain,
    ( sQ127_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4541,f4709,f4756]) ).

fof(f4760,definition,
    ! [X1,X2] :
      ( sQ128_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f4761,plain,
    ! [X0,X1] :
      ( ~ sQ128_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)) ),
    inference(component_clause,[status(thm)],[f4760]) ).

fof(f4763,plain,
    ( sQ128_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4542,f4709,f4760]) ).

fof(f4764,definition,
    ! [X1,X2] :
      ( sQ129_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).

fof(f4765,plain,
    ! [X0,X1] :
      ( ~ sQ129_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)) ),
    inference(component_clause,[status(thm)],[f4764]) ).

fof(f4767,plain,
    ( sQ129_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4543,f4709,f4764]) ).

fof(f4768,definition,
    ! [X1,X2] :
      ( sQ130_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).

fof(f4769,plain,
    ! [X0,X1] :
      ( ~ sQ130_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)) ),
    inference(component_clause,[status(thm)],[f4768]) ).

fof(f4771,plain,
    ( sQ130_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4544,f4709,f4768]) ).

fof(f4772,definition,
    ! [X1,X2] :
      ( sQ131_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).

fof(f4773,plain,
    ! [X0,X1] :
      ( ~ sQ131_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)) ),
    inference(component_clause,[status(thm)],[f4772]) ).

fof(f4775,plain,
    ( sQ131_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4545,f4709,f4772]) ).

fof(f4776,definition,
    ! [X1,X2] :
      ( sQ132_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).

fof(f4777,plain,
    ! [X0,X1] :
      ( ~ sQ132_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)) ),
    inference(component_clause,[status(thm)],[f4776]) ).

fof(f4779,plain,
    ( sQ132_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4546,f4709,f4776]) ).

fof(f4780,definition,
    ! [X1,X2] :
      ( sQ133_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).

fof(f4781,plain,
    ! [X0,X1] :
      ( ~ sQ133_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)) ),
    inference(component_clause,[status(thm)],[f4780]) ).

fof(f4783,plain,
    ( sQ133_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4547,f4709,f4780]) ).

fof(f4784,definition,
    ! [X1,X2] :
      ( sQ134_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).

fof(f4785,plain,
    ! [X0,X1] :
      ( ~ sQ134_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f4784]) ).

fof(f4787,plain,
    ( sQ134_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4548,f4709,f4784]) ).

fof(f4788,definition,
    ! [X1,X2] :
      ( sQ135_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).

fof(f4789,plain,
    ! [X0,X1] :
      ( ~ sQ135_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f4788]) ).

fof(f4791,plain,
    ( sQ135_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4549,f4709,f4788]) ).

fof(f4792,definition,
    ! [X1,X2] :
      ( sQ136_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).

fof(f4793,plain,
    ! [X0,X1] :
      ( ~ sQ136_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f4792]) ).

fof(f4795,plain,
    ( sQ136_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4550,f4709,f4792]) ).

fof(f4796,definition,
    ! [X1,X2] :
      ( sQ137_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f4797,plain,
    ! [X0,X1] :
      ( ~ sQ137_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f4796]) ).

fof(f4799,plain,
    ( sQ137_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4551,f4709,f4796]) ).

fof(f4800,definition,
    ! [X1,X2] :
      ( sQ138_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).

fof(f4801,plain,
    ! [X0,X1] :
      ( ~ sQ138_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)) ),
    inference(component_clause,[status(thm)],[f4800]) ).

fof(f4803,plain,
    ( sQ138_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4552,f4709,f4800]) ).

fof(f4804,definition,
    ! [X1,X2] :
      ( sQ139_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).

fof(f4805,plain,
    ! [X0,X1] :
      ( ~ sQ139_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)) ),
    inference(component_clause,[status(thm)],[f4804]) ).

fof(f4807,plain,
    ( sQ139_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4553,f4709,f4804]) ).

fof(f4808,definition,
    ! [X1,X2] :
      ( sQ140_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).

fof(f4809,plain,
    ! [X0,X1] :
      ( ~ sQ140_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f4808]) ).

fof(f4811,plain,
    ( sQ140_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4554,f4709,f4808]) ).

fof(f4812,definition,
    ! [X1,X2] :
      ( sQ141_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).

fof(f4813,plain,
    ! [X0,X1] :
      ( ~ sQ141_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f4812]) ).

fof(f4815,plain,
    ( sQ141_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4555,f4709,f4812]) ).

fof(f4816,definition,
    ! [X1,X2] :
      ( sQ142_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).

fof(f4817,plain,
    ! [X0,X1] :
      ( ~ sQ142_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f4816]) ).

fof(f4819,plain,
    ( sQ142_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4556,f4709,f4816]) ).

fof(f4820,definition,
    ! [X1,X2] :
      ( sQ143_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).

fof(f4821,plain,
    ! [X0,X1] :
      ( ~ sQ143_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f4820]) ).

fof(f4823,plain,
    ( sQ143_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4557,f4709,f4820]) ).

fof(f4824,definition,
    ! [X1,X2] :
      ( sQ144_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).

fof(f4825,plain,
    ! [X0,X1] :
      ( ~ sQ144_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)) ),
    inference(component_clause,[status(thm)],[f4824]) ).

fof(f4827,plain,
    ( sQ144_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4558,f4709,f4824]) ).

fof(f4828,definition,
    ! [X1,X2] :
      ( sQ145_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).

fof(f4829,plain,
    ! [X0,X1] :
      ( ~ sQ145_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)) ),
    inference(component_clause,[status(thm)],[f4828]) ).

fof(f4831,plain,
    ( sQ145_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4559,f4709,f4828]) ).

fof(f4832,definition,
    ! [X1,X2] :
      ( sQ146_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).

fof(f4833,plain,
    ! [X0,X1] :
      ( ~ sQ146_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))) ),
    inference(component_clause,[status(thm)],[f4832]) ).

fof(f4835,plain,
    ( sQ146_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4560,f4709,f4832]) ).

fof(f4836,definition,
    ! [X1,X2] :
      ( sQ147_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X2)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).

fof(f4837,plain,
    ! [X0,X1] :
      ( ~ sQ147_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(component_clause,[status(thm)],[f4836]) ).

fof(f4839,plain,
    ( sQ147_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4561,f4709,f4836]) ).

fof(f4840,definition,
    ! [X1,X2] :
      ( sQ148_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X2)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).

fof(f4841,plain,
    ! [X0,X1] :
      ( ~ sQ148_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(component_clause,[status(thm)],[f4840]) ).

fof(f4843,plain,
    ( sQ148_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4562,f4709,f4840]) ).

fof(f4844,definition,
    ! [X1,X2] :
      ( sQ149_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).

fof(f4845,plain,
    ! [X0,X1] :
      ( ~ sQ149_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(component_clause,[status(thm)],[f4844]) ).

fof(f4847,plain,
    ( sQ149_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4563,f4709,f4844]) ).

fof(f4848,definition,
    ! [X1,X2] :
      ( sQ150_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).

fof(f4849,plain,
    ! [X0,X1] :
      ( ~ sQ150_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))) ),
    inference(component_clause,[status(thm)],[f4848]) ).

fof(f4851,plain,
    ( sQ150_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4564,f4709,f4848]) ).

fof(f4852,definition,
    ! [X1,X2] :
      ( sQ151_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).

fof(f4853,plain,
    ! [X0,X1] :
      ( ~ sQ151_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))) ),
    inference(component_clause,[status(thm)],[f4852]) ).

fof(f4855,plain,
    ( sQ151_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4565,f4709,f4852]) ).

fof(f4856,definition,
    ! [X1] :
      ( sQ152_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)) ),
    introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).

fof(f4857,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)) ),
    inference(component_clause,[status(thm)],[f4856]) ).

fof(f4859,plain,
    ( sQ152_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4566,f4709,f4856]) ).

fof(f4860,definition,
    ! [X1] :
      ( sQ153_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)) ),
    introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).

fof(f4861,plain,
    ! [X0] :
      ( ~ sQ153_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)) ),
    inference(component_clause,[status(thm)],[f4860]) ).

fof(f4863,plain,
    ( sQ153_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4567,f4709,f4860]) ).

fof(f4864,definition,
    ! [X1,X2] :
      ( sQ154_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).

fof(f4865,plain,
    ! [X0,X1] :
      ( ~ sQ154_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)) ),
    inference(component_clause,[status(thm)],[f4864]) ).

fof(f4867,plain,
    ( sQ154_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4568,f4709,f4864]) ).

fof(f4868,definition,
    ! [X1,X2] :
      ( sQ155_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).

fof(f4869,plain,
    ! [X0,X1] :
      ( ~ sQ155_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)) ),
    inference(component_clause,[status(thm)],[f4868]) ).

fof(f4871,plain,
    ( sQ155_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4569,f4709,f4868]) ).

fof(f4872,definition,
    ! [X1,X2] :
      ( sQ156_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).

fof(f4873,plain,
    ! [X0,X1] :
      ( ~ sQ156_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)) ),
    inference(component_clause,[status(thm)],[f4872]) ).

fof(f4875,plain,
    ( sQ156_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4570,f4709,f4872]) ).

fof(f4876,definition,
    ! [X1,X2] :
      ( sQ157_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).

fof(f4877,plain,
    ! [X0,X1] :
      ( ~ sQ157_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)) ),
    inference(component_clause,[status(thm)],[f4876]) ).

fof(f4879,plain,
    ( sQ157_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4571,f4709,f4876]) ).

fof(f4880,definition,
    ! [X1,X2] :
      ( sQ158_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).

fof(f4881,plain,
    ! [X0,X1] :
      ( ~ sQ158_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f4880]) ).

fof(f4883,plain,
    ( sQ158_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4572,f4709,f4880]) ).

fof(f4884,definition,
    ! [X1,X2] :
      ( sQ159_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).

fof(f4885,plain,
    ! [X0,X1] :
      ( ~ sQ159_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f4884]) ).

fof(f4887,plain,
    ( sQ159_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4573,f4709,f4884]) ).

fof(f4888,definition,
    ! [X1,X2] :
      ( sQ160_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).

fof(f4889,plain,
    ! [X0,X1] :
      ( ~ sQ160_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f4888]) ).

fof(f4891,plain,
    ( sQ160_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4574,f4709,f4888]) ).

fof(f4892,definition,
    ! [X1,X2] :
      ( sQ161_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).

fof(f4893,plain,
    ! [X0,X1] :
      ( ~ sQ161_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f4892]) ).

fof(f4895,plain,
    ( sQ161_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4575,f4709,f4892]) ).

fof(f4896,definition,
    ! [X1,X2] :
      ( sQ162_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).

fof(f4897,plain,
    ! [X0,X1] :
      ( ~ sQ162_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)) ),
    inference(component_clause,[status(thm)],[f4896]) ).

fof(f4899,plain,
    ( sQ162_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4576,f4709,f4896]) ).

fof(f4900,definition,
    ! [X1,X2] :
      ( sQ163_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).

fof(f4901,plain,
    ! [X0,X1] :
      ( ~ sQ163_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)) ),
    inference(component_clause,[status(thm)],[f4900]) ).

fof(f4903,plain,
    ( sQ163_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4577,f4709,f4900]) ).

fof(f4904,definition,
    ! [X1,X2] :
      ( sQ164_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).

fof(f4905,plain,
    ! [X0,X1] :
      ( ~ sQ164_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))) ),
    inference(component_clause,[status(thm)],[f4904]) ).

fof(f4907,plain,
    ( sQ164_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4578,f4709,f4904]) ).

fof(f4908,definition,
    ! [X1,X2] :
      ( sQ165_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).

fof(f4909,plain,
    ! [X0,X1] :
      ( ~ sQ165_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)) ),
    inference(component_clause,[status(thm)],[f4908]) ).

fof(f4911,plain,
    ( sQ165_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4579,f4709,f4908]) ).

fof(f4912,definition,
    ! [X1,X2] :
      ( sQ166_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).

fof(f4913,plain,
    ! [X0,X1] :
      ( ~ sQ166_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)) ),
    inference(component_clause,[status(thm)],[f4912]) ).

fof(f4915,plain,
    ( sQ166_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4580,f4709,f4912]) ).

fof(f4916,definition,
    ! [X1,X2] :
      ( sQ167_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).

fof(f4917,plain,
    ! [X0,X1] :
      ( ~ sQ167_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)) ),
    inference(component_clause,[status(thm)],[f4916]) ).

fof(f4919,plain,
    ( sQ167_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4581,f4709,f4916]) ).

fof(f4920,definition,
    ! [X1,X2] :
      ( sQ168_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).

fof(f4921,plain,
    ! [X0,X1] :
      ( ~ sQ168_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)) ),
    inference(component_clause,[status(thm)],[f4920]) ).

fof(f4923,plain,
    ( sQ168_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4582,f4709,f4920]) ).

fof(f4924,definition,
    ! [X1,X2] :
      ( sQ169_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).

fof(f4925,plain,
    ! [X0,X1] :
      ( ~ sQ169_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f4924]) ).

fof(f4927,plain,
    ( sQ169_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4583,f4709,f4924]) ).

fof(f4928,definition,
    ! [X1,X2] :
      ( sQ170_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).

fof(f4929,plain,
    ! [X0,X1] :
      ( ~ sQ170_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f4928]) ).

fof(f4931,plain,
    ( sQ170_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4584,f4709,f4928]) ).

fof(f4932,definition,
    ! [X1,X2] :
      ( sQ171_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).

fof(f4933,plain,
    ! [X0,X1] :
      ( ~ sQ171_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f4932]) ).

fof(f4935,plain,
    ( sQ171_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4585,f4709,f4932]) ).

fof(f4936,definition,
    ! [X1,X2] :
      ( sQ172_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).

fof(f4937,plain,
    ! [X0,X1] :
      ( ~ sQ172_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f4936]) ).

fof(f4939,plain,
    ( sQ172_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4586,f4709,f4936]) ).

fof(f4940,definition,
    ! [X1,X2] :
      ( sQ173_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).

fof(f4941,plain,
    ! [X0,X1] :
      ( ~ sQ173_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)) ),
    inference(component_clause,[status(thm)],[f4940]) ).

fof(f4943,plain,
    ( sQ173_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4587,f4709,f4940]) ).

fof(f4944,definition,
    ! [X1,X2] :
      ( sQ174_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).

fof(f4945,plain,
    ! [X0,X1] :
      ( ~ sQ174_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)) ),
    inference(component_clause,[status(thm)],[f4944]) ).

fof(f4947,plain,
    ( sQ174_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4588,f4709,f4944]) ).

fof(f4948,definition,
    ! [X1,X2,X3] :
      ( sQ175_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X3))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),f1(ct,f11(X3,union_of_members(ct))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).

fof(f4949,plain,
    ! [X0,X1,X2] :
      ( ~ sQ175_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))) ),
    inference(component_clause,[status(thm)],[f4948]) ).

fof(f4951,plain,
    ( sQ175_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4589,f4709,f4948]) ).

fof(f4952,definition,
    ! [X1,X2,X3] :
      ( sQ176_spl
    <=> ( element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),f2(ct,X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).

fof(f4953,plain,
    ! [X0,X1,X2] :
      ( ~ sQ176_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),f2(ct,X2))) ),
    inference(component_clause,[status(thm)],[f4952]) ).

fof(f4955,plain,
    ( sQ176_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4590,f4709,f4952]) ).

fof(f4956,definition,
    ! [X1,X2,X3,X4] :
      ( sQ177_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X4,intersection_of_members(ct))
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),f2(ct,X4)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).

fof(f4959,plain,
    ( sQ177_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4591,f4709,f4956]) ).

fof(f4960,definition,
    ! [X1,X2,X3] :
      ( sQ178_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).

fof(f4963,plain,
    ( sQ178_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4592,f4709,f4960]) ).

fof(f4964,definition,
    ! [X1,X2,X3] :
      ( sQ179_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X3),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).

fof(f4967,plain,
    ( sQ179_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4593,f4709,f4964]) ).

fof(f4968,definition,
    ! [X1,X2] :
      ( sQ180_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).

fof(f4969,plain,
    ! [X0,X1] :
      ( ~ sQ180_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f4968]) ).

fof(f4971,plain,
    ( sQ180_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4594,f4709,f4968]) ).

fof(f4972,definition,
    ! [X1,X2] :
      ( sQ181_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).

fof(f4973,plain,
    ! [X0,X1] :
      ( ~ sQ181_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f4972]) ).

fof(f4975,plain,
    ( sQ181_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4595,f4709,f4972]) ).

fof(f4976,definition,
    ! [X1,X2] :
      ( sQ182_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).

fof(f4977,plain,
    ! [X0,X1] :
      ( ~ sQ182_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f4976]) ).

fof(f4979,plain,
    ( sQ182_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4596,f4709,f4976]) ).

fof(f4980,definition,
    ! [X1,X2] :
      ( sQ183_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).

fof(f4981,plain,
    ! [X0,X1] :
      ( ~ sQ183_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f4980]) ).

fof(f4983,plain,
    ( sQ183_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4597,f4709,f4980]) ).

fof(f4984,definition,
    ! [X1,X2,X3] :
      ( sQ184_spl
    <=> ( element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,f2(ct,X3)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).

fof(f4987,plain,
    ( sQ184_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4598,f4709,f4984]) ).

fof(f4988,definition,
    ! [X1,X2] :
      ( sQ185_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).

fof(f4989,plain,
    ! [X0,X1] :
      ( ~ sQ185_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f4988]) ).

fof(f4991,plain,
    ( sQ185_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4599,f4709,f4988]) ).

fof(f4992,definition,
    ! [X1,X2] :
      ( sQ186_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).

fof(f4993,plain,
    ! [X0,X1] :
      ( ~ sQ186_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f4992]) ).

fof(f4995,plain,
    ( sQ186_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4600,f4709,f4992]) ).

fof(f4996,definition,
    ! [X1,X2] :
      ( sQ187_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).

fof(f4997,plain,
    ! [X0,X1] :
      ( ~ sQ187_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f4996]) ).

fof(f4999,plain,
    ( sQ187_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4601,f4709,f4996]) ).

fof(f5000,definition,
    ! [X1,X2] :
      ( sQ188_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).

fof(f5001,plain,
    ! [X0,X1] :
      ( ~ sQ188_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f5000]) ).

fof(f5003,plain,
    ( sQ188_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4602,f4709,f5000]) ).

fof(f5004,definition,
    ! [X1,X2] :
      ( sQ189_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).

fof(f5005,plain,
    ! [X0,X1] :
      ( ~ sQ189_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f5004]) ).

fof(f5007,plain,
    ( sQ189_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4603,f4709,f5004]) ).

fof(f5008,definition,
    ! [X1,X2] :
      ( sQ190_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).

fof(f5009,plain,
    ! [X0,X1] :
      ( ~ sQ190_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5008]) ).

fof(f5011,plain,
    ( sQ190_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4604,f4709,f5008]) ).

fof(f5012,definition,
    ! [X1,X2,X3] :
      ( sQ191_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).

fof(f5015,plain,
    ( sQ191_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4605,f4709,f5012]) ).

fof(f5016,definition,
    ! [X1,X2,X3] :
      ( sQ192_spl
    <=> ( element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,f2(ct,X3)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).

fof(f5019,plain,
    ( sQ192_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4606,f4709,f5016]) ).

fof(f5020,definition,
    ! [X1,X2] :
      ( sQ193_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).

fof(f5021,plain,
    ! [X0,X1] :
      ( ~ sQ193_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f5020]) ).

fof(f5023,plain,
    ( sQ193_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4607,f4709,f5020]) ).

fof(f5024,definition,
    ! [X1,X2] :
      ( sQ194_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).

fof(f5025,plain,
    ! [X0,X1] :
      ( ~ sQ194_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f5024]) ).

fof(f5027,plain,
    ( sQ194_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4608,f4709,f5024]) ).

fof(f5028,definition,
    ! [X1,X2] :
      ( sQ195_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),cx)) ) ),
    introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).

fof(f5029,plain,
    ! [X0,X1] :
      ( ~ sQ195_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),cx)) ),
    inference(component_clause,[status(thm)],[f5028]) ).

fof(f5031,plain,
    ( sQ195_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4609,f4709,f5028]) ).

fof(f5032,definition,
    ! [X1,X2] :
      ( sQ196_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(f2(ct,X2),empty_set)) ) ),
    introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).

fof(f5033,plain,
    ! [X0,X1] :
      ( ~ sQ196_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(f2(ct,X1),empty_set)) ),
    inference(component_clause,[status(thm)],[f5032]) ).

fof(f5035,plain,
    ( sQ196_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4610,f4709,f5032]) ).

fof(f5036,definition,
    ! [X1,X2] :
      ( sQ197_spl
    <=> ( limit_point(X2,a,cx,ct)
        | element_of_set(X1,intersection_of_sets(cx,f16(X2,a,cx,ct))) ) ),
    introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).

fof(f5037,plain,
    ! [X0,X1] :
      ( ~ sQ197_spl
      | limit_point(X1,a,cx,ct)
      | element_of_set(X0,intersection_of_sets(cx,f16(X1,a,cx,ct))) ),
    inference(component_clause,[status(thm)],[f5036]) ).

fof(f5039,plain,
    ( sQ197_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4611,f4709,f5036]) ).

fof(f5040,definition,
    ! [X1,X2] :
      ( sQ198_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).

fof(f5041,plain,
    ! [X0,X1] :
      ( ~ sQ198_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,cx)))) ),
    inference(component_clause,[status(thm)],[f5040]) ).

fof(f5043,plain,
    ( sQ198_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4612,f4709,f5040]) ).

fof(f5044,definition,
    ! [X1,X2] :
      ( sQ199_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).

fof(f5045,plain,
    ! [X0,X1] :
      ( ~ sQ199_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5044]) ).

fof(f5047,plain,
    ( sQ199_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4613,f4709,f5044]) ).

fof(f5048,definition,
    ! [X1,X2] :
      ( sQ200_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,union_of_members(ct))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).

fof(f5049,plain,
    ! [X0,X1] :
      ( ~ sQ200_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))) ),
    inference(component_clause,[status(thm)],[f5048]) ).

fof(f5051,plain,
    ( sQ200_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4614,f4709,f5048]) ).

fof(f5052,definition,
    ! [X1,X2] :
      ( sQ201_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).

fof(f5053,plain,
    ! [X0,X1] :
      ( ~ sQ201_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))) ),
    inference(component_clause,[status(thm)],[f5052]) ).

fof(f5055,plain,
    ( sQ201_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4615,f4709,f5052]) ).

fof(f5056,definition,
    ! [X1,X2] :
      ( sQ202_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).

fof(f5057,plain,
    ! [X0,X1] :
      ( ~ sQ202_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))) ),
    inference(component_clause,[status(thm)],[f5056]) ).

fof(f5059,plain,
    ( sQ202_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4616,f4709,f5056]) ).

fof(f5060,definition,
    ! [X1,X2] :
      ( sQ203_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).

fof(f5061,plain,
    ! [X0,X1] :
      ( ~ sQ203_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))) ),
    inference(component_clause,[status(thm)],[f5060]) ).

fof(f5063,plain,
    ( sQ203_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4617,f4709,f5060]) ).

fof(f5064,definition,
    ! [X1,X2] :
      ( sQ204_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).

fof(f5065,plain,
    ! [X0,X1] :
      ( ~ sQ204_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))) ),
    inference(component_clause,[status(thm)],[f5064]) ).

fof(f5067,plain,
    ( sQ204_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4618,f4709,f5064]) ).

fof(f5068,definition,
    ! [X1,X2] :
      ( sQ205_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).

fof(f5069,plain,
    ! [X0,X1] :
      ( ~ sQ205_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))) ),
    inference(component_clause,[status(thm)],[f5068]) ).

fof(f5071,plain,
    ( sQ205_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4619,f4709,f5068]) ).

fof(f5072,definition,
    ! [X1,X2] :
      ( sQ206_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).

fof(f5073,plain,
    ! [X0,X1] :
      ( ~ sQ206_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))) ),
    inference(component_clause,[status(thm)],[f5072]) ).

fof(f5075,plain,
    ( sQ206_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4620,f4709,f5072]) ).

fof(f5076,definition,
    ! [X1,X2] :
      ( sQ207_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).

fof(f5077,plain,
    ! [X0,X1] :
      ( ~ sQ207_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))) ),
    inference(component_clause,[status(thm)],[f5076]) ).

fof(f5079,plain,
    ( sQ207_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4621,f4709,f5076]) ).

fof(f5080,definition,
    ! [X1,X2] :
      ( sQ208_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).

fof(f5081,plain,
    ! [X0,X1] :
      ( ~ sQ208_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))) ),
    inference(component_clause,[status(thm)],[f5080]) ).

fof(f5083,plain,
    ( sQ208_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4622,f4709,f5080]) ).

fof(f5084,definition,
    ! [X1,X2,X3] :
      ( sQ209_spl
    <=> ( element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),f2(ct,X3)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).

fof(f5087,plain,
    ( sQ209_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4623,f4709,f5084]) ).

fof(f5088,definition,
    ! [X1,X2] :
      ( sQ210_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).

fof(f5089,plain,
    ! [X0,X1] :
      ( ~ sQ210_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5088]) ).

fof(f5091,plain,
    ( sQ210_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4624,f4709,f5088]) ).

fof(f5092,definition,
    ! [X1,X2] :
      ( sQ211_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).

fof(f5093,plain,
    ! [X0,X1] :
      ( ~ sQ211_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f5092]) ).

fof(f5095,plain,
    ( sQ211_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4625,f4709,f5092]) ).

fof(f5096,definition,
    ! [X1,X2] :
      ( sQ212_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).

fof(f5097,plain,
    ! [X0,X1] :
      ( ~ sQ212_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5096]) ).

fof(f5099,plain,
    ( sQ212_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4626,f4709,f5096]) ).

fof(f5100,definition,
    ! [X1,X2] :
      ( sQ213_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).

fof(f5101,plain,
    ! [X0,X1] :
      ( ~ sQ213_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f5100]) ).

fof(f5103,plain,
    ( sQ213_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4627,f4709,f5100]) ).

fof(f5104,definition,
    ! [X1,X2] :
      ( sQ214_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).

fof(f5105,plain,
    ! [X0,X1] :
      ( ~ sQ214_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))) ),
    inference(component_clause,[status(thm)],[f5104]) ).

fof(f5107,plain,
    ( sQ214_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4628,f4709,f5104]) ).

fof(f5108,definition,
    ! [X1,X2] :
      ( sQ215_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).

fof(f5109,plain,
    ! [X0,X1] :
      ( ~ sQ215_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(component_clause,[status(thm)],[f5108]) ).

fof(f5111,plain,
    ( sQ215_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4629,f4709,f5108]) ).

fof(f5112,definition,
    ! [X1] :
      ( sQ216_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).

fof(f5113,plain,
    ! [X0] :
      ( ~ sQ216_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f5112]) ).

fof(f5115,plain,
    ( sQ216_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4630,f4709,f5112]) ).

fof(f5116,definition,
    ! [X1] :
      ( sQ217_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).

fof(f5117,plain,
    ! [X0] :
      ( ~ sQ217_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f5116]) ).

fof(f5119,plain,
    ( sQ217_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4631,f4709,f5116]) ).

fof(f5120,definition,
    ! [X1,X2] :
      ( sQ218_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).

fof(f5121,plain,
    ! [X0,X1] :
      ( ~ sQ218_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(component_clause,[status(thm)],[f5120]) ).

fof(f5123,plain,
    ( sQ218_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4632,f4709,f5120]) ).

fof(f5124,definition,
    ! [X1,X2] :
      ( sQ219_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).

fof(f5125,plain,
    ! [X0,X1] :
      ( ~ sQ219_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(component_clause,[status(thm)],[f5124]) ).

fof(f5127,plain,
    ( sQ219_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4633,f4709,f5124]) ).

fof(f5128,definition,
    ! [X1,X2] :
      ( sQ220_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).

fof(f5129,plain,
    ! [X0,X1] :
      ( ~ sQ220_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5128]) ).

fof(f5131,plain,
    ( sQ220_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4634,f4709,f5128]) ).

fof(f5132,definition,
    ! [X1,X2] :
      ( sQ221_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).

fof(f5133,plain,
    ! [X0,X1] :
      ( ~ sQ221_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5132]) ).

fof(f5135,plain,
    ( sQ221_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4635,f4709,f5132]) ).

fof(f5136,definition,
    ! [X1,X2] :
      ( sQ222_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).

fof(f5137,plain,
    ! [X0,X1] :
      ( ~ sQ222_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(component_clause,[status(thm)],[f5136]) ).

fof(f5139,plain,
    ( sQ222_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4636,f4709,f5136]) ).

fof(f5140,definition,
    ! [X1] :
      ( sQ223_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).

fof(f5141,plain,
    ! [X0] :
      ( ~ sQ223_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f5140]) ).

fof(f5143,plain,
    ( sQ223_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4637,f4709,f5140]) ).

fof(f5144,definition,
    ! [X1] :
      ( sQ224_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).

fof(f5145,plain,
    ! [X0] :
      ( ~ sQ224_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f5144]) ).

fof(f5147,plain,
    ( sQ224_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4638,f4709,f5144]) ).

fof(f5148,definition,
    ! [X1,X2] :
      ( sQ225_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).

fof(f5149,plain,
    ! [X0,X1] :
      ( ~ sQ225_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(component_clause,[status(thm)],[f5148]) ).

fof(f5151,plain,
    ( sQ225_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4639,f4709,f5148]) ).

fof(f5152,definition,
    ! [X1,X2] :
      ( sQ226_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).

fof(f5153,plain,
    ! [X0,X1] :
      ( ~ sQ226_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(component_clause,[status(thm)],[f5152]) ).

fof(f5155,plain,
    ( sQ226_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4640,f4709,f5152]) ).

fof(f5156,definition,
    ! [X1,X2] :
      ( sQ227_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).

fof(f5157,plain,
    ! [X0,X1] :
      ( ~ sQ227_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5156]) ).

fof(f5159,plain,
    ( sQ227_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4641,f4709,f5156]) ).

fof(f5160,definition,
    ! [X1,X2] :
      ( sQ228_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).

fof(f5161,plain,
    ! [X0,X1] :
      ( ~ sQ228_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5160]) ).

fof(f5163,plain,
    ( sQ228_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4642,f4709,f5160]) ).

fof(f5164,definition,
    ! [X1,X2] :
      ( sQ229_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).

fof(f5165,plain,
    ! [X0,X1] :
      ( ~ sQ229_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(component_clause,[status(thm)],[f5164]) ).

fof(f5167,plain,
    ( sQ229_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4643,f4709,f5164]) ).

fof(f5168,definition,
    ! [X1,X2] :
      ( sQ230_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(cx,f2(ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).

fof(f5169,plain,
    ! [X0,X1] :
      ( ~ sQ230_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(cx,f2(ct,X1))) ),
    inference(component_clause,[status(thm)],[f5168]) ).

fof(f5171,plain,
    ( sQ230_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4644,f4709,f5168]) ).

fof(f5172,definition,
    ! [X1] :
      ( sQ231_spl
    <=> element_of_set(X1,intersection_of_sets(cx,cx)) ),
    introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).

fof(f5173,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | element_of_set(X0,intersection_of_sets(cx,cx)) ),
    inference(component_clause,[status(thm)],[f5172]) ).

fof(f5175,plain,
    ( sQ231_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4645,f4709,f5172]) ).

fof(f5176,definition,
    ! [X1] :
      ( sQ232_spl
    <=> element_of_set(X1,intersection_of_sets(cx,empty_set)) ),
    introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).

fof(f5177,plain,
    ! [X0] :
      ( ~ sQ232_spl
      | element_of_set(X0,intersection_of_sets(cx,empty_set)) ),
    inference(component_clause,[status(thm)],[f5176]) ).

fof(f5179,plain,
    ( sQ232_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4646,f4709,f5176]) ).

fof(f5180,definition,
    ! [X1,X2] :
      ( sQ233_spl
    <=> ( limit_point(X2,a,cx,ct)
        | element_of_set(X1,intersection_of_sets(empty_set,f16(X2,a,cx,ct))) ) ),
    introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).

fof(f5181,plain,
    ! [X0,X1] :
      ( ~ sQ233_spl
      | limit_point(X1,a,cx,ct)
      | element_of_set(X0,intersection_of_sets(empty_set,f16(X1,a,cx,ct))) ),
    inference(component_clause,[status(thm)],[f5180]) ).

fof(f5183,plain,
    ( sQ233_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4647,f4709,f5180]) ).

fof(f5184,definition,
    ! [X1,X2] :
      ( sQ234_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).

fof(f5185,plain,
    ! [X0,X1] :
      ( ~ sQ234_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))) ),
    inference(component_clause,[status(thm)],[f5184]) ).

fof(f5187,plain,
    ( sQ234_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4648,f4709,f5184]) ).

fof(f5188,definition,
    ! [X1,X2] :
      ( sQ235_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).

fof(f5189,plain,
    ! [X0,X1] :
      ( ~ sQ235_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5188]) ).

fof(f5191,plain,
    ( sQ235_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4649,f4709,f5188]) ).

fof(f5192,definition,
    ! [X1,X2] :
      ( sQ236_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,union_of_members(ct))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).

fof(f5193,plain,
    ! [X0,X1] :
      ( ~ sQ236_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))) ),
    inference(component_clause,[status(thm)],[f5192]) ).

fof(f5195,plain,
    ( sQ236_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4650,f4709,f5192]) ).

fof(f5196,definition,
    ! [X1,X2] :
      ( sQ237_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).

fof(f5197,plain,
    ! [X0,X1] :
      ( ~ sQ237_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,f2(ct,X1))) ),
    inference(component_clause,[status(thm)],[f5196]) ).

fof(f5199,plain,
    ( sQ237_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4651,f4709,f5196]) ).

fof(f5200,definition,
    ! [X1,X2] :
      ( sQ238_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).

fof(f5201,plain,
    ! [X0,X1] :
      ( ~ sQ238_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))) ),
    inference(component_clause,[status(thm)],[f5200]) ).

fof(f5203,plain,
    ( sQ238_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4652,f4709,f5200]) ).

fof(f5204,definition,
    ! [X1,X2] :
      ( sQ239_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).

fof(f5205,plain,
    ! [X0,X1] :
      ( ~ sQ239_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))) ),
    inference(component_clause,[status(thm)],[f5204]) ).

fof(f5207,plain,
    ( sQ239_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4653,f4709,f5204]) ).

fof(f5208,definition,
    ! [X1,X2] :
      ( sQ240_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).

fof(f5209,plain,
    ! [X0,X1] :
      ( ~ sQ240_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))) ),
    inference(component_clause,[status(thm)],[f5208]) ).

fof(f5211,plain,
    ( sQ240_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4654,f4709,f5208]) ).

fof(f5212,definition,
    ! [X1,X2] :
      ( sQ241_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).

fof(f5213,plain,
    ! [X0,X1] :
      ( ~ sQ241_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))) ),
    inference(component_clause,[status(thm)],[f5212]) ).

fof(f5215,plain,
    ( sQ241_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4655,f4709,f5212]) ).

fof(f5216,definition,
    ! [X1,X2] :
      ( sQ242_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).

fof(f5217,plain,
    ! [X0,X1] :
      ( ~ sQ242_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))) ),
    inference(component_clause,[status(thm)],[f5216]) ).

fof(f5219,plain,
    ( sQ242_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4656,f4709,f5216]) ).

fof(f5220,definition,
    ! [X1,X2] :
      ( sQ243_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).

fof(f5221,plain,
    ! [X0,X1] :
      ( ~ sQ243_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))) ),
    inference(component_clause,[status(thm)],[f5220]) ).

fof(f5223,plain,
    ( sQ243_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4657,f4709,f5220]) ).

fof(f5224,definition,
    ! [X1,X2] :
      ( sQ244_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).

fof(f5225,plain,
    ! [X0,X1] :
      ( ~ sQ244_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))) ),
    inference(component_clause,[status(thm)],[f5224]) ).

fof(f5227,plain,
    ( sQ244_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4658,f4709,f5224]) ).

fof(f5228,definition,
    ! [X1,X2] :
      ( sQ245_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).

fof(f5229,plain,
    ! [X0,X1] :
      ( ~ sQ245_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))) ),
    inference(component_clause,[status(thm)],[f5228]) ).

fof(f5231,plain,
    ( sQ245_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4659,f4709,f5228]) ).

fof(f5232,definition,
    ! [X1,X2,X3] :
      ( sQ246_spl
    <=> ( element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),f2(ct,X3)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).

fof(f5235,plain,
    ( sQ246_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4660,f4709,f5232]) ).

fof(f5236,definition,
    ! [X1,X2] :
      ( sQ247_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).

fof(f5237,plain,
    ! [X0,X1] :
      ( ~ sQ247_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5236]) ).

fof(f5239,plain,
    ( sQ247_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4661,f4709,f5236]) ).

fof(f5240,definition,
    ! [X1,X2] :
      ( sQ248_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).

fof(f5241,plain,
    ! [X0,X1] :
      ( ~ sQ248_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f5240]) ).

fof(f5243,plain,
    ( sQ248_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4662,f4709,f5240]) ).

fof(f5244,definition,
    ! [X1,X2] :
      ( sQ249_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).

fof(f5245,plain,
    ! [X0,X1] :
      ( ~ sQ249_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f5244]) ).

fof(f5247,plain,
    ( sQ249_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4663,f4709,f5244]) ).

fof(f5248,definition,
    ! [X1,X2] :
      ( sQ250_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).

fof(f5249,plain,
    ! [X0,X1] :
      ( ~ sQ250_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f5248]) ).

fof(f5251,plain,
    ( sQ250_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4664,f4709,f5248]) ).

fof(f5252,definition,
    ! [X1,X2] :
      ( sQ251_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).

fof(f5253,plain,
    ! [X0,X1] :
      ( ~ sQ251_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))) ),
    inference(component_clause,[status(thm)],[f5252]) ).

fof(f5255,plain,
    ( sQ251_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4665,f4709,f5252]) ).

fof(f5256,definition,
    ! [X1,X2] :
      ( sQ252_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).

fof(f5257,plain,
    ! [X0,X1] :
      ( ~ sQ252_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(component_clause,[status(thm)],[f5256]) ).

fof(f5259,plain,
    ( sQ252_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4666,f4709,f5256]) ).

fof(f5260,definition,
    ! [X1] :
      ( sQ253_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).

fof(f5261,plain,
    ! [X0] :
      ( ~ sQ253_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f5260]) ).

fof(f5263,plain,
    ( sQ253_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4667,f4709,f5260]) ).

fof(f5264,definition,
    ! [X1] :
      ( sQ254_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).

fof(f5265,plain,
    ! [X0] :
      ( ~ sQ254_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f5264]) ).

fof(f5267,plain,
    ( sQ254_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4668,f4709,f5264]) ).

fof(f5268,definition,
    ! [X1,X2] :
      ( sQ255_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).

fof(f5269,plain,
    ! [X0,X1] :
      ( ~ sQ255_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(component_clause,[status(thm)],[f5268]) ).

fof(f5271,plain,
    ( sQ255_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4669,f4709,f5268]) ).

fof(f5272,definition,
    ! [X1,X2] :
      ( sQ256_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).

fof(f5273,plain,
    ! [X0,X1] :
      ( ~ sQ256_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(component_clause,[status(thm)],[f5272]) ).

fof(f5275,plain,
    ( sQ256_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4670,f4709,f5272]) ).

fof(f5276,definition,
    ! [X1,X2] :
      ( sQ257_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).

fof(f5277,plain,
    ! [X0,X1] :
      ( ~ sQ257_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5276]) ).

fof(f5279,plain,
    ( sQ257_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4671,f4709,f5276]) ).

fof(f5280,definition,
    ! [X1,X2] :
      ( sQ258_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).

fof(f5281,plain,
    ! [X0,X1] :
      ( ~ sQ258_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5280]) ).

fof(f5283,plain,
    ( sQ258_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4672,f4709,f5280]) ).

fof(f5284,definition,
    ! [X1,X2] :
      ( sQ259_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).

fof(f5285,plain,
    ! [X0,X1] :
      ( ~ sQ259_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(component_clause,[status(thm)],[f5284]) ).

fof(f5287,plain,
    ( sQ259_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4673,f4709,f5284]) ).

fof(f5288,definition,
    ! [X1] :
      ( sQ260_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).

fof(f5289,plain,
    ! [X0] :
      ( ~ sQ260_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f5288]) ).

fof(f5291,plain,
    ( sQ260_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4674,f4709,f5288]) ).

fof(f5292,definition,
    ! [X1,X2] :
      ( sQ261_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).

fof(f5293,plain,
    ! [X0,X1] :
      ( ~ sQ261_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))) ),
    inference(component_clause,[status(thm)],[f5292]) ).

fof(f5295,plain,
    ( sQ261_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4675,f4709,f5292]) ).

fof(f5296,definition,
    ! [X1,X2] :
      ( sQ262_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).

fof(f5297,plain,
    ! [X0,X1] :
      ( ~ sQ262_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))) ),
    inference(component_clause,[status(thm)],[f5296]) ).

fof(f5299,plain,
    ( sQ262_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4676,f4709,f5296]) ).

fof(f5300,definition,
    ! [X1,X2] :
      ( sQ263_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).

fof(f5301,plain,
    ! [X0,X1] :
      ( ~ sQ263_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5300]) ).

fof(f5303,plain,
    ( sQ263_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4677,f4709,f5300]) ).

fof(f5304,definition,
    ! [X1,X2] :
      ( sQ264_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).

fof(f5305,plain,
    ! [X0,X1] :
      ( ~ sQ264_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))) ),
    inference(component_clause,[status(thm)],[f5304]) ).

fof(f5307,plain,
    ( sQ264_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4678,f4709,f5304]) ).

fof(f5308,definition,
    ! [X1,X2] :
      ( sQ265_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).

fof(f5309,plain,
    ! [X0,X1] :
      ( ~ sQ265_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(component_clause,[status(thm)],[f5308]) ).

fof(f5311,plain,
    ( sQ265_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4679,f4709,f5308]) ).

fof(f5312,definition,
    ! [X1] :
      ( sQ266_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).

fof(f5313,plain,
    ! [X0] :
      ( ~ sQ266_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f5312]) ).

fof(f5315,plain,
    ( sQ266_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4680,f4709,f5312]) ).

fof(f5316,definition,
    ! [X1] :
      ( sQ267_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,cx)) ),
    introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).

fof(f5317,plain,
    ! [X0] :
      ( ~ sQ267_spl
      | element_of_set(X0,intersection_of_sets(empty_set,cx)) ),
    inference(component_clause,[status(thm)],[f5316]) ).

fof(f5319,plain,
    ( sQ267_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4681,f4709,f5316]) ).

fof(f5320,definition,
    ! [X1] :
      ( sQ268_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,empty_set)) ),
    introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).

fof(f5321,plain,
    ! [X0] :
      ( ~ sQ268_spl
      | element_of_set(X0,intersection_of_sets(empty_set,empty_set)) ),
    inference(component_clause,[status(thm)],[f5320]) ).

fof(f5323,plain,
    ( sQ268_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4682,f4709,f5320]) ).

fof(f5324,definition,
    ! [X1] :
      ( sQ269_spl
    <=> element_of_set(X1,empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).

fof(f5325,plain,
    ! [X0] :
      ( ~ sQ269_spl
      | element_of_set(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f5324]) ).

fof(f5327,plain,
    ( sQ269_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4683,f4709,f5324]) ).

fof(f5328,definition,
    ! [X1] :
      ( sQ270_spl
    <=> element_of_set(X1,cx) ),
    introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).

fof(f5329,plain,
    ! [X0] :
      ( ~ sQ270_spl
      | element_of_set(X0,cx) ),
    inference(component_clause,[status(thm)],[f5328]) ).

fof(f5331,plain,
    ( sQ270_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f4684,f4709,f5328]) ).

fof(f5332,plain,
    ! [X0,X1] :
      ( ~ sQ109_spl
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4686,f114]) ).

fof(f5333,plain,
    ! [X0,X1] :
      ( ~ sQ109_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4686,f113]) ).

fof(f5334,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f3035]) ).

fof(f5335,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f291]) ).

fof(f5336,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f284]) ).

fof(f5337,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f282]) ).

fof(f5338,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f1148]) ).

fof(f5339,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f371]) ).

fof(f5340,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f366]) ).

fof(f5341,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f361]) ).

fof(f5342,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f356]) ).

fof(f5343,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f351]) ).

fof(f5344,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f346]) ).

fof(f5345,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f341]) ).

fof(f5346,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f432]) ).

fof(f5347,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f336]) ).

fof(f5348,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f331]) ).

fof(f5349,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f316]) ).

fof(f5350,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f312]) ).

fof(f5351,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f308]) ).

fof(f5352,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f278]) ).

fof(f5353,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f277]) ).

fof(f5354,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f276]) ).

fof(f5355,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f4396]) ).

fof(f5356,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f3199]) ).

fof(f5357,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f116]) ).

fof(f5358,definition,
    ! [X0,X2] :
      ( sQ271_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).

fof(f5359,plain,
    ! [X0,X1] :
      ( ~ sQ271_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5358]) ).

fof(f5361,plain,
    ( sQ115_spl
    | sQ271_spl ),
    inference(split_clause,[status(thm)],[f5355,f5358,f4709]) ).

fof(f5362,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f3035]) ).

fof(f5363,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f291]) ).

fof(f5364,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f284]) ).

fof(f5365,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f282]) ).

fof(f5366,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f1148]) ).

fof(f5367,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f371]) ).

fof(f5368,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f366]) ).

fof(f5369,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f361]) ).

fof(f5370,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f356]) ).

fof(f5371,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f351]) ).

fof(f5372,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f346]) ).

fof(f5373,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f341]) ).

fof(f5374,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f432]) ).

fof(f5375,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f336]) ).

fof(f5376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f331]) ).

fof(f5377,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f316]) ).

fof(f5378,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f312]) ).

fof(f5379,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f308]) ).

fof(f5380,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f278]) ).

fof(f5381,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f277]) ).

fof(f5382,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f276]) ).

fof(f5383,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f4396]) ).

fof(f5384,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f3199]) ).

fof(f5385,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f116]) ).

fof(f5386,definition,
    ! [X0,X2] :
      ( sQ272_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).

fof(f5387,plain,
    ! [X0,X1] :
      ( ~ sQ272_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5386]) ).

fof(f5389,plain,
    ( sQ115_spl
    | sQ272_spl ),
    inference(split_clause,[status(thm)],[f5383,f5386,f4709]) ).

fof(f5390,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f3035]) ).

fof(f5391,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f291]) ).

fof(f5392,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f284]) ).

fof(f5393,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f282]) ).

fof(f5394,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f1148]) ).

fof(f5395,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f371]) ).

fof(f5396,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f366]) ).

fof(f5397,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f361]) ).

fof(f5398,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f356]) ).

fof(f5399,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f351]) ).

fof(f5400,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f346]) ).

fof(f5401,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f341]) ).

fof(f5402,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f432]) ).

fof(f5403,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f336]) ).

fof(f5404,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f331]) ).

fof(f5405,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f316]) ).

fof(f5406,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f312]) ).

fof(f5407,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f308]) ).

fof(f5408,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f278]) ).

fof(f5409,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f277]) ).

fof(f5410,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f276]) ).

fof(f5411,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f4396]) ).

fof(f5412,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f3199]) ).

fof(f5413,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f116]) ).

fof(f5414,definition,
    ! [X0,X2] :
      ( sQ273_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).

fof(f5415,plain,
    ! [X0,X1] :
      ( ~ sQ273_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5414]) ).

fof(f5417,plain,
    ( sQ115_spl
    | sQ273_spl ),
    inference(split_clause,[status(thm)],[f5411,f5414,f4709]) ).

fof(f5418,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f3035]) ).

fof(f5419,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f291]) ).

fof(f5420,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f284]) ).

fof(f5421,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f282]) ).

fof(f5422,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f1148]) ).

fof(f5423,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f371]) ).

fof(f5424,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f366]) ).

fof(f5425,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f361]) ).

fof(f5426,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f356]) ).

fof(f5427,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f351]) ).

fof(f5428,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f346]) ).

fof(f5429,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f341]) ).

fof(f5430,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f432]) ).

fof(f5431,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f336]) ).

fof(f5432,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f331]) ).

fof(f5433,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f316]) ).

fof(f5434,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f312]) ).

fof(f5435,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f308]) ).

fof(f5436,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f278]) ).

fof(f5437,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f277]) ).

fof(f5438,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f276]) ).

fof(f5439,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f4396]) ).

fof(f5440,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f3199]) ).

fof(f5441,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f116]) ).

fof(f5442,definition,
    ! [X0,X2] :
      ( sQ274_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).

fof(f5443,plain,
    ! [X0,X1] :
      ( ~ sQ274_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5442]) ).

fof(f5445,plain,
    ( sQ115_spl
    | sQ274_spl ),
    inference(split_clause,[status(thm)],[f5439,f5442,f4709]) ).

fof(f5446,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f3035]) ).

fof(f5447,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f291]) ).

fof(f5448,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f284]) ).

fof(f5449,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f282]) ).

fof(f5450,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f1148]) ).

fof(f5451,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f371]) ).

fof(f5452,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f366]) ).

fof(f5453,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f361]) ).

fof(f5454,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f356]) ).

fof(f5455,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f351]) ).

fof(f5456,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f346]) ).

fof(f5457,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f341]) ).

fof(f5458,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f432]) ).

fof(f5459,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f336]) ).

fof(f5460,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f331]) ).

fof(f5461,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f316]) ).

fof(f5462,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f312]) ).

fof(f5463,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f308]) ).

fof(f5464,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f278]) ).

fof(f5465,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f277]) ).

fof(f5466,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f276]) ).

fof(f5467,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f4396]) ).

fof(f5468,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f3199]) ).

fof(f5469,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f116]) ).

fof(f5470,definition,
    ! [X0,X2] :
      ( sQ275_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).

fof(f5471,plain,
    ! [X0,X1] :
      ( ~ sQ275_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5470]) ).

fof(f5473,plain,
    ( sQ115_spl
    | sQ275_spl ),
    inference(split_clause,[status(thm)],[f5467,f5470,f4709]) ).

fof(f5474,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f3035]) ).

fof(f5475,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f291]) ).

fof(f5476,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f284]) ).

fof(f5477,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f282]) ).

fof(f5478,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f1148]) ).

fof(f5479,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f371]) ).

fof(f5480,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f366]) ).

fof(f5481,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f361]) ).

fof(f5482,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f356]) ).

fof(f5483,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f351]) ).

fof(f5484,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f346]) ).

fof(f5485,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f341]) ).

fof(f5486,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f432]) ).

fof(f5487,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f336]) ).

fof(f5488,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f331]) ).

fof(f5489,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f316]) ).

fof(f5490,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f312]) ).

fof(f5491,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f308]) ).

fof(f5492,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f278]) ).

fof(f5493,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f277]) ).

fof(f5494,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f276]) ).

fof(f5495,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f4396]) ).

fof(f5496,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f3199]) ).

fof(f5497,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f116]) ).

fof(f5498,definition,
    ! [X0,X2] :
      ( sQ276_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).

fof(f5499,plain,
    ! [X0,X1] :
      ( ~ sQ276_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5498]) ).

fof(f5501,plain,
    ( sQ115_spl
    | sQ276_spl ),
    inference(split_clause,[status(thm)],[f5495,f5498,f4709]) ).

fof(f5502,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f3035]) ).

fof(f5503,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f291]) ).

fof(f5504,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f284]) ).

fof(f5505,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f282]) ).

fof(f5506,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f1148]) ).

fof(f5507,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f371]) ).

fof(f5508,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f366]) ).

fof(f5509,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f361]) ).

fof(f5510,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f356]) ).

fof(f5511,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f351]) ).

fof(f5512,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f346]) ).

fof(f5513,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f341]) ).

fof(f5514,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f432]) ).

fof(f5515,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f336]) ).

fof(f5516,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f331]) ).

fof(f5517,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f316]) ).

fof(f5518,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f312]) ).

fof(f5519,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f308]) ).

fof(f5520,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f278]) ).

fof(f5521,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f277]) ).

fof(f5522,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f276]) ).

fof(f5523,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f4396]) ).

fof(f5524,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f3199]) ).

fof(f5525,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f116]) ).

fof(f5526,definition,
    ! [X0,X2] :
      ( sQ277_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).

fof(f5527,plain,
    ! [X0,X1] :
      ( ~ sQ277_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5526]) ).

fof(f5529,plain,
    ( sQ115_spl
    | sQ277_spl ),
    inference(split_clause,[status(thm)],[f5523,f5526,f4709]) ).

fof(f5530,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f3035]) ).

fof(f5531,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f291]) ).

fof(f5532,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f284]) ).

fof(f5533,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f282]) ).

fof(f5534,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f1148]) ).

fof(f5535,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f371]) ).

fof(f5536,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f366]) ).

fof(f5537,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f361]) ).

fof(f5538,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f356]) ).

fof(f5539,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f351]) ).

fof(f5540,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f346]) ).

fof(f5541,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f341]) ).

fof(f5542,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f432]) ).

fof(f5543,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f336]) ).

fof(f5544,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f331]) ).

fof(f5545,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f316]) ).

fof(f5546,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f312]) ).

fof(f5547,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f308]) ).

fof(f5548,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f278]) ).

fof(f5549,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f277]) ).

fof(f5550,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f276]) ).

fof(f5551,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f4396]) ).

fof(f5552,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f3199]) ).

fof(f5553,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f116]) ).

fof(f5554,definition,
    ! [X0,X2] :
      ( sQ278_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).

fof(f5555,plain,
    ! [X0,X1] :
      ( ~ sQ278_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5554]) ).

fof(f5557,plain,
    ( sQ115_spl
    | sQ278_spl ),
    inference(split_clause,[status(thm)],[f5551,f5554,f4709]) ).

fof(f5558,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f3035]) ).

fof(f5559,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f291]) ).

fof(f5560,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f284]) ).

fof(f5561,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f282]) ).

fof(f5562,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f1148]) ).

fof(f5563,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f371]) ).

fof(f5564,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f366]) ).

fof(f5565,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f361]) ).

fof(f5566,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f356]) ).

fof(f5567,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f351]) ).

fof(f5568,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f346]) ).

fof(f5569,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f341]) ).

fof(f5570,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f432]) ).

fof(f5571,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f336]) ).

fof(f5572,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f331]) ).

fof(f5573,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f316]) ).

fof(f5574,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f312]) ).

fof(f5575,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f308]) ).

fof(f5576,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f278]) ).

fof(f5577,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f277]) ).

fof(f5578,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f276]) ).

fof(f5579,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f4396]) ).

fof(f5580,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f3199]) ).

fof(f5581,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f116]) ).

fof(f5582,definition,
    ! [X0,X2] :
      ( sQ279_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).

fof(f5583,plain,
    ! [X0,X1] :
      ( ~ sQ279_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5582]) ).

fof(f5585,plain,
    ( sQ115_spl
    | sQ279_spl ),
    inference(split_clause,[status(thm)],[f5579,f5582,f4709]) ).

fof(f5586,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f3035]) ).

fof(f5587,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f291]) ).

fof(f5588,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f284]) ).

fof(f5589,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f282]) ).

fof(f5590,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f1148]) ).

fof(f5591,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f371]) ).

fof(f5592,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f366]) ).

fof(f5593,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f361]) ).

fof(f5594,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f356]) ).

fof(f5595,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f351]) ).

fof(f5596,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f346]) ).

fof(f5597,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f341]) ).

fof(f5598,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f432]) ).

fof(f5599,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f336]) ).

fof(f5600,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f331]) ).

fof(f5601,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f316]) ).

fof(f5602,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f312]) ).

fof(f5603,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f308]) ).

fof(f5604,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f278]) ).

fof(f5605,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f277]) ).

fof(f5606,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f276]) ).

fof(f5607,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f4396]) ).

fof(f5608,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f3199]) ).

fof(f5609,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f116]) ).

fof(f5610,definition,
    ! [X0,X2] :
      ( sQ280_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).

fof(f5611,plain,
    ! [X0,X1] :
      ( ~ sQ280_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f5610]) ).

fof(f5613,plain,
    ( sQ115_spl
    | sQ280_spl ),
    inference(split_clause,[status(thm)],[f5607,f5610,f4709]) ).

fof(f5614,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f3035]) ).

fof(f5615,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f291]) ).

fof(f5616,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f284]) ).

fof(f5617,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f282]) ).

fof(f5618,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f1148]) ).

fof(f5619,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f371]) ).

fof(f5620,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f366]) ).

fof(f5621,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f361]) ).

fof(f5622,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f356]) ).

fof(f5623,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f351]) ).

fof(f5624,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f346]) ).

fof(f5625,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f341]) ).

fof(f5626,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f432]) ).

fof(f5627,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f336]) ).

fof(f5628,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f331]) ).

fof(f5629,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f316]) ).

fof(f5630,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f312]) ).

fof(f5631,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f308]) ).

fof(f5632,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f278]) ).

fof(f5633,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f277]) ).

fof(f5634,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f276]) ).

fof(f5635,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f4396]) ).

fof(f5636,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f3199]) ).

fof(f5637,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f116]) ).

fof(f5638,definition,
    ! [X0,X2] :
      ( sQ281_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).

fof(f5639,plain,
    ! [X0,X1] :
      ( ~ sQ281_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5638]) ).

fof(f5641,plain,
    ( sQ115_spl
    | sQ281_spl ),
    inference(split_clause,[status(thm)],[f5635,f5638,f4709]) ).

fof(f5642,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f3035]) ).

fof(f5643,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f291]) ).

fof(f5644,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f284]) ).

fof(f5645,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f282]) ).

fof(f5646,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f1148]) ).

fof(f5647,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f371]) ).

fof(f5648,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f366]) ).

fof(f5649,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f361]) ).

fof(f5650,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f356]) ).

fof(f5651,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f351]) ).

fof(f5652,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f346]) ).

fof(f5653,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f341]) ).

fof(f5654,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f432]) ).

fof(f5655,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f336]) ).

fof(f5656,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f331]) ).

fof(f5657,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f316]) ).

fof(f5658,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f312]) ).

fof(f5659,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f308]) ).

fof(f5660,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f278]) ).

fof(f5661,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f277]) ).

fof(f5662,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f276]) ).

fof(f5663,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f4396]) ).

fof(f5664,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f3199]) ).

fof(f5665,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f116]) ).

fof(f5666,definition,
    ! [X0,X2] :
      ( sQ282_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).

fof(f5667,plain,
    ! [X0,X1] :
      ( ~ sQ282_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5666]) ).

fof(f5669,plain,
    ( sQ115_spl
    | sQ282_spl ),
    inference(split_clause,[status(thm)],[f5663,f5666,f4709]) ).

fof(f5670,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f3035]) ).

fof(f5671,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f291]) ).

fof(f5672,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f284]) ).

fof(f5673,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f282]) ).

fof(f5674,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f1148]) ).

fof(f5675,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f371]) ).

fof(f5676,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f366]) ).

fof(f5677,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f361]) ).

fof(f5678,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f356]) ).

fof(f5679,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f351]) ).

fof(f5680,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f346]) ).

fof(f5681,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f341]) ).

fof(f5682,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f432]) ).

fof(f5683,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f336]) ).

fof(f5684,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f331]) ).

fof(f5685,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f316]) ).

fof(f5686,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f312]) ).

fof(f5687,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f308]) ).

fof(f5688,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f278]) ).

fof(f5689,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f277]) ).

fof(f5690,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f276]) ).

fof(f5691,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f4396]) ).

fof(f5692,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f3199]) ).

fof(f5693,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f116]) ).

fof(f5694,definition,
    ! [X0,X2] :
      ( sQ283_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).

fof(f5695,plain,
    ! [X0,X1] :
      ( ~ sQ283_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5694]) ).

fof(f5697,plain,
    ( sQ115_spl
    | sQ283_spl ),
    inference(split_clause,[status(thm)],[f5691,f5694,f4709]) ).

fof(f5698,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f16(X1,a,cx,ct)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3357]) ).

fof(f5699,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f4364]) ).

fof(f5700,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3203]) ).

fof(f5701,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3201]) ).

fof(f5702,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f4399]) ).

fof(f5703,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1159]) ).

fof(f5704,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1083]) ).

fof(f5705,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f2(ct,X1)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f119]) ).

fof(f5706,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2340]) ).

fof(f5707,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2339]) ).

fof(f5708,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2452]) ).

fof(f5709,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2451]) ).

fof(f5710,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2300]) ).

fof(f5711,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2299]) ).

fof(f5712,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2154]) ).

fof(f5713,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2153]) ).

fof(f5714,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2012]) ).

fof(f5715,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2011]) ).

fof(f5716,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f581]) ).

fof(f5717,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f580]) ).

fof(f5718,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f573]) ).

fof(f5719,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f572]) ).

fof(f5720,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f583]) ).

fof(f5721,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f582]) ).

fof(f5722,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f531]) ).

fof(f5723,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f530]) ).

fof(f5724,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f523]) ).

fof(f5725,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f522]) ).

fof(f5726,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f533]) ).

fof(f5727,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f532]) ).

fof(f5728,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3213]) ).

fof(f5729,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2865]) ).

fof(f5730,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2861]) ).

fof(f5731,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2830]) ).

fof(f5732,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2829]) ).

fof(f5733,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2776]) ).

fof(f5734,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3214]) ).

fof(f5735,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2569]) ).

fof(f5736,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2565]) ).

fof(f5737,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2538]) ).

fof(f5738,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2537]) ).

fof(f5739,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2486]) ).

fof(f5740,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2599]) ).

fof(f5741,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2598]) ).

fof(f5742,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1874]) ).

fof(f5743,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1873]) ).

fof(f5744,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1610]) ).

fof(f5745,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1609]) ).

fof(f5746,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f457]) ).

fof(f5747,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f456]) ).

fof(f5748,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f449]) ).

fof(f5749,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f448]) ).

fof(f5750,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f459]) ).

fof(f5751,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f458]) ).

fof(f5752,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3212]) ).

fof(f5753,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2990]) ).

fof(f5754,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2986]) ).

fof(f5755,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2955]) ).

fof(f5756,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2954]) ).

fof(f5757,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2901]) ).

fof(f5758,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1740]) ).

fof(f5759,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1739]) ).

fof(f5760,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1484]) ).

fof(f5761,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1483]) ).

fof(f5762,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f419]) ).

fof(f5763,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f418]) ).

fof(f5764,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f411]) ).

fof(f5765,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f410]) ).

fof(f5766,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f421]) ).

fof(f5767,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f420]) ).

fof(f5768,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1145]) ).

fof(f5769,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f318]) ).

fof(f5770,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2766]) ).

fof(f5771,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2747]) ).

fof(f5772,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f429]) ).

fof(f5773,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f333]) ).

fof(f5774,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f328]) ).

fof(f5775,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2728]) ).

fof(f5776,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2690]) ).

fof(f5777,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2614]) ).

fof(f5778,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f323]) ).

fof(f5779,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f322]) ).

fof(f5780,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f325]) ).

fof(f5781,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f324]) ).

fof(f5782,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2652]) ).

fof(f5783,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2633]) ).

fof(f5784,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2709]) ).

fof(f5785,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2671]) ).

fof(f5786,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f338]) ).

fof(f5787,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f319]) ).

fof(f5788,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f321]) ).

fof(f5789,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f320]) ).

fof(f5790,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f327]) ).

fof(f5791,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f326]) ).

fof(f5792,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3381]) ).

fof(f5793,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3251]) ).

fof(f5794,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3229]) ).

fof(f5795,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1146]) ).

fof(f5796,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f598]) ).

fof(f5797,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f589]) ).

fof(f5798,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f546]) ).

fof(f5799,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f538]) ).

fof(f5800,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f491]) ).

fof(f5801,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f484]) ).

fof(f5802,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f477]) ).

fof(f5803,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f424]) ).

fof(f5804,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f430]) ).

fof(f5805,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f374]) ).

fof(f5806,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f369]) ).

fof(f5807,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f364]) ).

fof(f5808,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f359]) ).

fof(f5809,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f334]) ).

fof(f5810,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f329]) ).

fof(f5811,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f286]) ).

fof(f5812,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f285]) ).

fof(f5813,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f394]) ).

fof(f5814,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f384]) ).

fof(f5815,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f354]) ).

fof(f5816,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f344]) ).

fof(f5817,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f314]) ).

fof(f5818,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f292]) ).

fof(f5819,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f289]) ).

fof(f5820,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f389]) ).

fof(f5821,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f379]) ).

fof(f5822,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f349]) ).

fof(f5823,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f339]) ).

fof(f5824,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f310]) ).

fof(f5825,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f306]) ).

fof(f5826,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f288]) ).

fof(f5827,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f287]) ).

fof(f5828,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3382]) ).

fof(f5829,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3252]) ).

fof(f5830,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3230]) ).

fof(f5831,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1147]) ).

fof(f5832,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f307]) ).

fof(f5833,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f599]) ).

fof(f5834,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f590]) ).

fof(f5835,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f547]) ).

fof(f5836,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f539]) ).

fof(f5837,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f492]) ).

fof(f5838,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f485]) ).

fof(f5839,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f478]) ).

fof(f5840,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f425]) ).

fof(f5841,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f431]) ).

fof(f5842,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f375]) ).

fof(f5843,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f370]) ).

fof(f5844,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f365]) ).

fof(f5845,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f360]) ).

fof(f5846,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f335]) ).

fof(f5847,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f330]) ).

fof(f5848,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f293]) ).

fof(f5849,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f290]) ).

fof(f5850,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f390]) ).

fof(f5851,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f380]) ).

fof(f5852,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f350]) ).

fof(f5853,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f340]) ).

fof(f5854,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f311]) ).

fof(f5855,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f283]) ).

fof(f5856,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f395]) ).

fof(f5857,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f385]) ).

fof(f5858,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f355]) ).

fof(f5859,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f345]) ).

fof(f5860,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f315]) ).

fof(f5861,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f281]) ).

fof(f5862,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f280]) ).

fof(f5863,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f279]) ).

fof(f5864,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f275]) ).

fof(f5865,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f274]) ).

fof(f5866,definition,
    ! [X0,X1] :
      ( sQ284_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).

fof(f5867,plain,
    ! [X0,X1] :
      ( ~ sQ284_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5866]) ).

fof(f5869,plain,
    ( sQ88_spl
    | sQ284_spl ),
    inference(split_clause,[status(thm)],[f5702,f5866,f4436]) ).

fof(f5870,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f3231]) ).

fof(f5871,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f3035]) ).

fof(f5872,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f291]) ).

fof(f5873,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f284]) ).

fof(f5874,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f282]) ).

fof(f5875,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f1148]) ).

fof(f5876,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f371]) ).

fof(f5877,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f366]) ).

fof(f5878,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f361]) ).

fof(f5879,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f356]) ).

fof(f5880,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f351]) ).

fof(f5881,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f346]) ).

fof(f5882,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f341]) ).

fof(f5883,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f432]) ).

fof(f5884,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f336]) ).

fof(f5885,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f331]) ).

fof(f5886,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f316]) ).

fof(f5887,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f312]) ).

fof(f5888,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f308]) ).

fof(f5889,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f278]) ).

fof(f5890,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f277]) ).

fof(f5891,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f276]) ).

fof(f5892,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f4396]) ).

fof(f5893,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f3199]) ).

fof(f5894,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f116]) ).

fof(f5895,definition,
    ! [X0,X2] :
      ( sQ285_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).

fof(f5896,plain,
    ! [X0,X1] :
      ( ~ sQ285_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5895]) ).

fof(f5898,plain,
    ( sQ115_spl
    | sQ285_spl ),
    inference(split_clause,[status(thm)],[f5892,f5895,f4709]) ).

fof(f5899,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f3231]) ).

fof(f5900,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f3035]) ).

fof(f5901,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f291]) ).

fof(f5902,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f284]) ).

fof(f5903,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f282]) ).

fof(f5904,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f1148]) ).

fof(f5905,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f371]) ).

fof(f5906,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f366]) ).

fof(f5907,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f361]) ).

fof(f5908,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f356]) ).

fof(f5909,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f351]) ).

fof(f5910,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f346]) ).

fof(f5911,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f341]) ).

fof(f5912,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f432]) ).

fof(f5913,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f336]) ).

fof(f5914,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f331]) ).

fof(f5915,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f316]) ).

fof(f5916,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f312]) ).

fof(f5917,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f308]) ).

fof(f5918,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f278]) ).

fof(f5919,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f277]) ).

fof(f5920,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f276]) ).

fof(f5921,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f4396]) ).

fof(f5922,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f3199]) ).

fof(f5923,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f116]) ).

fof(f5924,definition,
    ! [X0,X2] :
      ( sQ286_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).

fof(f5925,plain,
    ! [X0,X1] :
      ( ~ sQ286_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5924]) ).

fof(f5927,plain,
    ( sQ115_spl
    | sQ286_spl ),
    inference(split_clause,[status(thm)],[f5921,f5924,f4709]) ).

fof(f5929,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5871,f184]) ).

fof(f5930,definition,
    ! [X0,X1,X2] :
      ( sQ287_spl
    <=> ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).

fof(f5931,plain,
    ! [X0,X1,X2] :
      ( ~ sQ287_spl
      | ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5930]) ).

fof(f5933,plain,
    ( ~ sQ13_spl
    | sQ287_spl ),
    inference(split_clause,[status(thm)],[f5929,f5930,f1367]) ).

fof(f5935,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5900,f184]) ).

fof(f5936,definition,
    ! [X0,X1,X2] :
      ( sQ288_spl
    <=> ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).

fof(f5937,plain,
    ! [X0,X1,X2] :
      ( ~ sQ288_spl
      | ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5936]) ).

fof(f5939,plain,
    ( ~ sQ13_spl
    | sQ288_spl ),
    inference(split_clause,[status(thm)],[f5935,f5936,f1367]) ).

fof(f5940,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f3231]) ).

fof(f5941,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f3035]) ).

fof(f5942,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f291]) ).

fof(f5943,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f284]) ).

fof(f5944,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f282]) ).

fof(f5945,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f1148]) ).

fof(f5946,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f371]) ).

fof(f5947,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f366]) ).

fof(f5948,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f361]) ).

fof(f5949,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f356]) ).

fof(f5950,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f351]) ).

fof(f5951,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f346]) ).

fof(f5952,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f341]) ).

fof(f5953,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f432]) ).

fof(f5954,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f336]) ).

fof(f5955,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f331]) ).

fof(f5956,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f316]) ).

fof(f5957,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f312]) ).

fof(f5958,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f308]) ).

fof(f5959,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f278]) ).

fof(f5960,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f277]) ).

fof(f5961,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f276]) ).

fof(f5962,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f4396]) ).

fof(f5963,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f3199]) ).

fof(f5964,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f116]) ).

fof(f5965,definition,
    ! [X0,X2] :
      ( sQ289_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).

fof(f5966,plain,
    ! [X0,X1] :
      ( ~ sQ289_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5965]) ).

fof(f5968,plain,
    ( sQ115_spl
    | sQ289_spl ),
    inference(split_clause,[status(thm)],[f5962,f5965,f4709]) ).

fof(f5969,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f3231]) ).

fof(f5970,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f3035]) ).

fof(f5971,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f291]) ).

fof(f5972,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f284]) ).

fof(f5973,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f282]) ).

fof(f5974,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f1148]) ).

fof(f5975,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f371]) ).

fof(f5976,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f366]) ).

fof(f5977,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f361]) ).

fof(f5978,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f356]) ).

fof(f5979,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f351]) ).

fof(f5980,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f346]) ).

fof(f5981,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f341]) ).

fof(f5982,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f432]) ).

fof(f5983,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f336]) ).

fof(f5984,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f331]) ).

fof(f5985,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f316]) ).

fof(f5986,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f312]) ).

fof(f5987,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f308]) ).

fof(f5988,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f278]) ).

fof(f5989,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f277]) ).

fof(f5990,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f276]) ).

fof(f5991,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f4396]) ).

fof(f5992,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f3199]) ).

fof(f5993,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f116]) ).

fof(f5994,definition,
    ! [X0,X2] :
      ( sQ290_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).

fof(f5995,plain,
    ! [X0,X1] :
      ( ~ sQ290_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f5994]) ).

fof(f5997,plain,
    ( sQ115_spl
    | sQ290_spl ),
    inference(split_clause,[status(thm)],[f5991,f5994,f4709]) ).

fof(f5998,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f3231]) ).

fof(f5999,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f3035]) ).

fof(f6000,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f291]) ).

fof(f6001,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f284]) ).

fof(f6002,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f282]) ).

fof(f6003,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f1148]) ).

fof(f6004,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f371]) ).

fof(f6005,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f366]) ).

fof(f6006,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f361]) ).

fof(f6007,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f356]) ).

fof(f6008,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f351]) ).

fof(f6009,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f346]) ).

fof(f6010,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f341]) ).

fof(f6011,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f432]) ).

fof(f6012,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f336]) ).

fof(f6013,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f331]) ).

fof(f6014,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f316]) ).

fof(f6015,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f312]) ).

fof(f6016,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f308]) ).

fof(f6017,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f278]) ).

fof(f6018,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f277]) ).

fof(f6019,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f276]) ).

fof(f6020,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f4396]) ).

fof(f6021,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f3199]) ).

fof(f6022,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f116]) ).

fof(f6023,definition,
    ! [X0,X2] :
      ( sQ291_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).

fof(f6024,plain,
    ! [X0,X1] :
      ( ~ sQ291_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6023]) ).

fof(f6026,plain,
    ( sQ115_spl
    | sQ291_spl ),
    inference(split_clause,[status(thm)],[f6020,f6023,f4709]) ).

fof(f6027,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f16(X1,a,cx,ct)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3357]) ).

fof(f6028,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f4364]) ).

fof(f6029,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3203]) ).

fof(f6030,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3201]) ).

fof(f6031,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f4399]) ).

fof(f6032,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1159]) ).

fof(f6033,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1083]) ).

fof(f6034,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f2(ct,X1)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f119]) ).

fof(f6035,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5865]) ).

fof(f6036,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5864]) ).

fof(f6037,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2340]) ).

fof(f6038,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2339]) ).

fof(f6039,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2452]) ).

fof(f6040,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2451]) ).

fof(f6041,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2300]) ).

fof(f6042,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2299]) ).

fof(f6043,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2154]) ).

fof(f6044,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2153]) ).

fof(f6045,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2012]) ).

fof(f6046,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2011]) ).

fof(f6047,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f581]) ).

fof(f6048,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f580]) ).

fof(f6049,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f573]) ).

fof(f6050,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f572]) ).

fof(f6051,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f583]) ).

fof(f6052,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f582]) ).

fof(f6053,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f531]) ).

fof(f6054,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f530]) ).

fof(f6055,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f523]) ).

fof(f6056,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f522]) ).

fof(f6057,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f533]) ).

fof(f6058,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f532]) ).

fof(f6059,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3235]) ).

fof(f6060,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3213]) ).

fof(f6061,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2865]) ).

fof(f6062,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2861]) ).

fof(f6063,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2830]) ).

fof(f6064,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2829]) ).

fof(f6065,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2776]) ).

fof(f6066,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3236]) ).

fof(f6067,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3214]) ).

fof(f6068,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2569]) ).

fof(f6069,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2565]) ).

fof(f6070,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2538]) ).

fof(f6071,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2537]) ).

fof(f6072,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2486]) ).

fof(f6073,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2599]) ).

fof(f6074,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2598]) ).

fof(f6075,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1874]) ).

fof(f6076,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1873]) ).

fof(f6077,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1610]) ).

fof(f6078,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1609]) ).

fof(f6079,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f457]) ).

fof(f6080,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f456]) ).

fof(f6081,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f449]) ).

fof(f6082,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f448]) ).

fof(f6083,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f459]) ).

fof(f6084,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f458]) ).

fof(f6085,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3234]) ).

fof(f6086,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3212]) ).

fof(f6087,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2990]) ).

fof(f6088,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2986]) ).

fof(f6089,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2955]) ).

fof(f6090,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2954]) ).

fof(f6091,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2901]) ).

fof(f6092,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1740]) ).

fof(f6093,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1739]) ).

fof(f6094,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1484]) ).

fof(f6095,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1483]) ).

fof(f6096,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f419]) ).

fof(f6097,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f418]) ).

fof(f6098,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f411]) ).

fof(f6099,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f410]) ).

fof(f6100,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f421]) ).

fof(f6101,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f420]) ).

fof(f6102,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1145]) ).

fof(f6103,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f318]) ).

fof(f6104,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2766]) ).

fof(f6105,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2747]) ).

fof(f6106,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),f2(ct,X3)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f429]) ).

fof(f6107,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f333]) ).

fof(f6108,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X2),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f328]) ).

fof(f6109,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2728]) ).

fof(f6110,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2690]) ).

fof(f6111,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2614]) ).

fof(f6112,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f323]) ).

fof(f6113,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f2(ct,X2)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f322]) ).

fof(f6114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f325]) ).

fof(f6115,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f324]) ).

fof(f6116,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2652]) ).

fof(f6117,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2633]) ).

fof(f6118,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2709]) ).

fof(f6119,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2671]) ).

fof(f6120,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f338]) ).

fof(f6121,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f2(ct,X2)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f319]) ).

fof(f6122,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f321]) ).

fof(f6123,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f320]) ).

fof(f6124,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f327]) ).

fof(f6125,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f326]) ).

fof(f6126,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3381]) ).

fof(f6127,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3251]) ).

fof(f6128,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3229]) ).

fof(f6129,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1146]) ).

fof(f6130,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f598]) ).

fof(f6131,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f589]) ).

fof(f6132,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f546]) ).

fof(f6133,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f538]) ).

fof(f6134,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f491]) ).

fof(f6135,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f484]) ).

fof(f6136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f477]) ).

fof(f6137,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f424]) ).

fof(f6138,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f430]) ).

fof(f6139,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f374]) ).

fof(f6140,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f369]) ).

fof(f6141,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f364]) ).

fof(f6142,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f359]) ).

fof(f6143,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f334]) ).

fof(f6144,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f329]) ).

fof(f6145,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f286]) ).

fof(f6146,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f285]) ).

fof(f6147,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f394]) ).

fof(f6148,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f384]) ).

fof(f6149,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f354]) ).

fof(f6150,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f344]) ).

fof(f6151,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f314]) ).

fof(f6152,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f292]) ).

fof(f6153,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f289]) ).

fof(f6154,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f389]) ).

fof(f6155,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f379]) ).

fof(f6156,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f349]) ).

fof(f6157,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f339]) ).

fof(f6158,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f310]) ).

fof(f6159,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f306]) ).

fof(f6160,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f288]) ).

fof(f6161,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f287]) ).

fof(f6162,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3382]) ).

fof(f6163,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3252]) ).

fof(f6164,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3230]) ).

fof(f6165,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1147]) ).

fof(f6166,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f307]) ).

fof(f6167,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f599]) ).

fof(f6168,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f590]) ).

fof(f6169,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f547]) ).

fof(f6170,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f539]) ).

fof(f6171,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f492]) ).

fof(f6172,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f485]) ).

fof(f6173,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f478]) ).

fof(f6174,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f425]) ).

fof(f6175,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f2(ct,X2)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f431]) ).

fof(f6176,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f375]) ).

fof(f6177,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f370]) ).

fof(f6178,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f365]) ).

fof(f6179,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f360]) ).

fof(f6180,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f335]) ).

fof(f6181,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f330]) ).

fof(f6182,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f293]) ).

fof(f6183,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f290]) ).

fof(f6184,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f390]) ).

fof(f6185,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f380]) ).

fof(f6186,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f350]) ).

fof(f6187,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f340]) ).

fof(f6188,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f311]) ).

fof(f6189,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f283]) ).

fof(f6190,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f395]) ).

fof(f6191,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f385]) ).

fof(f6192,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f355]) ).

fof(f6193,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f345]) ).

fof(f6194,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f315]) ).

fof(f6195,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f281]) ).

fof(f6196,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f280]) ).

fof(f6197,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f279]) ).

fof(f6198,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f275]) ).

fof(f6199,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),cx),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f274]) ).

fof(f6200,definition,
    ! [X0,X1] :
      ( sQ292_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).

fof(f6201,plain,
    ! [X0,X1] :
      ( ~ sQ292_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6200]) ).

fof(f6203,plain,
    ( sQ88_spl
    | sQ292_spl ),
    inference(split_clause,[status(thm)],[f6031,f6200,f4436]) ).

fof(f6204,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f3253]) ).

fof(f6205,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f3231]) ).

fof(f6206,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f3035]) ).

fof(f6207,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f291]) ).

fof(f6208,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f284]) ).

fof(f6209,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f282]) ).

fof(f6210,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f1148]) ).

fof(f6211,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f371]) ).

fof(f6212,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f366]) ).

fof(f6213,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f361]) ).

fof(f6214,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f356]) ).

fof(f6215,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f351]) ).

fof(f6216,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f346]) ).

fof(f6217,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f341]) ).

fof(f6218,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f432]) ).

fof(f6219,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f336]) ).

fof(f6220,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f331]) ).

fof(f6221,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f316]) ).

fof(f6222,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f312]) ).

fof(f6223,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f308]) ).

fof(f6224,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f278]) ).

fof(f6225,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f277]) ).

fof(f6226,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f276]) ).

fof(f6227,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f4396]) ).

fof(f6228,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f3199]) ).

fof(f6229,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6198,f116]) ).

fof(f6230,definition,
    ! [X0,X2] :
      ( sQ293_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).

fof(f6231,plain,
    ! [X0,X1] :
      ( ~ sQ293_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6230]) ).

fof(f6233,plain,
    ( sQ115_spl
    | sQ293_spl ),
    inference(split_clause,[status(thm)],[f6227,f6230,f4709]) ).

fof(f6234,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f3253]) ).

fof(f6235,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f3231]) ).

fof(f6236,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,cx)),cx),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f3035]) ).

fof(f6237,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f291]) ).

fof(f6238,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f284]) ).

fof(f6239,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f282]) ).

fof(f6240,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f1148]) ).

fof(f6241,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f371]) ).

fof(f6242,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f366]) ).

fof(f6243,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f361]) ).

fof(f6244,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f356]) ).

fof(f6245,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f351]) ).

fof(f6246,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f346]) ).

fof(f6247,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f341]) ).

fof(f6248,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f432]) ).

fof(f6249,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f336]) ).

fof(f6250,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f331]) ).

fof(f6251,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f316]) ).

fof(f6252,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f312]) ).

fof(f6253,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f308]) ).

fof(f6254,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f278]) ).

fof(f6255,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f277]) ).

fof(f6256,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f276]) ).

fof(f6257,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f4396]) ).

fof(f6258,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f3199]) ).

fof(f6259,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6199,f116]) ).

fof(f6260,definition,
    ! [X0,X2] :
      ( sQ294_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).

fof(f6261,plain,
    ! [X0,X1] :
      ( ~ sQ294_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6260]) ).

fof(f6263,plain,
    ( sQ115_spl
    | sQ294_spl ),
    inference(split_clause,[status(thm)],[f6257,f6260,f4709]) ).

fof(f6265,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6206,f184]) ).

fof(f6266,definition,
    ! [X0,X1,X2] :
      ( sQ295_spl
    <=> ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).

fof(f6267,plain,
    ! [X0,X1,X2] :
      ( ~ sQ295_spl
      | ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6266]) ).

fof(f6269,plain,
    ( ~ sQ13_spl
    | sQ295_spl ),
    inference(split_clause,[status(thm)],[f6265,f6266,f1367]) ).

fof(f6271,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6236,f184]) ).

fof(f6272,definition,
    ! [X0,X1,X2] :
      ( sQ296_spl
    <=> ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).

fof(f6273,plain,
    ! [X0,X1,X2] :
      ( ~ sQ296_spl
      | ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6272]) ).

fof(f6275,plain,
    ( ~ sQ13_spl
    | sQ296_spl ),
    inference(split_clause,[status(thm)],[f6271,f6272,f1367]) ).

fof(f6276,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3253]) ).

fof(f6277,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3231]) ).

fof(f6278,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3035]) ).

fof(f6279,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f291]) ).

fof(f6280,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f284]) ).

fof(f6281,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f282]) ).

fof(f6282,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f1148]) ).

fof(f6283,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f371]) ).

fof(f6284,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f366]) ).

fof(f6285,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f361]) ).

fof(f6286,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f356]) ).

fof(f6287,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f351]) ).

fof(f6288,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f346]) ).

fof(f6289,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f341]) ).

fof(f6290,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f432]) ).

fof(f6291,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f336]) ).

fof(f6292,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f331]) ).

fof(f6293,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f316]) ).

fof(f6294,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f312]) ).

fof(f6295,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f308]) ).

fof(f6296,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f278]) ).

fof(f6297,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f277]) ).

fof(f6298,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f276]) ).

fof(f6299,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f4396]) ).

fof(f6300,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3199]) ).

fof(f6301,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f116]) ).

fof(f6302,definition,
    ! [X0,X2] :
      ( sQ297_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).

fof(f6303,plain,
    ! [X0,X1] :
      ( ~ sQ297_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6302]) ).

fof(f6305,plain,
    ( sQ115_spl
    | sQ297_spl ),
    inference(split_clause,[status(thm)],[f6299,f6302,f4709]) ).

fof(f6306,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3253]) ).

fof(f6307,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3231]) ).

fof(f6308,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3035]) ).

fof(f6309,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f291]) ).

fof(f6310,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f284]) ).

fof(f6311,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f282]) ).

fof(f6312,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f1148]) ).

fof(f6313,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f371]) ).

fof(f6314,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f366]) ).

fof(f6315,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f361]) ).

fof(f6316,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f356]) ).

fof(f6317,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f351]) ).

fof(f6318,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f346]) ).

fof(f6319,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f341]) ).

fof(f6320,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f432]) ).

fof(f6321,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f336]) ).

fof(f6322,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f331]) ).

fof(f6323,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f316]) ).

fof(f6324,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f312]) ).

fof(f6325,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f308]) ).

fof(f6326,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f278]) ).

fof(f6327,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f277]) ).

fof(f6328,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f276]) ).

fof(f6329,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f4396]) ).

fof(f6330,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3199]) ).

fof(f6331,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f116]) ).

fof(f6332,definition,
    ! [X0,X2] :
      ( sQ298_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).

fof(f6333,plain,
    ! [X0,X1] :
      ( ~ sQ298_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6332]) ).

fof(f6335,plain,
    ( sQ115_spl
    | sQ298_spl ),
    inference(split_clause,[status(thm)],[f6329,f6332,f4709]) ).

fof(f6336,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3253]) ).

fof(f6337,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3231]) ).

fof(f6338,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3035]) ).

fof(f6339,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f291]) ).

fof(f6340,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f284]) ).

fof(f6341,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f282]) ).

fof(f6342,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f1148]) ).

fof(f6343,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f371]) ).

fof(f6344,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f366]) ).

fof(f6345,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f361]) ).

fof(f6346,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f356]) ).

fof(f6347,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f351]) ).

fof(f6348,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f346]) ).

fof(f6349,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f341]) ).

fof(f6350,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f432]) ).

fof(f6351,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f336]) ).

fof(f6352,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f331]) ).

fof(f6353,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f316]) ).

fof(f6354,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f312]) ).

fof(f6355,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f308]) ).

fof(f6356,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f278]) ).

fof(f6357,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f277]) ).

fof(f6358,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f276]) ).

fof(f6359,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f4396]) ).

fof(f6360,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3199]) ).

fof(f6361,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f116]) ).

fof(f6362,definition,
    ! [X0,X2] :
      ( sQ299_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).

fof(f6363,plain,
    ! [X0,X1] :
      ( ~ sQ299_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6362]) ).

fof(f6365,plain,
    ( sQ115_spl
    | sQ299_spl ),
    inference(split_clause,[status(thm)],[f6359,f6362,f4709]) ).

fof(f6366,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3253]) ).

fof(f6367,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3231]) ).

fof(f6368,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3035]) ).

fof(f6369,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f291]) ).

fof(f6370,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f284]) ).

fof(f6371,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f282]) ).

fof(f6372,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f1148]) ).

fof(f6373,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f371]) ).

fof(f6374,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f366]) ).

fof(f6375,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f361]) ).

fof(f6376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f356]) ).

fof(f6377,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f351]) ).

fof(f6378,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f346]) ).

fof(f6379,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f341]) ).

fof(f6380,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f432]) ).

fof(f6381,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f336]) ).

fof(f6382,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f331]) ).

fof(f6383,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f316]) ).

fof(f6384,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f312]) ).

fof(f6385,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f308]) ).

fof(f6386,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f278]) ).

fof(f6387,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f277]) ).

fof(f6388,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f276]) ).

fof(f6389,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f4396]) ).

fof(f6390,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3199]) ).

fof(f6391,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f116]) ).

fof(f6392,definition,
    ! [X0,X2] :
      ( sQ300_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).

fof(f6393,plain,
    ! [X0,X1] :
      ( ~ sQ300_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6392]) ).

fof(f6395,plain,
    ( sQ115_spl
    | sQ300_spl ),
    inference(split_clause,[status(thm)],[f6389,f6392,f4709]) ).

fof(f6396,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3253]) ).

fof(f6397,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3231]) ).

fof(f6398,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3035]) ).

fof(f6399,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f291]) ).

fof(f6400,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f284]) ).

fof(f6401,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f282]) ).

fof(f6402,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f1148]) ).

fof(f6403,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f371]) ).

fof(f6404,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f366]) ).

fof(f6405,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f361]) ).

fof(f6406,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f356]) ).

fof(f6407,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f351]) ).

fof(f6408,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f346]) ).

fof(f6409,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f341]) ).

fof(f6410,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f432]) ).

fof(f6411,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f336]) ).

fof(f6412,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f331]) ).

fof(f6413,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f316]) ).

fof(f6414,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f312]) ).

fof(f6415,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f308]) ).

fof(f6416,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f278]) ).

fof(f6417,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f277]) ).

fof(f6418,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f276]) ).

fof(f6419,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f4396]) ).

fof(f6420,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3199]) ).

fof(f6421,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f116]) ).

fof(f6422,definition,
    ! [X0,X2] :
      ( sQ301_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).

fof(f6423,plain,
    ! [X0,X1] :
      ( ~ sQ301_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6422]) ).

fof(f6425,plain,
    ( sQ115_spl
    | sQ301_spl ),
    inference(split_clause,[status(thm)],[f6419,f6422,f4709]) ).

fof(f6426,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3253]) ).

fof(f6427,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3231]) ).

fof(f6428,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3035]) ).

fof(f6429,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f291]) ).

fof(f6430,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f284]) ).

fof(f6431,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f282]) ).

fof(f6432,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f1148]) ).

fof(f6433,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f371]) ).

fof(f6434,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f366]) ).

fof(f6435,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f361]) ).

fof(f6436,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f356]) ).

fof(f6437,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f351]) ).

fof(f6438,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f346]) ).

fof(f6439,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f341]) ).

fof(f6440,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f432]) ).

fof(f6441,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f336]) ).

fof(f6442,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f331]) ).

fof(f6443,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f316]) ).

fof(f6444,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f312]) ).

fof(f6445,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f308]) ).

fof(f6446,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f278]) ).

fof(f6447,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f277]) ).

fof(f6448,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f276]) ).

fof(f6449,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f4396]) ).

fof(f6450,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3199]) ).

fof(f6451,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f116]) ).

fof(f6452,definition,
    ! [X0,X2] :
      ( sQ302_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).

fof(f6453,plain,
    ! [X0,X1] :
      ( ~ sQ302_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6452]) ).

fof(f6455,plain,
    ( sQ115_spl
    | sQ302_spl ),
    inference(split_clause,[status(thm)],[f6449,f6452,f4709]) ).

fof(f6456,plain,
    ! [X0,X1] :
      ( element_of_collection(f16(X0,a,cx,ct),top_of_basis(X1))
      | element_of_set(f11(X1,f16(X0,a,cx,ct)),union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3384,f165]) ).

fof(f6457,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | element_of_set(X0,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3384,f1362]) ).

fof(f6458,plain,
    ! [X0] :
      ( element_of_set(X0,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(duplicate_literals_removal,[status(thm)],[f6457]) ).

fof(f6459,plain,
    ! [X0] :
      ( subset_sets(a,cx)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6458,f205]) ).

fof(f6460,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6458,f203]) ).

fof(f6461,definition,
    ! [X0] :
      ( sQ303_spl
    <=> element_of_set(X0,union_of_members(ct)) ),
    introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).

fof(f6462,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_set(X0,union_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f6461]) ).

fof(f6464,definition,
    ( sQ304_spl
  <=> subset_sets(a,cx) ),
    introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).

fof(f6467,plain,
    ( sQ304_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f6459,f6461,f6464]) ).

fof(f6468,plain,
    ( sQ13_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f6460,f6461,f1367]) ).

fof(f6469,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3253]) ).

fof(f6470,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3231]) ).

fof(f6471,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3035]) ).

fof(f6472,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f291]) ).

fof(f6473,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f284]) ).

fof(f6474,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f282]) ).

fof(f6475,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f1148]) ).

fof(f6476,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f371]) ).

fof(f6477,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f366]) ).

fof(f6478,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f361]) ).

fof(f6479,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f356]) ).

fof(f6480,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f351]) ).

fof(f6481,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f346]) ).

fof(f6482,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f341]) ).

fof(f6483,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f432]) ).

fof(f6484,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f336]) ).

fof(f6485,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f331]) ).

fof(f6486,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f316]) ).

fof(f6487,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f312]) ).

fof(f6488,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f308]) ).

fof(f6489,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f278]) ).

fof(f6490,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f277]) ).

fof(f6491,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f276]) ).

fof(f6492,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f4396]) ).

fof(f6493,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3199]) ).

fof(f6494,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f116]) ).

fof(f6495,definition,
    ! [X0,X2] :
      ( sQ305_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).

fof(f6496,plain,
    ! [X0,X1] :
      ( ~ sQ305_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6495]) ).

fof(f6498,plain,
    ( sQ115_spl
    | sQ305_spl ),
    inference(split_clause,[status(thm)],[f6492,f6495,f4709]) ).

fof(f6499,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3253]) ).

fof(f6500,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3231]) ).

fof(f6501,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3035]) ).

fof(f6502,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f291]) ).

fof(f6503,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f284]) ).

fof(f6504,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f282]) ).

fof(f6505,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f1148]) ).

fof(f6506,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f371]) ).

fof(f6507,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f366]) ).

fof(f6508,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f361]) ).

fof(f6509,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f356]) ).

fof(f6510,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f351]) ).

fof(f6511,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f346]) ).

fof(f6512,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f341]) ).

fof(f6513,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f432]) ).

fof(f6514,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f336]) ).

fof(f6515,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f331]) ).

fof(f6516,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f316]) ).

fof(f6517,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f312]) ).

fof(f6518,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f308]) ).

fof(f6519,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f278]) ).

fof(f6520,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f277]) ).

fof(f6521,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f276]) ).

fof(f6522,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f4396]) ).

fof(f6523,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3199]) ).

fof(f6524,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f116]) ).

fof(f6525,definition,
    ! [X0,X2] :
      ( sQ306_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).

fof(f6526,plain,
    ! [X0,X1] :
      ( ~ sQ306_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6525]) ).

fof(f6528,plain,
    ( sQ115_spl
    | sQ306_spl ),
    inference(split_clause,[status(thm)],[f6522,f6525,f4709]) ).

fof(f6529,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3253]) ).

fof(f6530,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3231]) ).

fof(f6531,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3035]) ).

fof(f6532,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f291]) ).

fof(f6533,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f284]) ).

fof(f6534,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f282]) ).

fof(f6535,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f1148]) ).

fof(f6536,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f371]) ).

fof(f6537,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f366]) ).

fof(f6538,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f361]) ).

fof(f6539,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f356]) ).

fof(f6540,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f351]) ).

fof(f6541,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f346]) ).

fof(f6542,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f341]) ).

fof(f6543,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f432]) ).

fof(f6544,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f336]) ).

fof(f6545,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f331]) ).

fof(f6546,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f316]) ).

fof(f6547,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f312]) ).

fof(f6548,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f308]) ).

fof(f6549,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f278]) ).

fof(f6550,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f277]) ).

fof(f6551,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f276]) ).

fof(f6552,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f4396]) ).

fof(f6553,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3199]) ).

fof(f6554,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f116]) ).

fof(f6555,definition,
    ! [X0,X2] :
      ( sQ307_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).

fof(f6556,plain,
    ! [X0,X1] :
      ( ~ sQ307_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6555]) ).

fof(f6558,plain,
    ( sQ115_spl
    | sQ307_spl ),
    inference(split_clause,[status(thm)],[f6552,f6555,f4709]) ).

fof(f6559,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3253]) ).

fof(f6560,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3231]) ).

fof(f6561,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3035]) ).

fof(f6562,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f291]) ).

fof(f6563,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f284]) ).

fof(f6564,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f282]) ).

fof(f6565,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f1148]) ).

fof(f6566,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f371]) ).

fof(f6567,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f366]) ).

fof(f6568,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f361]) ).

fof(f6569,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f356]) ).

fof(f6570,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f351]) ).

fof(f6571,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f346]) ).

fof(f6572,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f341]) ).

fof(f6573,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f432]) ).

fof(f6574,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f336]) ).

fof(f6575,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f331]) ).

fof(f6576,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f316]) ).

fof(f6577,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f312]) ).

fof(f6578,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f308]) ).

fof(f6579,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f278]) ).

fof(f6580,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f277]) ).

fof(f6581,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f276]) ).

fof(f6582,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f4396]) ).

fof(f6583,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3199]) ).

fof(f6584,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f116]) ).

fof(f6585,definition,
    ! [X0,X2] :
      ( sQ308_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).

fof(f6586,plain,
    ! [X0,X1] :
      ( ~ sQ308_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6585]) ).

fof(f6588,plain,
    ( sQ115_spl
    | sQ308_spl ),
    inference(split_clause,[status(thm)],[f6582,f6585,f4709]) ).

fof(f6589,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f3253]) ).

fof(f6590,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f3231]) ).

fof(f6591,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f3035]) ).

fof(f6592,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f291]) ).

fof(f6593,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f284]) ).

fof(f6594,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f282]) ).

fof(f6595,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f1148]) ).

fof(f6596,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f371]) ).

fof(f6597,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f366]) ).

fof(f6598,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f361]) ).

fof(f6599,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f356]) ).

fof(f6600,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f351]) ).

fof(f6601,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f346]) ).

fof(f6602,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f341]) ).

fof(f6603,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f432]) ).

fof(f6604,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f336]) ).

fof(f6605,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f331]) ).

fof(f6606,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f316]) ).

fof(f6607,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f312]) ).

fof(f6608,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f308]) ).

fof(f6609,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f278]) ).

fof(f6610,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f277]) ).

fof(f6611,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f276]) ).

fof(f6612,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f4396]) ).

fof(f6613,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f3199]) ).

fof(f6614,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f116]) ).

fof(f6615,definition,
    ! [X0,X2] :
      ( sQ309_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).

fof(f6616,plain,
    ! [X0,X1] :
      ( ~ sQ309_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6615]) ).

fof(f6618,plain,
    ( sQ115_spl
    | sQ309_spl ),
    inference(split_clause,[status(thm)],[f6612,f6615,f4709]) ).

fof(f6619,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f3253]) ).

fof(f6620,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f3231]) ).

fof(f6621,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f3035]) ).

fof(f6622,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f291]) ).

fof(f6623,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f284]) ).

fof(f6624,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f282]) ).

fof(f6625,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f1148]) ).

fof(f6626,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f371]) ).

fof(f6627,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f366]) ).

fof(f6628,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f361]) ).

fof(f6629,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f356]) ).

fof(f6630,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f351]) ).

fof(f6631,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f346]) ).

fof(f6632,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f341]) ).

fof(f6633,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f432]) ).

fof(f6634,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f336]) ).

fof(f6635,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f331]) ).

fof(f6636,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f316]) ).

fof(f6637,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f312]) ).

fof(f6638,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f308]) ).

fof(f6639,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f278]) ).

fof(f6640,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f277]) ).

fof(f6641,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f276]) ).

fof(f6642,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f4396]) ).

fof(f6643,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f3199]) ).

fof(f6644,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f116]) ).

fof(f6645,definition,
    ! [X0,X2] :
      ( sQ310_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).

fof(f6646,plain,
    ! [X0,X1] :
      ( ~ sQ310_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6645]) ).

fof(f6648,plain,
    ( sQ115_spl
    | sQ310_spl ),
    inference(split_clause,[status(thm)],[f6642,f6645,f4709]) ).

fof(f6649,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f3253]) ).

fof(f6650,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f3231]) ).

fof(f6651,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f3035]) ).

fof(f6652,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f291]) ).

fof(f6653,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f284]) ).

fof(f6654,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f282]) ).

fof(f6655,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f1148]) ).

fof(f6656,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f371]) ).

fof(f6657,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f366]) ).

fof(f6658,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f361]) ).

fof(f6659,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f356]) ).

fof(f6660,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f351]) ).

fof(f6661,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f346]) ).

fof(f6662,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f341]) ).

fof(f6663,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f432]) ).

fof(f6664,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f336]) ).

fof(f6665,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f331]) ).

fof(f6666,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f316]) ).

fof(f6667,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f312]) ).

fof(f6668,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f308]) ).

fof(f6669,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f278]) ).

fof(f6670,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f277]) ).

fof(f6671,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f276]) ).

fof(f6672,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f4396]) ).

fof(f6673,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f3199]) ).

fof(f6674,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f116]) ).

fof(f6675,definition,
    ! [X0,X2] :
      ( sQ311_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).

fof(f6676,plain,
    ! [X0,X1] :
      ( ~ sQ311_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6675]) ).

fof(f6678,plain,
    ( sQ115_spl
    | sQ311_spl ),
    inference(split_clause,[status(thm)],[f6672,f6675,f4709]) ).

fof(f6679,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4071,f1149]) ).

fof(f6680,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f6679]) ).

fof(f6683,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),X0)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2454,f114]) ).

fof(f6684,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2454,f113]) ).

fof(f6685,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4356,f4223]) ).

fof(f6686,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4356,f165]) ).

fof(f6687,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4357,f4223]) ).

fof(f6688,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f11(X1,cx),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4357,f165]) ).

fof(f6689,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4358,f4223]) ).

fof(f6690,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4358,f165]) ).

fof(f6691,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),union_of_members(f5(X0,top_of_basis(X1))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f6680,f132]) ).

fof(f6692,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),union_of_members(f5(X0,top_of_basis(X1))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f6680,f130]) ).

fof(f6693,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6680,f4396]) ).

fof(f6694,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6680,f3199]) ).

fof(f6695,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6680,f116]) ).

fof(f6698,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6680,f114]) ).

fof(f6699,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6680,f113]) ).

fof(f6700,definition,
    ! [X0,X1,X4] :
      ( sQ312_spl
    <=> ( element_of_set(X4,union_of_members(X0))
        | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
        | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).

fof(f6701,plain,
    ! [X0,X1,X2] :
      ( ~ sQ312_spl
      | element_of_set(X2,union_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f6700]) ).

fof(f6703,plain,
    ( sQ109_spl
    | sQ312_spl ),
    inference(split_clause,[status(thm)],[f6693,f6700,f4685]) ).

fof(f6704,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f3253]) ).

fof(f6705,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f3231]) ).

fof(f6706,plain,
    ! [X0,X1] :
      ( open(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),cx,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f3035]) ).

fof(f6707,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f291]) ).

fof(f6708,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f284]) ).

fof(f6709,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f282]) ).

fof(f6710,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f1148]) ).

fof(f6711,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f371]) ).

fof(f6712,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f366]) ).

fof(f6713,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f361]) ).

fof(f6714,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f356]) ).

fof(f6715,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f351]) ).

fof(f6716,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f346]) ).

fof(f6717,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f341]) ).

fof(f6718,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),f2(ct,X3)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f432]) ).

fof(f6719,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f336]) ).

fof(f6720,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f331]) ).

fof(f6721,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f316]) ).

fof(f6722,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f312]) ).

fof(f6723,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f308]) ).

fof(f6724,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f278]) ).

fof(f6725,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f277]) ).

fof(f6726,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f276]) ).

fof(f6727,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(f11(X2,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f4396]) ).

fof(f6728,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f3199]) ).

fof(f6729,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1346,f116]) ).

fof(f6730,definition,
    ! [X0,X1,X3] :
      ( sQ313_spl
    <=> ( element_of_set(X3,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
        | element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).

fof(f6733,plain,
    ( sQ115_spl
    | sQ313_spl ),
    inference(split_clause,[status(thm)],[f6727,f6730,f4709]) ).

fof(f6734,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f3253]) ).

fof(f6735,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f3231]) ).

fof(f6736,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f3035]) ).

fof(f6737,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f291]) ).

fof(f6738,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f284]) ).

fof(f6739,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f282]) ).

fof(f6740,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f1148]) ).

fof(f6741,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f371]) ).

fof(f6742,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f366]) ).

fof(f6743,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f361]) ).

fof(f6744,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f356]) ).

fof(f6745,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f351]) ).

fof(f6746,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f346]) ).

fof(f6747,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f341]) ).

fof(f6748,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f432]) ).

fof(f6749,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f336]) ).

fof(f6750,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f331]) ).

fof(f6751,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f316]) ).

fof(f6752,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f312]) ).

fof(f6753,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f308]) ).

fof(f6754,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f278]) ).

fof(f6755,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f277]) ).

fof(f6756,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f276]) ).

fof(f6757,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f4396]) ).

fof(f6758,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f3199]) ).

fof(f6759,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1347,f116]) ).

fof(f6760,definition,
    ! [X0,X2] :
      ( sQ314_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).

fof(f6763,plain,
    ( sQ115_spl
    | sQ314_spl ),
    inference(split_clause,[status(thm)],[f6757,f6760,f4709]) ).

fof(f6764,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f3253]) ).

fof(f6765,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f3231]) ).

fof(f6766,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f3035]) ).

fof(f6767,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f291]) ).

fof(f6768,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f284]) ).

fof(f6769,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f282]) ).

fof(f6770,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f1148]) ).

fof(f6771,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f371]) ).

fof(f6772,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f366]) ).

fof(f6773,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f361]) ).

fof(f6774,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f356]) ).

fof(f6775,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f351]) ).

fof(f6776,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f346]) ).

fof(f6777,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f341]) ).

fof(f6778,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f2(ct,X2)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f432]) ).

fof(f6779,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f336]) ).

fof(f6780,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f331]) ).

fof(f6781,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f316]) ).

fof(f6782,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f312]) ).

fof(f6783,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f308]) ).

fof(f6784,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f278]) ).

fof(f6785,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f277]) ).

fof(f6786,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f276]) ).

fof(f6787,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f4396]) ).

fof(f6788,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f3199]) ).

fof(f6789,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1348,f116]) ).

fof(f6790,definition,
    ! [X0,X2] :
      ( sQ315_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).

fof(f6793,plain,
    ( sQ115_spl
    | sQ315_spl ),
    inference(split_clause,[status(thm)],[f6787,f6790,f4709]) ).

fof(f6794,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_set(X1,X0)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f4437,f118]) ).

fof(f6795,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_collection(f1(ct,X0),ct) ),
    inference(resolution,[status(thm)],[f6462,f114]) ).

fof(f6796,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_set(X0,f1(ct,X0)) ),
    inference(resolution,[status(thm)],[f6462,f113]) ).

fof(f6798,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | limit_point(X1,a,cx,ct)
      | element_of_set(X0,f16(X1,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f6794,f3357]) ).

fof(f6799,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f6794,f4364]) ).

fof(f6800,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f6794,f3203]) ).

fof(f6801,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f6794,f3201]) ).

fof(f6804,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,union_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f6794,f1083]) ).

fof(f6806,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),cx)) ),
    inference(resolution,[status(thm)],[f6794,f6199]) ).

fof(f6807,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)) ),
    inference(resolution,[status(thm)],[f6794,f6198]) ).

fof(f6808,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)) ),
    inference(resolution,[status(thm)],[f6794,f5865]) ).

fof(f6809,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)) ),
    inference(resolution,[status(thm)],[f6794,f5864]) ).

fof(f6810,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f6794,f2339]) ).

fof(f6811,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)) ),
    inference(resolution,[status(thm)],[f6794,f2452]) ).

fof(f6812,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)) ),
    inference(resolution,[status(thm)],[f6794,f2451]) ).

fof(f6813,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f6794,f3235]) ).

fof(f6814,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f6794,f3213]) ).

fof(f6815,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f6794,f3236]) ).

fof(f6816,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f6794,f3214]) ).

fof(f6817,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)) ),
    inference(resolution,[status(thm)],[f6794,f2599]) ).

fof(f6818,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)) ),
    inference(resolution,[status(thm)],[f6794,f2598]) ).

fof(f6819,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f6794,f3234]) ).

fof(f6820,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f6794,f3212]) ).

fof(f6821,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | limit_point(X1,a,cx,ct)
      | element_of_set(X0,intersection_of_sets(cx,f16(X1,a,cx,ct))) ),
    inference(resolution,[status(thm)],[f6794,f3381]) ).

fof(f6822,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f6794,f3251]) ).

fof(f6823,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f6794,f3229]) ).

fof(f6824,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f6794,f1146]) ).

fof(f6825,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))) ),
    inference(resolution,[status(thm)],[f6794,f3469]) ).

fof(f6826,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))) ),
    inference(resolution,[status(thm)],[f6794,f3425]) ).

fof(f6827,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f6794,f286]) ).

fof(f6828,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f6794,f285]) ).

fof(f6829,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct)))))) ),
    inference(resolution,[status(thm)],[f6794,f1347]) ).

fof(f6830,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))) ),
    inference(resolution,[status(thm)],[f6794,f3447]) ).

fof(f6831,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))) ),
    inference(resolution,[status(thm)],[f6794,f3403]) ).

fof(f6832,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f6794,f292]) ).

fof(f6833,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f6794,f289]) ).

fof(f6834,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(cx,cx)) ),
    inference(resolution,[status(thm)],[f6794,f288]) ).

fof(f6835,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(cx,empty_set)) ),
    inference(resolution,[status(thm)],[f6794,f287]) ).

fof(f6836,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | limit_point(X1,a,cx,ct)
      | element_of_set(X0,intersection_of_sets(empty_set,f16(X1,a,cx,ct))) ),
    inference(resolution,[status(thm)],[f6794,f3382]) ).

fof(f6837,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f6794,f3252]) ).

fof(f6838,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f6794,f3230]) ).

fof(f6839,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f6794,f1147]) ).

fof(f6840,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct)))))) ),
    inference(resolution,[status(thm)],[f6794,f1348]) ).

fof(f6841,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))) ),
    inference(resolution,[status(thm)],[f6794,f3448]) ).

fof(f6842,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))) ),
    inference(resolution,[status(thm)],[f6794,f3404]) ).

fof(f6843,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f6794,f293]) ).

fof(f6844,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f6794,f290]) ).

fof(f6845,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))) ),
    inference(resolution,[status(thm)],[f6794,f3426]) ).

fof(f6846,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f6794,f283]) ).

fof(f6847,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f6794,f281]) ).

fof(f6848,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(empty_set,cx)) ),
    inference(resolution,[status(thm)],[f6794,f280]) ).

fof(f6849,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,intersection_of_sets(empty_set,empty_set)) ),
    inference(resolution,[status(thm)],[f6794,f279]) ).

fof(f6850,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f6794,f275]) ).

fof(f6851,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f6794,f274]) ).

fof(f6853,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | neighborhood(f17(cx,ct,X0,X1),X0,cx,ct)
      | eq_p(X0,X1)
      | ~ element_of_set(X0,cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2477,f6851]) ).

fof(f6854,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | neighborhood(f18(cx,ct,X0,X1),X1,cx,ct)
      | eq_p(X0,X1)
      | ~ element_of_set(X0,cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2476,f6851]) ).

fof(f6855,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | disjoint_s(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1))
      | eq_p(X0,X1)
      | ~ element_of_set(X0,cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2475,f6851]) ).

fof(f6862,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | neighborhood(f17(cx,ct,X0,X1),X0,cx,ct)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6853,f6851]) ).

fof(f6863,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | neighborhood(f18(cx,ct,X0,X1),X1,cx,ct)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6854,f6851]) ).

fof(f6864,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | disjoint_s(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6855,f6851]) ).

fof(f6865,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | ~ sQ303_spl
      | element_of_set(X0,f1(ct,X1)) ),
    inference(resolution,[status(thm)],[f6795,f6794]) ).

fof(f6866,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,X1)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6795,f3253]) ).

fof(f6867,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,X1)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6795,f3231]) ).

fof(f6868,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | open(f1(ct,X0),cx,ct) ),
    inference(resolution,[status(thm)],[f6795,f3035]) ).

fof(f6869,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f6795,f291]) ).

fof(f6870,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f6795,f284]) ).

fof(f6871,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f6795,f282]) ).

fof(f6872,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,X1)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6795,f1148]) ).

fof(f6873,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(cx,f1(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f6795,f278]) ).

fof(f6874,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(empty_set,f1(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f6795,f277]) ).

fof(f6875,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f1(ct,X1),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f6795,f276]) ).

fof(f6876,plain,
    ! [X0,X1,X2] :
      ( ~ sQ303_spl
      | element_of_set(X1,f1(ct,X2))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6795,f4396]) ).

fof(f6877,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,X1)) ),
    inference(resolution,[status(thm)],[f6795,f3199]) ).

fof(f6879,definition,
    ! [X1,X2] :
      ( sQ316_spl
    <=> element_of_set(X1,f1(ct,X2)) ),
    introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).

fof(f6882,plain,
    ( ~ sQ303_spl
    | sQ316_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f6876,f4709,f6879,f6461]) ).

fof(f6883,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ88_spl
      | ~ sQ303_spl
      | ~ subset_sets(f1(ct,f11(X0,union_of_members(ct))),X2)
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3483,f6865]) ).

fof(f6885,definition,
    ! [X0] :
      ( sQ317_spl
    <=> element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).

fof(f6886,plain,
    ! [X0] :
      ( ~ sQ317_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f6885]) ).

fof(f6889,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ64_spl
      | element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4249,f4396]) ).

fof(f6891,plain,
    ! [X0,X1,X2] :
      ( ~ sQ64_spl
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X2)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f4249,f116]) ).

fof(f6892,plain,
    ( ~ sQ64_spl
    | sQ110_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f6889,f4685,f4688,f4248]) ).

fof(f6894,plain,
    ! [X0,X1,X2] :
      ( ~ sQ303_spl
      | ~ subset_sets(f1(ct,X2),X1)
      | ~ element_of_set(X0,f1(ct,X2))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6868,f184]) ).

fof(f6895,definition,
    ! [X0,X1,X2] :
      ( sQ318_spl
    <=> ( ~ subset_sets(f1(ct,X2),X1)
        | ~ element_of_set(X0,f1(ct,X2))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).

fof(f6896,plain,
    ! [X0,X1,X2] :
      ( ~ sQ318_spl
      | ~ subset_sets(f1(ct,X2),X1)
      | ~ element_of_set(X0,f1(ct,X2))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f6895]) ).

fof(f6898,plain,
    ( ~ sQ303_spl
    | ~ sQ13_spl
    | sQ318_spl ),
    inference(split_clause,[status(thm)],[f6894,f6895,f1367,f6461]) ).

fof(f6899,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,union_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f302,f6848]) ).

fof(f6904,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_collection(f1(ct,X0),ct) ),
    inference(resolution,[status(thm)],[f6899,f114]) ).

fof(f6905,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | element_of_set(X0,f1(ct,X0)) ),
    inference(resolution,[status(thm)],[f6899,f113]) ).

fof(f6906,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ88_spl
      | ~ subset_sets(empty_set,X1)
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3164,f6850]) ).

fof(f6907,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ88_spl
      | ~ sQ61_spl
      | ~ subset_sets(empty_set,X1)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6906,f4238]) ).

fof(f6909,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | eq_p(X4,X0)
      | ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f210,f4238]) ).

fof(f6910,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f192,f4238]) ).

fof(f6911,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f208,f4238]) ).

fof(f6912,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ open(X4,X2,X3)
      | ~ element_of_set(X0,X4)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f184,f4238]) ).

fof(f6913,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,ct),X1),top_of_basis(X2))
      | eq_p(f11(X2,intersection_of_sets(f16(X0,X1,cx,ct),X1)),X0)
      | limit_point(X0,X1,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2337,f4238]) ).

fof(f6914,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | closed(f14(X1,cx,ct,X0),cx,ct)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1157,f4238]) ).

fof(f6915,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1151,f4238]) ).

fof(f6916,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ88_spl
      | ~ sQ61_spl
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6907,f4238]) ).

fof(f6917,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ open(X4,X2,X3)
      | ~ element_of_set(X0,X4)
      | ~ topological_space(X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6912,f4238]) ).

fof(f6918,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | ~ element_of_collection(X1,X3)
      | ~ element_of_collection(X0,X3)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f240,f4292]) ).

fof(f6920,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ element_of_collection(X0,X2)
      | open(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f140,f4292]) ).

fof(f6921,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f244,f4292]) ).

fof(f6922,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f263,f4292]) ).

fof(f6923,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f221,f4292]) ).

fof(f6924,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f220,f4292]) ).

fof(f6925,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f121,f4292]) ).

fof(f6928,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f124,f4292]) ).

fof(f6929,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X0,X2)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f118,f6928]) ).

fof(f6930,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6794,f6928]) ).

fof(f6932,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f116,f6928]) ).

fof(f6933,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | disjoint_s(f17(X0,X1,X2,X3),f18(X0,X1,X2,X3))
      | eq_p(X2,X3)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f219,f6930]) ).

fof(f6936,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | disjoint_s(f17(X0,X1,X2,X3),f18(X0,X1,X2,X3))
      | eq_p(X2,X3)
      | ~ hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6933,f6930]) ).

fof(f6939,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6920,f6928]) ).

fof(f6943,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | subset_collections(f24(X0,X1),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6922,f254]) ).

fof(f6944,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6921,f236]) ).

fof(f6945,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ equal_sets(f22(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6921,f230]) ).

fof(f6946,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6921,f228]) ).

fof(f6948,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | disjoint_s(f21(X0,X1),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6921,f238]) ).

fof(f6949,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6911,f4292]) ).

fof(f6950,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | eq_p(X4,X0)
      | ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6909,f4292]) ).

fof(f6951,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | eq_p(X4,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6950,f6930]) ).

fof(f6952,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | ~ element_of_collection(X1,X3)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6918,f6928]) ).

fof(f6953,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | ~ element_of_collection(f22(X0,X1),X2)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(resolution,[status(thm)],[f6952,f6944]) ).

fof(f6954,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6953,f6928]) ).

fof(f6955,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6954,f6948]) ).

fof(f6959,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f6955,f243]) ).

fof(f6961,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ sQ71_spl
      | connected_space(cx,X0)
      | equal_sets(f22(cx,X0),empty_set)
      | equal_sets(f21(cx,X0),empty_set) ),
    inference(resolution,[status(thm)],[f6959,f1134]) ).

fof(f6962,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1)
      | equal_sets(f21(X0,X1),empty_set) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6959,f6945]) ).

fof(f6963,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6955,f6945]) ).

fof(f6965,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ eq_p(f19(X0,X1),f20(X0,X1))
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f222,f4292]) ).

fof(f6966,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | limit_point(f20(X0,X1),X2,X3,X4)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f6965,f6951]) ).

fof(f6968,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ open(relative_complement_sets(X0,X1),X1,X2)
      | closed(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f144,f4292]) ).

fof(f6969,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | closed(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f6968,f6939]) ).

fof(f6970,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ sQ71_spl
      | connected_space(cx,X0)
      | equal_sets(f22(cx,X0),empty_set) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6961,f6946]) ).

fof(f6971,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | ~ sQ9_spl
      | connected_space(cx,X0)
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f6970,f6945]) ).

fof(f6972,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | ~ sQ9_spl
      | connected_space(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f6971]) ).

fof(f6973,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6962,f6946]) ).

fof(f6975,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6963,f6946]) ).

fof(f6982,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | equal_sets(X0,intersection_of_sets(X1,f12(X2,X3,X1,X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f173,f6928]) ).

fof(f6983,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ disjoint_s(X0,X1)
      | ~ element_of_collection(X1,X5)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X0,X1))),X5) ),
    inference(resolution,[status(thm)],[f6982,f6952]) ).

fof(f6984,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ disjoint_s(X0,X1)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X0,X1))),X5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6983,f6928]) ).

fof(f6985,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X1)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f152,f4292]) ).

fof(f6986,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | compact_space(X1,X0)
      | ~ topological_space(X2,f24(X1,X0))
      | finer(X0,f24(X1,X0),X2) ),
    inference(resolution,[status(thm)],[f6985,f6943]) ).

fof(f6987,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | compact_space(X1,X0)
      | finer(X0,f24(X1,X0),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6986,f4292]) ).

fof(f6988,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f21(X0,X1),f22(X0,X1)))),X5) ),
    inference(resolution,[status(thm)],[f6984,f6948]) ).

fof(f6989,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | ~ sQ71_spl
      | eq_p(X0,X1)
      | equal_sets(f18(cx,ct,X0,X1),empty_set)
      | equal_sets(f17(cx,ct,X0,X1),empty_set)
      | separation(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1)))),X5) ),
    inference(resolution,[status(thm)],[f6984,f6864]) ).

fof(f6990,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | equal_sets(f22(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f21(X0,X1),f22(X0,X1)))),X5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6988,f6946]) ).

fof(f6991,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | connected_space(X0,X1)
      | separation(f21(X0,X1),f22(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f21(X0,X1),f22(X0,X1)))),X5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6990,f6945]) ).

fof(f6995,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ connected_space(intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f21(X0,X1),f22(X0,X1)))),X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6991,f243]) ).

fof(f7000,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | ~ sQ71_spl
      | ~ connected_space(intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1)))),X5)
      | eq_p(X0,X1)
      | equal_sets(f18(cx,ct,X0,X1),empty_set)
      | equal_sets(f17(cx,ct,X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f6989,f243]) ).

fof(f7003,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f6925]) ).

fof(f7004,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f7003,f4238]) ).

fof(f7005,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ88_spl
      | ~ element_of_collection(X2,X1)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7004,f6930]) ).

fof(f7006,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ88_spl
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7005,f6928]) ).

fof(f7007,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ disjoint_s(X2,X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f224,f4292]) ).

fof(f7010,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | limit_point(f20(X0,X1),X3,X0,X1)
      | ~ disjoint_s(X2,f16(f20(X0,X1),X3,X0,X1))
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f7007,f6949]) ).

fof(f7020,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X1,X0)
      | ~ open(X0,X2,X3)
      | neighborhood(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f201,f4292]) ).

fof(f7021,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X1,X0)
      | neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f7020,f6939]) ).

fof(f7022,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ88_spl
      | neighborhood(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7021,f6930]) ).

fof(f7023,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ88_spl
      | ~ disjoint_s(X3,X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f7007,f7022]) ).

fof(f7024,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ88_spl
      | ~ disjoint_s(X2,X3)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7023,f7022]) ).

fof(f7025,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ88_spl
      | connected_space(X2,X3)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f7024,f6948]) ).

fof(f7026,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | ~ sQ71_spl
      | eq_p(X2,X3)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f7024,f6864]) ).

fof(f7027,definition,
    ! [X0,X1] :
      ( sQ321_spl
    <=> hausdorff(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).

fof(f7028,plain,
    ! [X0,X1] :
      ( ~ sQ321_spl
      | hausdorff(X0,X1) ),
    inference(component_clause,[status(thm)],[f7027]) ).

fof(f7030,definition,
    ! [X2,X3] :
      ( sQ322_spl
    <=> connected_space(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).

fof(f7031,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f7030]) ).

fof(f7033,plain,
    ( ~ sQ71_spl
    | ~ sQ88_spl
    | sQ322_spl
    | sQ321_spl ),
    inference(split_clause,[status(thm)],[f7025,f7027,f7030,f4436,f4291]) ).

fof(f7034,definition,
    ! [X2,X3] :
      ( sQ323_spl
    <=> eq_p(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).

fof(f7035,plain,
    ! [X0,X1] :
      ( ~ sQ323_spl
      | eq_p(X0,X1) ),
    inference(component_clause,[status(thm)],[f7034]) ).

fof(f7037,plain,
    ( ~ sQ0_spl
    | ~ sQ88_spl
    | ~ sQ71_spl
    | sQ323_spl
    | sQ321_spl ),
    inference(split_clause,[status(thm)],[f7026,f7027,f7034,f4291,f4436,f1093]) ).

fof(f7038,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_set(X0,X4)
      | ~ closed(X4,X2,X3)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f190,f4238]) ).

fof(f7039,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | ~ topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f193,f4238]) ).

fof(f7040,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ sQ61_spl
      | ~ subset_sets(intersection_of_sets(empty_set,empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3196,f4238]) ).

fof(f7041,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | ~ sQ61_spl
      | ~ subset_sets(intersection_of_sets(empty_set,cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3190,f4238]) ).

fof(f7042,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ sQ61_spl
      | ~ subset_sets(intersection_of_sets(cx,empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3184,f4238]) ).

fof(f7043,plain,
    ! [X0,X1] :
      ( ~ sQ21_spl
      | ~ sQ61_spl
      | ~ subset_sets(intersection_of_sets(cx,cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3178,f4238]) ).

fof(f7044,plain,
    ! [X0,X1,X2] :
      ( ~ sQ318_spl
      | ~ sQ61_spl
      | ~ subset_sets(f1(ct,X2),X1)
      | ~ element_of_set(X0,f1(ct,X2))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6896,f4238]) ).

fof(f7045,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ equal_sets(X0,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X4,X2)
      | ~ topological_space(X1,X2)
      | element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f4238]) ).

fof(f7046,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f4238]) ).

fof(f7047,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f11(X1,X0),X2)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f167,f4238]) ).

fof(f7048,plain,
    ! [X0,X1,X2] :
      ( ~ sQ32_spl
      | ~ sQ61_spl
      | ~ subset_sets(f16(X0,a,cx,ct),X2)
      | ~ element_of_set(X1,f16(X0,a,cx,ct))
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3360,f4238]) ).

fof(f7049,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ61_spl
      | ~ subset_sets(cx,X1)
      | ~ element_of_set(X0,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3172,f4238]) ).

fof(f7050,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ61_spl
      | ~ subset_sets(f1(ct,f11(X0,union_of_members(ct))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3483,f4238]) ).

fof(f7051,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f4238]) ).

fof(f7052,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
      | ~ topological_space(X1,X2)
      | element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1085,f215]) ).

fof(f7053,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
      | element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7052,f1086]) ).

fof(f7054,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3232,f6801]) ).

fof(f7055,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3254,f6800]) ).

fof(f7056,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3381]) ).

fof(f7057,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3229]) ).

fof(f7058,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3251]) ).

fof(f7059,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3382]) ).

fof(f7060,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3230]) ).

fof(f7061,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3252]) ).

fof(f7062,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f5864]) ).

fof(f7063,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f5865]) ).

fof(f7064,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f6198]) ).

fof(f7065,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f6199]) ).

fof(f7066,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f16(X1,a,cx,ct)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3357]) ).

fof(f7067,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f4364]) ).

fof(f7068,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3203]) ).

fof(f7069,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f3201]) ).

fof(f7072,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ61_spl
      | ~ sQ88_spl
      | ~ subset_sets(f1(ct,f11(X0,union_of_members(ct))),X2)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7050,f6804]) ).

fof(f7073,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ33_spl
      | ~ sQ88_spl
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f7072,f4238]) ).

fof(f7074,definition,
    ! [X1,X2] :
      ( sQ324_spl
    <=> element_of_set(X1,interior(X2,cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).

fof(f7075,plain,
    ! [X0,X1] :
      ( ~ sQ324_spl
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7074]) ).

fof(f7077,plain,
    ( ~ sQ61_spl
    | ~ sQ33_spl
    | ~ sQ88_spl
    | sQ324_spl
    | sQ317_spl ),
    inference(split_clause,[status(thm)],[f7073,f6885,f7074,f4436,f3482,f4237]) ).

fof(f7078,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2339,f1148]) ).

fof(f7079,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2452,f1148]) ).

fof(f7080,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2451,f1148]) ).

fof(f7081,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
      | ~ topological_space(X1,X2)
      | element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f215]) ).

fof(f7082,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f1148]) ).

fof(f7090,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),union_of_members(subspace_topology(X2,X3,X4))) ),
    inference(resolution,[status(thm)],[f3199,f3026]) ).

fof(f7091,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),closure(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f3032]) ).

fof(f7093,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f16(X1,a,cx,ct))) ),
    inference(resolution,[status(thm)],[f3199,f3381]) ).

fof(f7094,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f3229]) ).

fof(f7095,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f3251]) ).

fof(f7096,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))) ),
    inference(resolution,[status(thm)],[f3199,f3382]) ).

fof(f7097,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))) ),
    inference(resolution,[status(thm)],[f3199,f3230]) ).

fof(f7098,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))) ),
    inference(resolution,[status(thm)],[f3199,f3252]) ).

fof(f7099,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f2451]) ).

fof(f7100,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)) ),
    inference(resolution,[status(thm)],[f3199,f2452]) ).

fof(f7101,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))) ),
    inference(resolution,[status(thm)],[f3199,f2339]) ).

fof(f7102,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f5864]) ).

fof(f7103,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f5865]) ).

fof(f7104,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f6198]) ).

fof(f7105,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,cx)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f6199]) ).

fof(f7106,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),boundary(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f1086]) ).

fof(f7107,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f1088]) ).

fof(f7108,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f16(X1,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f3199,f3357]) ).

fof(f7109,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f3199,f4364]) ).

fof(f7110,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3199,f3203]) ).

fof(f7111,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f3201]) ).

fof(f7113,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | element_of_set(X2,union_of_members(ct))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),cx) ),
    inference(resolution,[status(thm)],[f3199,f7055]) ).

fof(f7114,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f3199,f274]) ).

fof(f7115,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | element_of_set(X2,union_of_members(ct))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),empty_set) ),
    inference(resolution,[status(thm)],[f3199,f7054]) ).

fof(f7116,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),empty_set) ),
    inference(resolution,[status(thm)],[f3199,f275]) ).

fof(f7117,definition,
    ! [X0,X1] :
      ( sQ325_spl
    <=> ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).

fof(f7120,plain,
    ( ~ sQ88_spl
    | sQ303_spl
    | sQ325_spl ),
    inference(split_clause,[status(thm)],[f7113,f7117,f6461,f4436]) ).

fof(f7121,definition,
    ! [X0,X1] :
      ( sQ326_spl
    <=> ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),empty_set) ) ),
    introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).

fof(f7124,plain,
    ( ~ sQ88_spl
    | sQ303_spl
    | sQ326_spl ),
    inference(split_clause,[status(thm)],[f7115,f7121,f6461,f4436]) ).

fof(f7125,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ61_spl
      | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7050,f4238]) ).

fof(f7126,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ61_spl
      | ~ subset_sets(empty_set,X1)
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3164,f4238]) ).

fof(f7127,plain,
    ! [X0,X1,X2] :
      ( ~ sQ25_spl
      | ~ sQ61_spl
      | ~ subset_sets(f2(ct,X0),X2)
      | ~ element_of_set(X1,f2(ct,X0))
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3208,f4238]) ).

fof(f7132,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f1148]) ).

fof(f7133,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f327,f3199]) ).

fof(f7134,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f1148]) ).

fof(f7135,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f326,f3199]) ).

fof(f7136,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f307,f1148]) ).

fof(f7137,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f307,f3199]) ).

fof(f7138,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f306,f1148]) ).

fof(f7139,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f306,f3199]) ).

fof(f7142,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f1148]) ).

fof(f7143,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f3199]) ).

fof(f7144,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f1148]) ).

fof(f7145,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f3199]) ).

fof(f7146,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f1148]) ).

fof(f7147,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f3199]) ).

fof(f7148,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f1148]) ).

fof(f7149,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f3199]) ).

fof(f7150,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f1148]) ).

fof(f7151,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f3199]) ).

fof(f7152,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f1148]) ).

fof(f7153,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f3199]) ).

fof(f7154,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f1148]) ).

fof(f7155,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f3199]) ).

fof(f7156,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f1148]) ).

fof(f7157,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f3199]) ).

fof(f7158,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f1148]) ).

fof(f7159,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f3199]) ).

fof(f7160,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f1148]) ).

fof(f7161,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f3199]) ).

fof(f7162,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f1148]) ).

fof(f7163,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f3199]) ).

fof(f7164,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f1148]) ).

fof(f7165,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f335,f3199]) ).

fof(f7166,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f1148]) ).

fof(f7167,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f334,f3199]) ).

fof(f7168,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f1148]) ).

fof(f7169,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f330,f3199]) ).

fof(f7170,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f1148]) ).

fof(f7171,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f329,f3199]) ).

fof(f7172,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f1148]) ).

fof(f7173,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f325,f3199]) ).

fof(f7174,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f1148]) ).

fof(f7175,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f324,f3199]) ).

fof(f7176,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f1148]) ).

fof(f7177,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f321,f3199]) ).

fof(f7178,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f1148]) ).

fof(f7179,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f3199]) ).

fof(f7180,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f1148]) ).

fof(f7181,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f315,f3199]) ).

fof(f7182,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f1148]) ).

fof(f7183,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f314,f3199]) ).

fof(f7184,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f1148]) ).

fof(f7185,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f311,f3199]) ).

fof(f7186,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f1148]) ).

fof(f7187,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f310,f3199]) ).

fof(f7189,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f532]) ).

fof(f7190,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f533]) ).

fof(f7191,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f582]) ).

fof(f7192,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f583]) ).

fof(f7193,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f458]) ).

fof(f7194,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f459]) ).

fof(f7195,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2486]) ).

fof(f7196,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2776]) ).

fof(f7197,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f420]) ).

fof(f7198,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f421]) ).

fof(f7199,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2901]) ).

fof(f7200,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f320]) ).

fof(f7201,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f321]) ).

fof(f7202,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f324]) ).

fof(f7203,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f325]) ).

fof(f7204,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f326]) ).

fof(f7205,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f327]) ).

fof(f7206,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f310]) ).

fof(f7207,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f314]) ).

fof(f7208,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f329]) ).

fof(f7209,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f334]) ).

fof(f7210,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f306]) ).

fof(f7211,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3381]) ).

fof(f7212,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3229]) ).

fof(f7213,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3251]) ).

fof(f7214,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f311]) ).

fof(f7215,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f315]) ).

fof(f7216,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f330]) ).

fof(f7217,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f335]) ).

fof(f7218,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f307]) ).

fof(f7219,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3382]) ).

fof(f7220,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3230]) ).

fof(f7221,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3252]) ).

fof(f7222,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2451]) ).

fof(f7223,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2452]) ).

fof(f7224,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2339]) ).

fof(f7225,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f5864]) ).

fof(f7226,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f5865]) ).

fof(f7227,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f6198]) ).

fof(f7228,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f6199]) ).

fof(f7229,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f2(ct,X0),f16(X1,a,cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3357]) ).

fof(f7230,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f4364]) ).

fof(f7231,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3203]) ).

fof(f7232,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f3201]) ).

fof(f7240,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4399,f3199]) ).

fof(f7244,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
      | element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7081,f3032]) ).

fof(f7262,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f288,f1148]) ).

fof(f7267,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f287,f1148]) ).

fof(f7270,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f280,f1148]) ).

fof(f7273,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f279,f1148]) ).

fof(f7315,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | open(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),cx,ct) ),
    inference(resolution,[status(thm)],[f3035,f2339]) ).

fof(f7331,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,empty_set)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3159]) ).

fof(f7332,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3160]) ).

fof(f7333,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,f2(ct,X2))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3038]) ).

fof(f7334,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3091]) ).

fof(f7335,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3092]) ).

fof(f7336,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3124]) ).

fof(f7337,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3125]) ).

fof(f7338,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,f2(ct,X2)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3123]) ).

fof(f7339,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X2,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3385]) ).

fof(f7340,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X2,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3429]) ).

fof(f7341,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3157]) ).

fof(f7342,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3158]) ).

fof(f7343,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f2(ct,X2)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3127]) ).

fof(f7344,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X2,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3407]) ).

fof(f7345,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X2,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3451]) ).

fof(f7346,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5871]) ).

fof(f7347,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5900]) ).

fof(f7348,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6206]) ).

fof(f7349,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,cx)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6236]) ).

fof(f7350,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | limit_point(X2,a,cx,ct)
      | ~ element_of_set(X0,f16(X2,a,cx,ct))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3024]) ).

fof(f7351,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,intersection_of_members(ct))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f4369]) ).

fof(f7352,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,union_of_members(ct))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3037]) ).

fof(f7353,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3233]) ).

fof(f7354,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3211]) ).

fof(f7355,definition,
    ! [X0,X1] :
      ( sQ327_spl
    <=> ( ~ element_of_set(X0,empty_set)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).

fof(f7356,plain,
    ! [X0,X1] :
      ( ~ sQ327_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7355]) ).

fof(f7358,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ327_spl ),
    inference(split_clause,[status(thm)],[f7331,f7355,f1367,f4237]) ).

fof(f7359,definition,
    ! [X0,X1] :
      ( sQ328_spl
    <=> ( ~ element_of_set(X0,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).

fof(f7360,plain,
    ! [X0,X1] :
      ( ~ sQ328_spl
      | ~ element_of_set(X0,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7359]) ).

fof(f7362,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ328_spl ),
    inference(split_clause,[status(thm)],[f7332,f7359,f1367,f4237]) ).

fof(f7363,definition,
    ! [X0,X1,X2] :
      ( sQ329_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,f2(ct,X2))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).

fof(f7364,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,f2(ct,X2))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7363]) ).

fof(f7366,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ329_spl ),
    inference(split_clause,[status(thm)],[f7333,f7363,f1367,f4237]) ).

fof(f7367,definition,
    ! [X0,X1,X2] :
      ( sQ330_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).

fof(f7368,plain,
    ! [X0,X1,X2] :
      ( ~ sQ330_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7367]) ).

fof(f7370,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ330_spl ),
    inference(split_clause,[status(thm)],[f7334,f7367,f1367,f4237]) ).

fof(f7371,definition,
    ! [X0,X1,X2] :
      ( sQ331_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).

fof(f7372,plain,
    ! [X0,X1,X2] :
      ( ~ sQ331_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7371]) ).

fof(f7374,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ331_spl ),
    inference(split_clause,[status(thm)],[f7335,f7371,f1367,f4237]) ).

fof(f7375,definition,
    ! [X0,X1] :
      ( sQ332_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).

fof(f7376,plain,
    ! [X0,X1] :
      ( ~ sQ332_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7375]) ).

fof(f7378,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ332_spl ),
    inference(split_clause,[status(thm)],[f7336,f7375,f1367,f4237]) ).

fof(f7379,definition,
    ! [X0,X1] :
      ( sQ333_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).

fof(f7380,plain,
    ! [X0,X1] :
      ( ~ sQ333_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7379]) ).

fof(f7382,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ333_spl ),
    inference(split_clause,[status(thm)],[f7337,f7379,f1367,f4237]) ).

fof(f7383,definition,
    ! [X0,X1,X2] :
      ( sQ334_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,f2(ct,X2)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).

fof(f7384,plain,
    ! [X0,X1,X2] :
      ( ~ sQ334_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7383]) ).

fof(f7386,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ334_spl ),
    inference(split_clause,[status(thm)],[f7338,f7383,f1367,f4237]) ).

fof(f7387,definition,
    ! [X0,X1,X2] :
      ( sQ335_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X2,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).

fof(f7388,plain,
    ! [X0,X1,X2] :
      ( ~ sQ335_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X2,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7387]) ).

fof(f7390,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ335_spl ),
    inference(split_clause,[status(thm)],[f7339,f7387,f1367,f4237]) ).

fof(f7391,definition,
    ! [X0,X1,X2] :
      ( sQ336_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X2,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).

fof(f7392,plain,
    ! [X0,X1,X2] :
      ( ~ sQ336_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X2,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7391]) ).

fof(f7394,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ336_spl ),
    inference(split_clause,[status(thm)],[f7340,f7391,f1367,f4237]) ).

fof(f7395,definition,
    ! [X0,X1] :
      ( sQ337_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).

fof(f7396,plain,
    ! [X0,X1] :
      ( ~ sQ337_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7395]) ).

fof(f7398,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ337_spl ),
    inference(split_clause,[status(thm)],[f7341,f7395,f1367,f4237]) ).

fof(f7399,definition,
    ! [X0,X1] :
      ( sQ338_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).

fof(f7400,plain,
    ! [X0,X1] :
      ( ~ sQ338_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7399]) ).

fof(f7402,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ338_spl ),
    inference(split_clause,[status(thm)],[f7342,f7399,f1367,f4237]) ).

fof(f7403,definition,
    ! [X0,X1,X2] :
      ( sQ339_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,f2(ct,X2)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).

fof(f7404,plain,
    ! [X0,X1,X2] :
      ( ~ sQ339_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7403]) ).

fof(f7406,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ339_spl ),
    inference(split_clause,[status(thm)],[f7343,f7403,f1367,f4237]) ).

fof(f7407,definition,
    ! [X0,X1,X2] :
      ( sQ340_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X2,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).

fof(f7408,plain,
    ! [X0,X1,X2] :
      ( ~ sQ340_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X2,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7407]) ).

fof(f7410,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ340_spl ),
    inference(split_clause,[status(thm)],[f7344,f7407,f1367,f4237]) ).

fof(f7411,definition,
    ! [X0,X1,X2] :
      ( sQ341_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X2,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).

fof(f7412,plain,
    ! [X0,X1,X2] :
      ( ~ sQ341_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X2,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7411]) ).

fof(f7414,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ341_spl ),
    inference(split_clause,[status(thm)],[f7345,f7411,f1367,f4237]) ).

fof(f7415,definition,
    ! [X0,X1,X2] :
      ( sQ342_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).

fof(f7416,plain,
    ! [X0,X1,X2] :
      ( ~ sQ342_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7415]) ).

fof(f7418,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ342_spl ),
    inference(split_clause,[status(thm)],[f7346,f7415,f1367,f4237]) ).

fof(f7419,definition,
    ! [X0,X1,X2] :
      ( sQ343_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).

fof(f7420,plain,
    ! [X0,X1,X2] :
      ( ~ sQ343_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7419]) ).

fof(f7422,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ343_spl ),
    inference(split_clause,[status(thm)],[f7347,f7419,f1367,f4237]) ).

fof(f7423,definition,
    ! [X0,X1,X2] :
      ( sQ344_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).

fof(f7424,plain,
    ! [X0,X1,X2] :
      ( ~ sQ344_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7423]) ).

fof(f7426,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ344_spl ),
    inference(split_clause,[status(thm)],[f7348,f7423,f1367,f4237]) ).

fof(f7427,definition,
    ! [X0,X1,X2] :
      ( sQ345_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,cx)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).

fof(f7428,plain,
    ! [X0,X1,X2] :
      ( ~ sQ345_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X2,cx)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7427]) ).

fof(f7430,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ345_spl ),
    inference(split_clause,[status(thm)],[f7349,f7427,f1367,f4237]) ).

fof(f7431,definition,
    ! [X0,X1,X2] :
      ( sQ346_spl
    <=> ( limit_point(X2,a,cx,ct)
        | ~ element_of_set(X0,f16(X2,a,cx,ct))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).

fof(f7432,plain,
    ! [X0,X1,X2] :
      ( ~ sQ346_spl
      | limit_point(X2,a,cx,ct)
      | ~ element_of_set(X0,f16(X2,a,cx,ct))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7431]) ).

fof(f7434,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ346_spl ),
    inference(split_clause,[status(thm)],[f7350,f7431,f1367,f4237]) ).

fof(f7435,definition,
    ! [X0,X1,X2] :
      ( sQ347_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
        | ~ element_of_set(X0,f1(ct,f11(X2,intersection_of_members(ct))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).

fof(f7436,plain,
    ! [X0,X1,X2] :
      ( ~ sQ347_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,intersection_of_members(ct))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7435]) ).

fof(f7438,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ347_spl ),
    inference(split_clause,[status(thm)],[f7351,f7435,f1367,f4237]) ).

fof(f7439,definition,
    ! [X0,X1,X2] :
      ( sQ348_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X2))
        | ~ element_of_set(X0,f1(ct,f11(X2,union_of_members(ct))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).

fof(f7440,plain,
    ! [X0,X1,X2] :
      ( ~ sQ348_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,union_of_members(ct))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7439]) ).

fof(f7442,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ348_spl ),
    inference(split_clause,[status(thm)],[f7352,f7439,f1367,f4237]) ).

fof(f7443,definition,
    ! [X0,X1,X2] :
      ( sQ349_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | ~ element_of_set(X0,f1(ct,f11(X2,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).

fof(f7444,plain,
    ! [X0,X1,X2] :
      ( ~ sQ349_spl
      | element_of_collection(cx,top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7443]) ).

fof(f7446,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ349_spl ),
    inference(split_clause,[status(thm)],[f7353,f7443,f1367,f4237]) ).

fof(f7447,definition,
    ! [X0,X1,X2] :
      ( sQ350_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | ~ element_of_set(X0,f1(ct,f11(X2,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).

fof(f7448,plain,
    ! [X0,X1,X2] :
      ( ~ sQ350_spl
      | element_of_collection(empty_set,top_of_basis(X2))
      | ~ element_of_set(X0,f1(ct,f11(X2,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f7447]) ).

fof(f7450,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ350_spl ),
    inference(split_clause,[status(thm)],[f7354,f7447,f1367,f4237]) ).

fof(f7485,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
      | ~ element_of_set(X0,closure(X1,X2,X3))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f215,f186]) ).

fof(f7491,plain,
    ! [X0] :
      ( ~ subset_collections(ct,X0)
      | ~ topological_space(cx,X0)
      | open_covering(ct,cx,X0) ),
    inference(resolution,[status(thm)],[f258,f298]) ).

fof(f7493,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f1361,f195]) ).

fof(f7495,plain,
    ( sQ13_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f7493,f1364,f1367]) ).

fof(f7497,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3254,f165]) ).

fof(f7500,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3232,f165]) ).

fof(f7527,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),boundary(X0,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3033,f3199]) ).

fof(f7528,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),interior(X0,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1087,f3199]) ).

fof(f7533,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),cx),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(f2(ct,X0),cx)),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f337,f165]) ).

fof(f7534,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(f2(ct,X0),empty_set)),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f332,f165]) ).

fof(f7535,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(empty_set,f2(ct,X0))),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f317,f165]) ).

fof(f7536,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,f2(ct,X0)),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(cx,f2(ct,X0))),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f313,f165]) ).

fof(f7537,plain,
    ! [X0,X1] :
      ( element_of_collection(f16(X0,a,cx,ct),top_of_basis(X1))
      | element_of_set(f11(X1,f16(X0,a,cx,ct)),union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3384,f165]) ).

fof(f7540,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6255,f3035]) ).

fof(f7541,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6255,f308]) ).

fof(f7542,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6255,f1148]) ).

fof(f7543,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6255,f3199]) ).

fof(f7544,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6254,f3035]) ).

fof(f7545,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6254,f308]) ).

fof(f7546,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6254,f1148]) ).

fof(f7547,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6254,f3199]) ).

fof(f7548,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6225,f3035]) ).

fof(f7549,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6225,f308]) ).

fof(f7550,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6225,f1148]) ).

fof(f7551,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6225,f3199]) ).

fof(f7552,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6224,f3035]) ).

fof(f7553,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6224,f308]) ).

fof(f7554,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6224,f1148]) ).

fof(f7555,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6224,f3199]) ).

fof(f7556,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6197,f3035]) ).

fof(f7557,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6197,f308]) ).

fof(f7558,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6197,f1148]) ).

fof(f7559,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6197,f3199]) ).

fof(f7560,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6196,f3035]) ).

fof(f7561,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6196,f308]) ).

fof(f7562,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6196,f1148]) ).

fof(f7563,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6196,f3199]) ).

fof(f7564,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6161,f3035]) ).

fof(f7565,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6161,f308]) ).

fof(f7566,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6161,f1148]) ).

fof(f7567,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6161,f3199]) ).

fof(f7568,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx)),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6160,f3035]) ).

fof(f7569,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6160,f308]) ).

fof(f7570,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6160,f1148]) ).

fof(f7571,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx)))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6160,f3199]) ).

fof(f7572,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5919,f3035]) ).

fof(f7573,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5919,f308]) ).

fof(f7574,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5919,f1148]) ).

fof(f7575,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5919,f3199]) ).

fof(f7576,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5918,f3035]) ).

fof(f7577,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5918,f308]) ).

fof(f7578,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5918,f1148]) ).

fof(f7579,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5918,f3199]) ).

fof(f7580,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5890,f3035]) ).

fof(f7581,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5890,f308]) ).

fof(f7582,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5890,f1148]) ).

fof(f7583,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5890,f3199]) ).

fof(f7584,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5889,f3035]) ).

fof(f7585,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5889,f308]) ).

fof(f7586,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5889,f1148]) ).

fof(f7587,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5889,f3199]) ).

fof(f7593,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),closure(X0,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3034,f3199]) ).

fof(f7594,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(subspace_topology(X1,X4,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3029,f3199]) ).

fof(f7602,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),union_of_members(f5(X0,top_of_basis(X1))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f6680,f130]) ).

fof(f7603,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),union_of_members(f5(X0,top_of_basis(X1))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f6680,f132]) ).

fof(f7604,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6680,f3199]) ).

fof(f7633,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f5889]) ).

fof(f7634,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f5918]) ).

fof(f7635,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6224]) ).

fof(f7636,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,cx)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6254]) ).

fof(f7647,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f5890]) ).

fof(f7648,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f5919]) ).

fof(f7649,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6225]) ).

fof(f7650,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,cx)),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6255]) ).

fof(f7664,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6160]) ).

fof(f7665,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6161]) ).

fof(f7666,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6196]) ).

fof(f7667,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4396,f6197]) ).

fof(f7707,definition,
    ! [X1,X2] :
      ( sQ351_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).

fof(f7708,plain,
    ! [X0,X1] :
      ( ~ sQ351_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))) ),
    inference(component_clause,[status(thm)],[f7707]) ).

fof(f7710,plain,
    ( sQ351_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7633,f4709,f7707]) ).

fof(f7711,definition,
    ! [X1,X2] :
      ( sQ352_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).

fof(f7712,plain,
    ! [X0,X1] :
      ( ~ sQ352_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))) ),
    inference(component_clause,[status(thm)],[f7711]) ).

fof(f7714,plain,
    ( sQ352_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7634,f4709,f7711]) ).

fof(f7715,definition,
    ! [X1,X2] :
      ( sQ353_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).

fof(f7716,plain,
    ! [X0,X1] :
      ( ~ sQ353_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))) ),
    inference(component_clause,[status(thm)],[f7715]) ).

fof(f7718,plain,
    ( sQ353_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7635,f4709,f7715]) ).

fof(f7719,definition,
    ! [X1,X2] :
      ( sQ354_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,cx)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).

fof(f7720,plain,
    ! [X0,X1] :
      ( ~ sQ354_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))) ),
    inference(component_clause,[status(thm)],[f7719]) ).

fof(f7722,plain,
    ( sQ354_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7636,f4709,f7719]) ).

fof(f7733,definition,
    ! [X1,X2] :
      ( sQ355_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).

fof(f7734,plain,
    ! [X0,X1] :
      ( ~ sQ355_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))) ),
    inference(component_clause,[status(thm)],[f7733]) ).

fof(f7736,plain,
    ( sQ355_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7647,f4709,f7733]) ).

fof(f7737,definition,
    ! [X1,X2] :
      ( sQ356_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).

fof(f7738,plain,
    ! [X0,X1] :
      ( ~ sQ356_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))) ),
    inference(component_clause,[status(thm)],[f7737]) ).

fof(f7740,plain,
    ( sQ356_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7648,f4709,f7737]) ).

fof(f7741,definition,
    ! [X1,X2] :
      ( sQ357_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).

fof(f7742,plain,
    ! [X0,X1] :
      ( ~ sQ357_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))) ),
    inference(component_clause,[status(thm)],[f7741]) ).

fof(f7744,plain,
    ( sQ357_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7649,f4709,f7741]) ).

fof(f7745,definition,
    ! [X1,X2] :
      ( sQ358_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,cx)),cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).

fof(f7746,plain,
    ! [X0,X1] :
      ( ~ sQ358_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))) ),
    inference(component_clause,[status(thm)],[f7745]) ).

fof(f7748,plain,
    ( sQ358_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7650,f4709,f7745]) ).

fof(f7762,definition,
    ! [X1,X2] :
      ( sQ359_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(cx,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).

fof(f7763,plain,
    ! [X0,X1] :
      ( ~ sQ359_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f7762]) ).

fof(f7765,plain,
    ( sQ359_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7664,f4709,f7762]) ).

fof(f7766,definition,
    ! [X1,X2] :
      ( sQ360_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(cx,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).

fof(f7767,plain,
    ! [X0,X1] :
      ( ~ sQ360_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f7766]) ).

fof(f7769,plain,
    ( sQ360_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7665,f4709,f7766]) ).

fof(f7770,definition,
    ! [X1,X2] :
      ( sQ361_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(empty_set,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).

fof(f7771,plain,
    ! [X0,X1] :
      ( ~ sQ361_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f7770]) ).

fof(f7773,plain,
    ( sQ361_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7666,f4709,f7770]) ).

fof(f7774,definition,
    ! [X1,X2] :
      ( sQ362_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(empty_set,empty_set))) ) ),
    introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).

fof(f7775,plain,
    ! [X0,X1] :
      ( ~ sQ362_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f7774]) ).

fof(f7777,plain,
    ( sQ362_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f7667,f4709,f7774]) ).

fof(f7792,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_collection(f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))),f5(X0,top_of_basis(X1)))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f6698,f130]) ).

fof(f7793,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_collection(f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))),f5(X0,top_of_basis(X1)))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f6698,f132]) ).

fof(f7794,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6698,f4396]) ).

fof(f7795,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6698,f3199]) ).

fof(f7797,plain,
    ! [X0,X1] :
      ( open(f1(ct,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6698,f3035]) ).

fof(f7798,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6698,f308]) ).

fof(f7799,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6698,f1148]) ).

fof(f7801,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6698,f3199]) ).

fof(f7802,definition,
    ! [X0,X1,X4] :
      ( sQ363_spl
    <=> ( element_of_set(X4,union_of_members(X0))
        | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
        | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).

fof(f7803,plain,
    ! [X0,X1,X2] :
      ( ~ sQ363_spl
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f7802]) ).

fof(f7805,plain,
    ( sQ109_spl
    | sQ363_spl ),
    inference(split_clause,[status(thm)],[f7794,f7802,f4685]) ).

fof(f7806,plain,
    ( sQ317_spl
    | sQ87_spl ),
    inference(split_clause,[status(thm)],[f7797,f4433,f6885]) ).

fof(f7807,plain,
    ( sQ317_spl
    | sQ105_spl ),
    inference(split_clause,[status(thm)],[f7798,f4504,f6885]) ).

fof(f7808,plain,
    ( sQ317_spl
    | sQ92_spl ),
    inference(split_clause,[status(thm)],[f7799,f4452,f6885]) ).

fof(f7809,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5863,f3035]) ).

fof(f7810,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5863,f308]) ).

fof(f7811,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5863,f1148]) ).

fof(f7812,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5863,f4396]) ).

fof(f7813,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5863,f3199]) ).

fof(f7814,definition,
    ! [X0,X2] :
      ( sQ364_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set)))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).

fof(f7815,plain,
    ! [X0,X1] :
      ( ~ sQ364_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f7814]) ).

fof(f7817,plain,
    ( sQ115_spl
    | sQ364_spl ),
    inference(split_clause,[status(thm)],[f7812,f7814,f4709]) ).

fof(f7818,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5862,f3035]) ).

fof(f7819,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5862,f308]) ).

fof(f7820,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5862,f1148]) ).

fof(f7821,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5862,f4396]) ).

fof(f7822,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5862,f3199]) ).

fof(f7823,definition,
    ! [X0,X2] :
      ( sQ365_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx)))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).

fof(f7824,plain,
    ! [X0,X1] :
      ( ~ sQ365_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f7823]) ).

fof(f7826,plain,
    ( sQ115_spl
    | sQ365_spl ),
    inference(split_clause,[status(thm)],[f7821,f7823,f4709]) ).

fof(f7827,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5827,f3035]) ).

fof(f7828,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5827,f308]) ).

fof(f7829,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5827,f1148]) ).

fof(f7830,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5827,f4396]) ).

fof(f7831,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5827,f3199]) ).

fof(f7832,definition,
    ! [X0,X2] :
      ( sQ366_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set)))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).

fof(f7833,plain,
    ! [X0,X1] :
      ( ~ sQ366_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f7832]) ).

fof(f7835,plain,
    ( sQ115_spl
    | sQ366_spl ),
    inference(split_clause,[status(thm)],[f7830,f7832,f4709]) ).

fof(f7836,plain,
    ! [X0] :
      ( open(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx)),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5826,f3035]) ).

fof(f7837,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5826,f308]) ).

fof(f7838,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5826,f1148]) ).

fof(f7839,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5826,f4396]) ).

fof(f7840,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5826,f3199]) ).

fof(f7841,definition,
    ! [X0,X2] :
      ( sQ367_spl
    <=> ( element_of_set(X2,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx)))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).

fof(f7842,plain,
    ! [X0,X1] :
      ( ~ sQ367_spl
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f7841]) ).

fof(f7844,plain,
    ( sQ115_spl
    | sQ367_spl ),
    inference(split_clause,[status(thm)],[f7839,f7841,f4709]) ).

fof(f7845,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ64_spl
      | element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f4249]) ).

fof(f7846,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X5,X3)
      | element_of_set(X2,union_of_members(subspace_topology(X3,X4,X5)))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f3029]) ).

fof(f7847,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X3,X4)
      | element_of_set(X2,union_of_members(subspace_topology(X3,X4,X5)))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f3026]) ).

fof(f7848,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X3,f11(X4,intersection_of_members(X3))),X3)
      | element_of_collection(intersection_of_members(X3),top_of_basis(X4))
      | element_of_set(X2,union_of_members(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f6698]) ).

fof(f7849,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X3)),union_of_members(X3))
      | element_of_collection(intersection_of_members(X3),top_of_basis(X4))
      | element_of_set(X2,union_of_members(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f6680]) ).

fof(f7850,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X4)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f3034]) ).

fof(f7851,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f3032]) ).

fof(f7853,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f532]) ).

fof(f7854,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f533]) ).

fof(f7855,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f582]) ).

fof(f7856,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f583]) ).

fof(f7857,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f458]) ).

fof(f7858,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f459]) ).

fof(f7859,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f2486]) ).

fof(f7860,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f2776]) ).

fof(f7861,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f420]) ).

fof(f7862,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f421]) ).

fof(f7863,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f2901]) ).

fof(f7864,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f320]) ).

fof(f7865,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f321]) ).

fof(f7866,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f324]) ).

fof(f7867,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f325]) ).

fof(f7868,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f326]) ).

fof(f7869,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(f2(ct,X2),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f327]) ).

fof(f7870,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f287]) ).

fof(f7871,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f288]) ).

fof(f7872,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5889]) ).

fof(f7873,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5918]) ).

fof(f7874,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6224]) ).

fof(f7875,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X2,cx)),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6254]) ).

fof(f7876,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f310]) ).

fof(f7877,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f314]) ).

fof(f7878,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f329]) ).

fof(f7879,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f334]) ).

fof(f7880,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(cx,f2(ct,X2)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f306]) ).

fof(f7881,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | element_of_set(X1,intersection_of_sets(cx,f16(X2,a,cx,ct)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3381]) ).

fof(f7882,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3229]) ).

fof(f7883,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X2,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3251]) ).

fof(f7884,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f279]) ).

fof(f7885,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f280]) ).

fof(f7886,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5890]) ).

fof(f7887,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5919]) ).

fof(f7888,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6225]) ).

fof(f7889,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X2,cx)),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6255]) ).

fof(f7890,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f311]) ).

fof(f7891,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f315]) ).

fof(f7892,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f330]) ).

fof(f7893,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f335]) ).

fof(f7894,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X2)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f307]) ).

fof(f7895,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | element_of_set(X1,intersection_of_sets(empty_set,f16(X2,a,cx,ct)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3382]) ).

fof(f7896,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3230]) ).

fof(f7897,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X2,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3252]) ).

fof(f7898,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f2451]) ).

fof(f7899,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f2452]) ).

fof(f7900,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X3,union_of_members(ct)))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f2339]) ).

fof(f7901,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5826]) ).

fof(f7902,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5827]) ).

fof(f7903,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5862]) ).

fof(f7904,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5863]) ).

fof(f7905,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,empty_set)),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5864]) ).

fof(f7906,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,empty_set)),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f5865]) ).

fof(f7907,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6160]) ).

fof(f7908,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6161]) ).

fof(f7909,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6196]) ).

fof(f7910,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6197]) ).

fof(f7911,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6198]) ).

fof(f7912,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_sets(f1(ct,f11(X2,cx)),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f6199]) ).

fof(f7913,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X4)
      | element_of_set(X2,boundary(X3,X4,X5))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f3033]) ).

fof(f7914,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,boundary(X3,X4,X5))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f1086]) ).

fof(f7915,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X4)
      | element_of_set(X2,interior(X3,X4,X5))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f1087]) ).

fof(f7916,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,interior(X3,X4,X5))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4407,f1088]) ).

fof(f7917,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | element_of_set(X1,f16(X2,a,cx,ct))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3357]) ).

fof(f7918,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,f1(ct,f11(X2,intersection_of_members(ct))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f4364]) ).

fof(f7919,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,f1(ct,f11(X2,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3203]) ).

fof(f7920,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,f1(ct,f11(X2,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f3201]) ).

fof(f7924,plain,
    ! [X0,X1] :
      ( element_of_set(X1,cx)
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f274]) ).

fof(f7925,plain,
    ! [X0,X1] :
      ( element_of_set(X1,empty_set)
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4407,f275]) ).

fof(f7926,definition,
    ! [X0,X1] :
      ( sQ368_spl
    <=> ( element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
        | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).

fof(f7927,plain,
    ! [X0,X1] :
      ( ~ sQ368_spl
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f7926]) ).

fof(f7929,plain,
    ( ~ sQ64_spl
    | sQ110_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7845,f7926,f4688,f4248]) ).

fof(f7930,plain,
    ( sQ111_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7846,f7926,f4693]) ).

fof(f7931,plain,
    ( sQ112_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7847,f7926,f4697]) ).

fof(f7932,plain,
    ( sQ363_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7848,f7926,f7802]) ).

fof(f7933,plain,
    ( sQ312_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7849,f7926,f6700]) ).

fof(f7934,plain,
    ( sQ113_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7850,f7926,f4701]) ).

fof(f7935,plain,
    ( sQ114_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7851,f7926,f4705]) ).

fof(f7936,definition,
    ! [X0] :
      ( sQ369_spl
    <=> ( element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).

fof(f7939,plain,
    ( sQ145_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7853,f7936,f4828]) ).

fof(f7940,plain,
    ( sQ144_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7854,f7936,f4824]) ).

fof(f7941,plain,
    ( sQ139_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7855,f7936,f4804]) ).

fof(f7942,plain,
    ( sQ138_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7856,f7936,f4800]) ).

fof(f7943,plain,
    ( sQ163_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7857,f7936,f4900]) ).

fof(f7944,plain,
    ( sQ162_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7858,f7936,f4896]) ).

fof(f7945,plain,
    ( sQ151_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7859,f7936,f4852]) ).

fof(f7946,plain,
    ( sQ146_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7860,f7936,f4832]) ).

fof(f7947,plain,
    ( sQ174_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7861,f7936,f4944]) ).

fof(f7948,plain,
    ( sQ173_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7862,f7936,f4940]) ).

fof(f7949,plain,
    ( sQ164_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7863,f7936,f4904]) ).

fof(f7950,plain,
    ( sQ194_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7864,f7936,f5024]) ).

fof(f7951,plain,
    ( sQ193_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7865,f7936,f5020]) ).

fof(f7952,plain,
    ( sQ186_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7866,f7936,f4992]) ).

fof(f7953,plain,
    ( sQ185_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7867,f7936,f4988]) ).

fof(f7954,plain,
    ( sQ196_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7868,f7936,f5032]) ).

fof(f7955,plain,
    ( sQ195_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7869,f7936,f5028]) ).

fof(f7956,plain,
    ( sQ232_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7870,f7936,f5176]) ).

fof(f7957,plain,
    ( sQ231_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7871,f7936,f5172]) ).

fof(f7958,plain,
    ( sQ351_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7872,f7936,f7707]) ).

fof(f7959,plain,
    ( sQ352_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7873,f7936,f7711]) ).

fof(f7960,plain,
    ( sQ353_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7874,f7936,f7715]) ).

fof(f7961,plain,
    ( sQ354_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7875,f7936,f7719]) ).

fof(f7962,plain,
    ( sQ229_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7876,f7936,f5164]) ).

fof(f7963,plain,
    ( sQ222_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7877,f7936,f5136]) ).

fof(f7964,plain,
    ( sQ215_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7878,f7936,f5108]) ).

fof(f7965,plain,
    ( sQ214_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7879,f7936,f5104]) ).

fof(f7966,plain,
    ( sQ230_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7880,f7936,f5168]) ).

fof(f7967,plain,
    ( sQ197_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7881,f7936,f5036]) ).

fof(f7968,plain,
    ( sQ199_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7882,f7936,f5044]) ).

fof(f7969,plain,
    ( sQ198_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7883,f7936,f5040]) ).

fof(f7970,plain,
    ( sQ268_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7884,f7936,f5320]) ).

fof(f7971,plain,
    ( sQ267_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7885,f7936,f5316]) ).

fof(f7972,plain,
    ( sQ355_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7886,f7936,f7733]) ).

fof(f7973,plain,
    ( sQ356_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7887,f7936,f7737]) ).

fof(f7974,plain,
    ( sQ357_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7888,f7936,f7741]) ).

fof(f7975,plain,
    ( sQ358_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7889,f7936,f7745]) ).

fof(f7976,plain,
    ( sQ259_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7890,f7936,f5284]) ).

fof(f7977,plain,
    ( sQ265_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7891,f7936,f5308]) ).

fof(f7978,plain,
    ( sQ252_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7892,f7936,f5256]) ).

fof(f7979,plain,
    ( sQ251_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7893,f7936,f5252]) ).

fof(f7980,plain,
    ( sQ237_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7894,f7936,f5196]) ).

fof(f7981,plain,
    ( sQ233_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7895,f7936,f5180]) ).

fof(f7982,plain,
    ( sQ235_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7896,f7936,f5188]) ).

fof(f7983,plain,
    ( sQ234_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7897,f7936,f5184]) ).

fof(f7984,plain,
    ( sQ127_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7898,f7936,f4756]) ).

fof(f7985,plain,
    ( sQ126_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7899,f7936,f4752]) ).

fof(f7986,plain,
    ( sQ125_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7900,f7936,f4748]) ).

fof(f7987,plain,
    ( sQ367_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7901,f7936,f7841]) ).

fof(f7988,plain,
    ( sQ366_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7902,f7936,f7832]) ).

fof(f7989,plain,
    ( sQ365_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7903,f7936,f7823]) ).

fof(f7990,plain,
    ( sQ364_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7904,f7936,f7814]) ).

fof(f7991,plain,
    ( sQ285_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7905,f7936,f5895]) ).

fof(f7992,plain,
    ( sQ286_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7906,f7936,f5924]) ).

fof(f7993,plain,
    ( sQ359_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7907,f7936,f7762]) ).

fof(f7994,plain,
    ( sQ360_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7908,f7936,f7766]) ).

fof(f7995,plain,
    ( sQ361_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7909,f7936,f7770]) ).

fof(f7996,plain,
    ( sQ362_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7910,f7936,f7774]) ).

fof(f7997,plain,
    ( sQ293_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7911,f7936,f6230]) ).

fof(f7998,plain,
    ( sQ294_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7912,f7936,f6260]) ).

fof(f7999,plain,
    ( sQ122_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7913,f7926,f4736]) ).

fof(f8000,plain,
    ( sQ123_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7914,f7926,f4740]) ).

fof(f8001,plain,
    ( sQ121_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7915,f7926,f4732]) ).

fof(f8002,plain,
    ( sQ120_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f7916,f7926,f4728]) ).

fof(f8003,plain,
    ( sQ116_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7917,f7936,f4712]) ).

fof(f8004,plain,
    ( sQ117_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7918,f7936,f4716]) ).

fof(f8005,plain,
    ( sQ118_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7919,f7936,f4720]) ).

fof(f8006,plain,
    ( sQ119_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7920,f7936,f4724]) ).

fof(f8007,plain,
    ( sQ270_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7924,f7936,f5328]) ).

fof(f8008,plain,
    ( sQ269_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f7925,f7936,f5324]) ).

fof(f8009,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4388,f3035]) ).

fof(f8010,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4388,f308]) ).

fof(f8011,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4388,f1148]) ).

fof(f8012,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4388,f4407]) ).

fof(f8013,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4388,f4396]) ).

fof(f8014,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4388,f3199]) ).

fof(f8015,definition,
    ! [X0,X2] :
      ( sQ370_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).

fof(f8016,plain,
    ! [X0,X1] :
      ( ~ sQ370_spl
      | element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f8015]) ).

fof(f8018,plain,
    ( sQ369_spl
    | sQ370_spl ),
    inference(split_clause,[status(thm)],[f8012,f8015,f7936]) ).

fof(f8019,plain,
    ( sQ115_spl
    | sQ370_spl ),
    inference(split_clause,[status(thm)],[f8013,f8015,f4709]) ).

fof(f8020,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4387,f3035]) ).

fof(f8021,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4387,f308]) ).

fof(f8022,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4387,f1148]) ).

fof(f8023,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4387,f4407]) ).

fof(f8024,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4387,f4396]) ).

fof(f8025,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4387,f3199]) ).

fof(f8026,definition,
    ! [X0,X2] :
      ( sQ371_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).

fof(f8027,plain,
    ! [X0,X1] :
      ( ~ sQ371_spl
      | element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f8026]) ).

fof(f8029,plain,
    ( sQ369_spl
    | sQ371_spl ),
    inference(split_clause,[status(thm)],[f8023,f8026,f7936]) ).

fof(f8030,plain,
    ( sQ115_spl
    | sQ371_spl ),
    inference(split_clause,[status(thm)],[f8024,f8026,f4709]) ).

fof(f8033,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3488,f3035]) ).

fof(f8034,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3488,f308]) ).

fof(f8035,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3488,f1148]) ).

fof(f8036,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3488,f4407]) ).

fof(f8037,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3488,f4396]) ).

fof(f8038,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3488,f3199]) ).

fof(f8039,definition,
    ! [X0,X2] :
      ( sQ372_spl
    <=> ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
        | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).

fof(f8040,plain,
    ! [X0,X1] :
      ( ~ sQ372_spl
      | element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f8039]) ).

fof(f8042,plain,
    ( sQ369_spl
    | sQ372_spl ),
    inference(split_clause,[status(thm)],[f8036,f8039,f7936]) ).

fof(f8043,plain,
    ( sQ115_spl
    | sQ372_spl ),
    inference(split_clause,[status(thm)],[f8037,f8039,f4709]) ).

fof(f8044,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3475,f3035]) ).

fof(f8045,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3475,f308]) ).

fof(f8046,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3475,f1148]) ).

fof(f8047,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3475,f4407]) ).

fof(f8048,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3475,f4396]) ).

fof(f8049,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3475,f3199]) ).

fof(f8050,definition,
    ! [X0,X2] :
      ( sQ373_spl
    <=> ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
        | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).

fof(f8051,plain,
    ! [X0,X1] :
      ( ~ sQ373_spl
      | element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f8050]) ).

fof(f8053,plain,
    ( sQ369_spl
    | sQ373_spl ),
    inference(split_clause,[status(thm)],[f8047,f8050,f7936]) ).

fof(f8054,plain,
    ( sQ115_spl
    | sQ373_spl ),
    inference(split_clause,[status(thm)],[f8048,f8050,f4709]) ).

fof(f8055,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,intersection_of_sets(cx,cx))),cx,ct)
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3473,f3035]) ).

fof(f8056,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3473,f308]) ).

fof(f8057,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3473,f1148]) ).

fof(f8058,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3473,f4407]) ).

fof(f8059,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3473,f4396]) ).

fof(f8060,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3473,f3199]) ).

fof(f8061,definition,
    ! [X0,X2] :
      ( sQ374_spl
    <=> ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
        | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).

fof(f8062,plain,
    ! [X0,X1] :
      ( ~ sQ374_spl
      | element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f8061]) ).

fof(f8064,plain,
    ( sQ369_spl
    | sQ374_spl ),
    inference(split_clause,[status(thm)],[f8058,f8061,f7936]) ).

fof(f8065,plain,
    ( sQ115_spl
    | sQ374_spl ),
    inference(split_clause,[status(thm)],[f8059,f8061,f4709]) ).

fof(f8066,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3470,f3035]) ).

fof(f8067,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3470,f308]) ).

fof(f8068,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3470,f1148]) ).

fof(f8069,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3470,f4407]) ).

fof(f8070,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3470,f4396]) ).

fof(f8071,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3470,f3199]) ).

fof(f8072,definition,
    ! [X0,X2] :
      ( sQ375_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).

fof(f8073,plain,
    ! [X0,X1] :
      ( ~ sQ375_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f8072]) ).

fof(f8075,plain,
    ( sQ369_spl
    | sQ375_spl ),
    inference(split_clause,[status(thm)],[f8069,f8072,f7936]) ).

fof(f8076,plain,
    ( sQ115_spl
    | sQ375_spl ),
    inference(split_clause,[status(thm)],[f8070,f8072,f4709]) ).

fof(f8077,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f3035]) ).

fof(f8078,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f308]) ).

fof(f8079,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f1148]) ).

fof(f8080,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f4407]) ).

fof(f8082,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3469,f3199]) ).

fof(f8083,plain,
    ( sQ369_spl
    | sQ311_spl ),
    inference(split_clause,[status(thm)],[f8080,f6675,f7936]) ).

fof(f8085,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f3035]) ).

fof(f8086,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f308]) ).

fof(f8087,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f1148]) ).

fof(f8088,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f4407]) ).

fof(f8090,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3448,f3199]) ).

fof(f8091,plain,
    ( sQ369_spl
    | sQ310_spl ),
    inference(split_clause,[status(thm)],[f8088,f6645,f7936]) ).

fof(f8093,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f3035]) ).

fof(f8094,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f308]) ).

fof(f8095,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f1148]) ).

fof(f8096,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f4407]) ).

fof(f8098,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3447,f3199]) ).

fof(f8099,plain,
    ( sQ369_spl
    | sQ309_spl ),
    inference(split_clause,[status(thm)],[f8096,f6615,f7936]) ).

fof(f8101,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f2(ct,X1)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f119]) ).

fof(f8102,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f532]) ).

fof(f8103,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f533]) ).

fof(f8104,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f582]) ).

fof(f8105,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f583]) ).

fof(f8106,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f458]) ).

fof(f8107,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f459]) ).

fof(f8108,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2486]) ).

fof(f8109,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2776]) ).

fof(f8110,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f420]) ).

fof(f8111,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f421]) ).

fof(f8112,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2901]) ).

fof(f8113,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f320]) ).

fof(f8114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f321]) ).

fof(f8115,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f324]) ).

fof(f8116,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f325]) ).

fof(f8117,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f326]) ).

fof(f8118,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f327]) ).

fof(f8121,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5889]) ).

fof(f8122,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5918]) ).

fof(f8123,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6224]) ).

fof(f8124,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6254]) ).

fof(f8125,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3447]) ).

fof(f8126,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f310]) ).

fof(f8127,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3469]) ).

fof(f8128,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f314]) ).

fof(f8129,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f329]) ).

fof(f8130,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f334]) ).

fof(f8131,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f306]) ).

fof(f8132,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3381]) ).

fof(f8133,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f4387]) ).

fof(f8134,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3229]) ).

fof(f8135,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3251]) ).

fof(f8138,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5890]) ).

fof(f8139,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5919]) ).

fof(f8140,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6225]) ).

fof(f8141,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6255]) ).

fof(f8142,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3448]) ).

fof(f8143,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f311]) ).

fof(f8144,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3470]) ).

fof(f8145,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f315]) ).

fof(f8146,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f330]) ).

fof(f8147,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f335]) ).

fof(f8148,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f307]) ).

fof(f8149,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3382]) ).

fof(f8150,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f4388]) ).

fof(f8151,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3230]) ).

fof(f8152,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3252]) ).

fof(f8153,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2451]) ).

fof(f8154,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2452]) ).

fof(f8155,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f2339]) ).

fof(f8156,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5826]) ).

fof(f8157,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5827]) ).

fof(f8158,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5862]) ).

fof(f8159,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5863]) ).

fof(f8160,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5864]) ).

fof(f8161,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f5865]) ).

fof(f8162,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6160]) ).

fof(f8163,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6161]) ).

fof(f8164,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6196]) ).

fof(f8165,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6197]) ).

fof(f8166,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6198]) ).

fof(f8167,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6199]) ).

fof(f8168,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f16(X1,a,cx,ct)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3357]) ).

fof(f8169,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3473]) ).

fof(f8170,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3475]) ).

fof(f8171,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3488]) ).

fof(f8172,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f4364]) ).

fof(f8173,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3203]) ).

fof(f8174,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f3201]) ).

fof(f8175,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f6698]) ).

fof(f8177,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3253,f1083]) ).

fof(f8180,plain,
    ( sQ317_spl
    | sQ292_spl ),
    inference(split_clause,[status(thm)],[f8175,f6200,f6885]) ).

fof(f8182,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f3253]) ).

fof(f8183,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f3035]) ).

fof(f8184,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f308]) ).

fof(f8185,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f1148]) ).

fof(f8186,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f4407]) ).

fof(f8188,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3236,f3199]) ).

fof(f8189,plain,
    ( sQ369_spl
    | sQ291_spl ),
    inference(split_clause,[status(thm)],[f8186,f6023,f7936]) ).

fof(f8191,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f3253]) ).

fof(f8192,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f3035]) ).

fof(f8193,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f308]) ).

fof(f8194,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f1148]) ).

fof(f8195,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f4407]) ).

fof(f8197,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3235,f3199]) ).

fof(f8198,plain,
    ( sQ369_spl
    | sQ290_spl ),
    inference(split_clause,[status(thm)],[f8195,f5994,f7936]) ).

fof(f8200,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f3253]) ).

fof(f8201,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f3035]) ).

fof(f8202,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f308]) ).

fof(f8203,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f1148]) ).

fof(f8204,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f4407]) ).

fof(f8206,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3234,f3199]) ).

fof(f8207,plain,
    ( sQ369_spl
    | sQ289_spl ),
    inference(split_clause,[status(thm)],[f8204,f5965,f7936]) ).

fof(f8210,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,cx)),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f3253]) ).

fof(f8211,plain,
    ! [X0,X1] :
      ( open(f1(ct,f11(X1,f2(ct,X0))),cx,ct)
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f3035]) ).

fof(f8212,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f308]) ).

fof(f8213,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X1,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1159,f1148]) ).

fof(f8216,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(X1)),f1(X1,f11(X2,f2(X1,X0))))
      | element_of_collection(f2(X1,X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1159,f3199]) ).

fof(f8217,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f3253]) ).

fof(f8219,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f308]) ).

fof(f8220,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f1148]) ).

fof(f8221,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f4407]) ).

fof(f8223,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1147,f3199]) ).

fof(f8224,plain,
    ( sQ369_spl
    | sQ236_spl ),
    inference(split_clause,[status(thm)],[f8221,f5192,f7936]) ).

fof(f8226,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f3253]) ).

fof(f8228,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f308]) ).

fof(f8229,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f1148]) ).

fof(f8230,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f4407]) ).

fof(f8232,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1146,f3199]) ).

fof(f8233,plain,
    ( sQ369_spl
    | sQ200_spl ),
    inference(split_clause,[status(thm)],[f8230,f5048,f7936]) ).

fof(f8235,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f2(ct,X1)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f119]) ).

fof(f8236,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f532]) ).

fof(f8237,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f533]) ).

fof(f8238,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f582]) ).

fof(f8239,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f583]) ).

fof(f8240,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f458]) ).

fof(f8241,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f459]) ).

fof(f8242,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3236]) ).

fof(f8243,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2486]) ).

fof(f8244,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3235]) ).

fof(f8245,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2776]) ).

fof(f8246,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f420]) ).

fof(f8247,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f421]) ).

fof(f8248,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3234]) ).

fof(f8249,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2901]) ).

fof(f8250,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f320]) ).

fof(f8251,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f321]) ).

fof(f8252,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f324]) ).

fof(f8253,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f325]) ).

fof(f8254,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f326]) ).

fof(f8255,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f327]) ).

fof(f8258,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5889]) ).

fof(f8259,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5918]) ).

fof(f8260,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6224]) ).

fof(f8261,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6254]) ).

fof(f8262,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3447]) ).

fof(f8263,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f310]) ).

fof(f8264,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3469]) ).

fof(f8265,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f314]) ).

fof(f8266,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f329]) ).

fof(f8267,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f334]) ).

fof(f8268,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f306]) ).

fof(f8269,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3381]) ).

fof(f8270,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1146]) ).

fof(f8271,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f4387]) ).

fof(f8272,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3229]) ).

fof(f8273,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3251]) ).

fof(f8276,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5890]) ).

fof(f8277,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5919]) ).

fof(f8278,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6225]) ).

fof(f8279,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6255]) ).

fof(f8280,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3448]) ).

fof(f8281,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f311]) ).

fof(f8282,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3470]) ).

fof(f8283,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f315]) ).

fof(f8284,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f330]) ).

fof(f8285,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f335]) ).

fof(f8286,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f307]) ).

fof(f8287,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3382]) ).

fof(f8288,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1147]) ).

fof(f8289,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f4388]) ).

fof(f8290,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3230]) ).

fof(f8291,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3252]) ).

fof(f8292,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2451]) ).

fof(f8293,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2452]) ).

fof(f8294,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f2339]) ).

fof(f8295,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5826]) ).

fof(f8296,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5827]) ).

fof(f8297,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5862]) ).

fof(f8298,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5863]) ).

fof(f8299,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5864]) ).

fof(f8300,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f5865]) ).

fof(f8301,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6160]) ).

fof(f8302,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6161]) ).

fof(f8303,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6196]) ).

fof(f8304,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6197]) ).

fof(f8305,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6198]) ).

fof(f8306,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6199]) ).

fof(f8307,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f16(X1,a,cx,ct)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3357]) ).

fof(f8308,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3473]) ).

fof(f8309,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3475]) ).

fof(f8310,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3488]) ).

fof(f8311,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f4364]) ).

fof(f8312,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3203]) ).

fof(f8313,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f3201]) ).

fof(f8314,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1159]) ).

fof(f8315,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f6698]) ).

fof(f8317,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3231,f1083]) ).

fof(f8320,plain,
    ( sQ317_spl
    | sQ284_spl ),
    inference(split_clause,[status(thm)],[f8315,f5866,f6885]) ).

fof(f8322,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3231]) ).

fof(f8323,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3253]) ).

fof(f8324,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3035]) ).

fof(f8325,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f308]) ).

fof(f8326,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f1148]) ).

fof(f8327,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f4407]) ).

fof(f8329,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3426,f3199]) ).

fof(f8330,plain,
    ( sQ369_spl
    | sQ308_spl ),
    inference(split_clause,[status(thm)],[f8327,f6585,f7936]) ).

fof(f8332,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3231]) ).

fof(f8333,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3253]) ).

fof(f8334,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3035]) ).

fof(f8335,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f308]) ).

fof(f8336,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f1148]) ).

fof(f8337,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f4407]) ).

fof(f8339,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3425,f3199]) ).

fof(f8340,plain,
    ( sQ369_spl
    | sQ307_spl ),
    inference(split_clause,[status(thm)],[f8337,f6555,f7936]) ).

fof(f8342,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3231]) ).

fof(f8343,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3253]) ).

fof(f8344,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3035]) ).

fof(f8345,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f308]) ).

fof(f8346,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f1148]) ).

fof(f8347,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f4407]) ).

fof(f8349,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3404,f3199]) ).

fof(f8350,plain,
    ( sQ369_spl
    | sQ306_spl ),
    inference(split_clause,[status(thm)],[f8347,f6525,f7936]) ).

fof(f8352,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3231]) ).

fof(f8353,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3253]) ).

fof(f8354,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3035]) ).

fof(f8355,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f308]) ).

fof(f8356,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f1148]) ).

fof(f8357,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f4407]) ).

fof(f8359,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3403,f3199]) ).

fof(f8360,plain,
    ( sQ369_spl
    | sQ305_spl ),
    inference(split_clause,[status(thm)],[f8357,f6495,f7936]) ).

fof(f8362,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f3231]) ).

fof(f8363,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f3253]) ).

fof(f8364,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f3035]) ).

fof(f8365,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f308]) ).

fof(f8366,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f1148]) ).

fof(f8367,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f4407]) ).

fof(f8369,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3214,f3199]) ).

fof(f8370,plain,
    ( sQ369_spl
    | sQ283_spl ),
    inference(split_clause,[status(thm)],[f8367,f5694,f7936]) ).

fof(f8372,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f3231]) ).

fof(f8373,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f3253]) ).

fof(f8374,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f3035]) ).

fof(f8375,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f308]) ).

fof(f8376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f1148]) ).

fof(f8377,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f4407]) ).

fof(f8379,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3213,f3199]) ).

fof(f8380,plain,
    ( sQ369_spl
    | sQ282_spl ),
    inference(split_clause,[status(thm)],[f8377,f5666,f7936]) ).

fof(f8382,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f3231]) ).

fof(f8383,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f3253]) ).

fof(f8384,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f3035]) ).

fof(f8385,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f308]) ).

fof(f8386,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f1148]) ).

fof(f8387,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f4407]) ).

fof(f8389,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3212,f3199]) ).

fof(f8390,plain,
    ( sQ369_spl
    | sQ281_spl ),
    inference(split_clause,[status(thm)],[f8387,f5638,f7936]) ).

fof(f8392,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3231]) ).

fof(f8393,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3253]) ).

fof(f8395,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f308]) ).

fof(f8396,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f1148]) ).

fof(f8397,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f4407]) ).

fof(f8399,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3354,f3199]) ).

fof(f8400,plain,
    ( sQ369_spl
    | sQ302_spl ),
    inference(split_clause,[status(thm)],[f8397,f6452,f7936]) ).

fof(f8402,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3231]) ).

fof(f8403,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3253]) ).

fof(f8405,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f308]) ).

fof(f8406,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f1148]) ).

fof(f8407,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f4407]) ).

fof(f8409,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3353,f3199]) ).

fof(f8410,plain,
    ( sQ369_spl
    | sQ301_spl ),
    inference(split_clause,[status(thm)],[f8407,f6422,f7936]) ).

fof(f8412,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3231]) ).

fof(f8413,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3253]) ).

fof(f8415,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f308]) ).

fof(f8416,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f1148]) ).

fof(f8417,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f4407]) ).

fof(f8419,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3332,f3199]) ).

fof(f8420,plain,
    ( sQ369_spl
    | sQ300_spl ),
    inference(split_clause,[status(thm)],[f8417,f6392,f7936]) ).

fof(f8422,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3231]) ).

fof(f8423,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3253]) ).

fof(f8425,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f308]) ).

fof(f8426,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f1148]) ).

fof(f8427,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f4407]) ).

fof(f8429,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3331,f3199]) ).

fof(f8430,plain,
    ( sQ369_spl
    | sQ299_spl ),
    inference(split_clause,[status(thm)],[f8427,f6362,f7936]) ).

fof(f8432,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3231]) ).

fof(f8433,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3253]) ).

fof(f8435,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f308]) ).

fof(f8436,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f1148]) ).

fof(f8437,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f4407]) ).

fof(f8439,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3310,f3199]) ).

fof(f8440,plain,
    ( sQ369_spl
    | sQ298_spl ),
    inference(split_clause,[status(thm)],[f8437,f6332,f7936]) ).

fof(f8442,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3231]) ).

fof(f8443,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3253]) ).

fof(f8445,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f308]) ).

fof(f8446,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f1148]) ).

fof(f8447,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f4407]) ).

fof(f8449,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3309,f3199]) ).

fof(f8450,plain,
    ( sQ369_spl
    | sQ297_spl ),
    inference(split_clause,[status(thm)],[f8447,f6302,f7936]) ).

fof(f8452,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f3231]) ).

fof(f8453,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f3253]) ).

fof(f8455,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f308]) ).

fof(f8456,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f1148]) ).

fof(f8457,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f4407]) ).

fof(f8459,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2990,f3199]) ).

fof(f8460,plain,
    ( sQ369_spl
    | sQ280_spl ),
    inference(split_clause,[status(thm)],[f8457,f5610,f7936]) ).

fof(f8462,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f3231]) ).

fof(f8463,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f3253]) ).

fof(f8465,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f308]) ).

fof(f8466,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f1148]) ).

fof(f8467,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f4407]) ).

fof(f8469,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2986,f3199]) ).

fof(f8470,plain,
    ( sQ369_spl
    | sQ279_spl ),
    inference(split_clause,[status(thm)],[f8467,f5582,f7936]) ).

fof(f8472,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f3231]) ).

fof(f8473,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f3253]) ).

fof(f8475,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f308]) ).

fof(f8476,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f1148]) ).

fof(f8477,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f4407]) ).

fof(f8479,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2955,f3199]) ).

fof(f8480,plain,
    ( sQ369_spl
    | sQ278_spl ),
    inference(split_clause,[status(thm)],[f8477,f5554,f7936]) ).

fof(f8482,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f3231]) ).

fof(f8483,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f3253]) ).

fof(f8485,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f308]) ).

fof(f8486,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f1148]) ).

fof(f8487,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f4407]) ).

fof(f8489,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2954,f3199]) ).

fof(f8490,plain,
    ( sQ369_spl
    | sQ277_spl ),
    inference(split_clause,[status(thm)],[f8487,f5526,f7936]) ).

fof(f8492,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f3231]) ).

fof(f8493,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f3253]) ).

fof(f8495,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f308]) ).

fof(f8496,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f1148]) ).

fof(f8497,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f4407]) ).

fof(f8499,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2865,f3199]) ).

fof(f8500,plain,
    ( sQ369_spl
    | sQ276_spl ),
    inference(split_clause,[status(thm)],[f8497,f5498,f7936]) ).

fof(f8502,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f3231]) ).

fof(f8503,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f3253]) ).

fof(f8505,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f308]) ).

fof(f8506,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f1148]) ).

fof(f8507,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f4407]) ).

fof(f8509,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2861,f3199]) ).

fof(f8510,plain,
    ( sQ369_spl
    | sQ275_spl ),
    inference(split_clause,[status(thm)],[f8507,f5470,f7936]) ).

fof(f8521,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0))),ct)
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f3231]) ).

fof(f8522,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0))),ct)
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f3253]) ).

fof(f8523,plain,
    ! [X0,X1] :
      ( open(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0)),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f3035]) ).

fof(f8524,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f308]) ).

fof(f8525,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f1148]) ).

fof(f8526,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0)))
      | element_of_collection(f1(ct,f11(X2,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f4407]) ).

fof(f8528,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0)))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f7082,f3199]) ).

fof(f8529,plain,
    ( sQ369_spl
    | sQ124_spl ),
    inference(split_clause,[status(thm)],[f8526,f4744,f7936]) ).

fof(f8535,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3023,f3231]) ).

fof(f8536,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3023,f3253]) ).

fof(f8537,plain,
    open(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),cx,ct),
    inference(resolution,[status(thm)],[f3023,f3035]) ).

fof(f8538,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3023,f308]) ).

fof(f8539,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3023,f1148]) ).

fof(f8540,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3023,f4407]) ).

fof(f8541,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3023,f4396]) ).

fof(f8542,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)) ),
    inference(resolution,[status(thm)],[f3023,f3199]) ).

fof(f8543,definition,
    ! [X1] :
      ( sQ376_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),cx)) ),
    introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).

fof(f8544,plain,
    ! [X0] :
      ( ~ sQ376_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx)) ),
    inference(component_clause,[status(thm)],[f8543]) ).

fof(f8546,plain,
    ( sQ376_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8540,f7936,f8543]) ).

fof(f8547,plain,
    ( sQ376_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f8541,f4709,f8543]) ).

fof(f8548,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3022,f3231]) ).

fof(f8549,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3022,f3253]) ).

fof(f8550,plain,
    open(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),cx,ct),
    inference(resolution,[status(thm)],[f3022,f3035]) ).

fof(f8551,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3022,f308]) ).

fof(f8552,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3022,f1148]) ).

fof(f8553,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3022,f4407]) ).

fof(f8554,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3022,f4396]) ).

fof(f8555,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)) ),
    inference(resolution,[status(thm)],[f3022,f3199]) ).

fof(f8556,definition,
    ! [X1] :
      ( sQ377_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)) ),
    introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).

fof(f8557,plain,
    ! [X0] :
      ( ~ sQ377_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)) ),
    inference(component_clause,[status(thm)],[f8556]) ).

fof(f8559,plain,
    ( sQ377_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8553,f7936,f8556]) ).

fof(f8560,plain,
    ( sQ377_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f8554,f4709,f8556]) ).

fof(f8561,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2898,f3231]) ).

fof(f8562,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2898,f3253]) ).

fof(f8563,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),cx,ct),
    inference(resolution,[status(thm)],[f2898,f3035]) ).

fof(f8564,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2898,f308]) ).

fof(f8565,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2898,f1148]) ).

fof(f8566,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2898,f4407]) ).

fof(f8567,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2898,f4396]) ).

fof(f8568,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)) ),
    inference(resolution,[status(thm)],[f2898,f3199]) ).

fof(f8569,definition,
    ! [X1] :
      ( sQ378_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),cx)) ),
    introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).

fof(f8570,plain,
    ! [X0] :
      ( ~ sQ378_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx)) ),
    inference(component_clause,[status(thm)],[f8569]) ).

fof(f8572,plain,
    ( sQ378_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8566,f7936,f8569]) ).

fof(f8573,plain,
    ( sQ378_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f8567,f4709,f8569]) ).

fof(f8574,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2897,f3231]) ).

fof(f8575,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2897,f3253]) ).

fof(f8576,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),cx,ct),
    inference(resolution,[status(thm)],[f2897,f3035]) ).

fof(f8577,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2897,f308]) ).

fof(f8578,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2897,f1148]) ).

fof(f8579,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2897,f4407]) ).

fof(f8580,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2897,f4396]) ).

fof(f8581,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)) ),
    inference(resolution,[status(thm)],[f2897,f3199]) ).

fof(f8582,definition,
    ! [X1] :
      ( sQ379_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)) ),
    introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).

fof(f8583,plain,
    ! [X0] :
      ( ~ sQ379_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)) ),
    inference(component_clause,[status(thm)],[f8582]) ).

fof(f8585,plain,
    ( sQ379_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8579,f7936,f8582]) ).

fof(f8586,plain,
    ( sQ379_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f8580,f4709,f8582]) ).

fof(f8588,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f532]) ).

fof(f8589,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f533]) ).

fof(f8590,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f582]) ).

fof(f8591,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f583]) ).

fof(f8592,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f458]) ).

fof(f8593,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f459]) ).

fof(f8594,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3214]) ).

fof(f8595,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3236]) ).

fof(f8596,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2486]) ).

fof(f8597,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2897]) ).

fof(f8598,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2898]) ).

fof(f8599,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2861]) ).

fof(f8600,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2865]) ).

fof(f8601,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3213]) ).

fof(f8602,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3235]) ).

fof(f8603,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2776]) ).

fof(f8604,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f420]) ).

fof(f8605,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f421]) ).

fof(f8606,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3022]) ).

fof(f8607,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3023]) ).

fof(f8608,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2954]) ).

fof(f8609,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2955]) ).

fof(f8610,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2986]) ).

fof(f8611,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2990]) ).

fof(f8612,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3212]) ).

fof(f8613,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3234]) ).

fof(f8614,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2901]) ).

fof(f8615,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f320]) ).

fof(f8616,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f321]) ).

fof(f8617,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f324]) ).

fof(f8618,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f325]) ).

fof(f8623,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3309]) ).

fof(f8624,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3331]) ).

fof(f8625,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3353]) ).

fof(f8626,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5889]) ).

fof(f8627,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5918]) ).

fof(f8628,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6224]) ).

fof(f8629,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6254]) ).

fof(f8630,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3403]) ).

fof(f8631,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3447]) ).

fof(f8632,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f310]) ).

fof(f8633,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3425]) ).

fof(f8634,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3469]) ).

fof(f8635,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f314]) ).

fof(f8636,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f329]) ).

fof(f8637,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f334]) ).

fof(f8639,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f16(X1,a,cx,ct)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3381]) ).

fof(f8640,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f1146]) ).

fof(f8641,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f4387]) ).

fof(f8642,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X1,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3229]) ).

fof(f8643,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f1(ct,f11(X1,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3251]) ).

fof(f8646,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3310]) ).

fof(f8647,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3332]) ).

fof(f8648,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3354]) ).

fof(f8649,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5890]) ).

fof(f8650,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5919]) ).

fof(f8651,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6225]) ).

fof(f8652,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6255]) ).

fof(f8653,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3404]) ).

fof(f8654,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3448]) ).

fof(f8655,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f311]) ).

fof(f8656,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3426]) ).

fof(f8657,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3470]) ).

fof(f8658,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f315]) ).

fof(f8659,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f330]) ).

fof(f8660,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f335]) ).

fof(f8662,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f16(X1,a,cx,ct)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3382]) ).

fof(f8663,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f1147]) ).

fof(f8664,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f4388]) ).

fof(f8665,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3230]) ).

fof(f8666,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f1(ct,f11(X1,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3252]) ).

fof(f8667,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f7082]) ).

fof(f8668,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2451]) ).

fof(f8669,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2452]) ).

fof(f8670,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct)))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f2339]) ).

fof(f8671,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5826]) ).

fof(f8672,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5827]) ).

fof(f8673,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5862]) ).

fof(f8674,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5863]) ).

fof(f8675,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5864]) ).

fof(f8676,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,empty_set)),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f5865]) ).

fof(f8677,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6160]) ).

fof(f8678,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6161]) ).

fof(f8679,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6196]) ).

fof(f8680,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6197]) ).

fof(f8681,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,cx)),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6198]) ).

fof(f8682,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X1,cx)),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6199]) ).

fof(f8683,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X1,a,cx,ct),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3357]) ).

fof(f8684,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,intersection_of_sets(cx,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3473]) ).

fof(f8685,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,intersection_of_sets(cx,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3475]) ).

fof(f8686,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,intersection_of_sets(empty_set,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f3488]) ).

fof(f8687,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,intersection_of_members(ct))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f4364]) ).

fof(f8690,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,f2(ct,X2))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f1159]) ).

fof(f8691,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,intersection_of_members(ct))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f276,f6698]) ).

fof(f8696,plain,
    ( sQ317_spl
    | sQ108_spl ),
    inference(split_clause,[status(thm)],[f8691,f4516,f6885]) ).

fof(f8706,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3214]) ).

fof(f8707,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3236]) ).

fof(f8709,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f278,f2897]) ).

fof(f8710,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct),
    inference(resolution,[status(thm)],[f278,f2898]) ).

fof(f8711,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f2861]) ).

fof(f8712,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f2865]) ).

fof(f8713,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3213]) ).

fof(f8714,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3235]) ).

fof(f8718,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f278,f3022]) ).

fof(f8719,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f278,f3023]) ).

fof(f8720,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f2954]) ).

fof(f8721,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f2955]) ).

fof(f8722,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f2986]) ).

fof(f8723,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f2990]) ).

fof(f8724,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3212]) ).

fof(f8725,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3234]) ).

fof(f8735,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3309]) ).

fof(f8736,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3331]) ).

fof(f8737,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3353]) ).

fof(f8738,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f5889]) ).

fof(f8739,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f5918]) ).

fof(f8740,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f6224]) ).

fof(f8741,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f6254]) ).

fof(f8742,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3403]) ).

fof(f8743,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3447]) ).

fof(f8745,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3425]) ).

fof(f8746,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3469]) ).

fof(f8751,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))),ct) ),
    inference(resolution,[status(thm)],[f278,f3381]) ).

fof(f8752,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f278,f1146]) ).

fof(f8753,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f278,f4387]) ).

fof(f8758,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3310]) ).

fof(f8759,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3332]) ).

fof(f8760,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3354]) ).

fof(f8761,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f5890]) ).

fof(f8762,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f5919]) ).

fof(f8763,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f6225]) ).

fof(f8764,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f6255]) ).

fof(f8765,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3404]) ).

fof(f8766,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3448]) ).

fof(f8768,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3426]) ).

fof(f8769,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f278,f3470]) ).

fof(f8774,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct) ),
    inference(resolution,[status(thm)],[f278,f3382]) ).

fof(f8775,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f278,f1147]) ).

fof(f8776,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f278,f4388]) ).

fof(f8779,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f278,f7082]) ).

fof(f8780,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f278,f2451]) ).

fof(f8781,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct) ),
    inference(resolution,[status(thm)],[f278,f2452]) ).

fof(f8782,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f278,f2339]) ).

fof(f8783,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f5826]) ).

fof(f8784,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f5827]) ).

fof(f8785,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f5862]) ).

fof(f8786,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f5863]) ).

fof(f8789,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f6160]) ).

fof(f8790,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f6161]) ).

fof(f8791,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f278,f6196]) ).

fof(f8792,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f278,f6197]) ).

fof(f8796,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3473]) ).

fof(f8797,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3475]) ).

fof(f8798,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f278,f3488]) ).

fof(f8802,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f278,f1159]) ).

fof(f8803,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f278,f6698]) ).

fof(f8808,plain,
    ( sQ317_spl
    | sQ106_spl ),
    inference(split_clause,[status(thm)],[f8803,f4508,f6885]) ).

fof(f8817,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3214]) ).

fof(f8818,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3236]) ).

fof(f8820,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f277,f2897]) ).

fof(f8821,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct),
    inference(resolution,[status(thm)],[f277,f2898]) ).

fof(f8822,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f2861]) ).

fof(f8823,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f2865]) ).

fof(f8824,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3213]) ).

fof(f8825,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3235]) ).

fof(f8829,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f277,f3022]) ).

fof(f8830,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f277,f3023]) ).

fof(f8831,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f2954]) ).

fof(f8832,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f2955]) ).

fof(f8833,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f2986]) ).

fof(f8834,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f2990]) ).

fof(f8835,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3212]) ).

fof(f8836,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3234]) ).

fof(f8846,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3309]) ).

fof(f8847,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3331]) ).

fof(f8848,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3353]) ).

fof(f8849,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f5889]) ).

fof(f8850,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f5918]) ).

fof(f8851,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f6224]) ).

fof(f8852,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f6254]) ).

fof(f8853,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3403]) ).

fof(f8854,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3447]) ).

fof(f8856,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3425]) ).

fof(f8857,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3469]) ).

fof(f8862,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))),ct) ),
    inference(resolution,[status(thm)],[f277,f3381]) ).

fof(f8863,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f277,f1146]) ).

fof(f8864,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f277,f4387]) ).

fof(f8869,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3310]) ).

fof(f8870,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3332]) ).

fof(f8871,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3354]) ).

fof(f8872,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f5890]) ).

fof(f8873,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f5919]) ).

fof(f8874,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f6225]) ).

fof(f8875,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f6255]) ).

fof(f8876,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3404]) ).

fof(f8877,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3448]) ).

fof(f8879,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3426]) ).

fof(f8880,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))),ct) ),
    inference(resolution,[status(thm)],[f277,f3470]) ).

fof(f8885,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),ct) ),
    inference(resolution,[status(thm)],[f277,f3382]) ).

fof(f8886,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f277,f1147]) ).

fof(f8887,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f277,f4388]) ).

fof(f8890,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f277,f7082]) ).

fof(f8891,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f277,f2451]) ).

fof(f8892,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct) ),
    inference(resolution,[status(thm)],[f277,f2452]) ).

fof(f8893,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f277,f2339]) ).

fof(f8894,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f5826]) ).

fof(f8895,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f5827]) ).

fof(f8896,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f5862]) ).

fof(f8897,plain,
    ! [X0] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f5863]) ).

fof(f8900,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f6160]) ).

fof(f8901,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f6161]) ).

fof(f8902,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f277,f6196]) ).

fof(f8903,plain,
    ! [X0] :
      ( element_of_collection(cx,top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f277,f6197]) ).

fof(f8907,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3473]) ).

fof(f8908,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3475]) ).

fof(f8909,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f277,f3488]) ).

fof(f8913,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f277,f1159]) ).

fof(f8914,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f277,f6698]) ).

fof(f8919,plain,
    ( sQ317_spl
    | sQ107_spl ),
    inference(split_clause,[status(thm)],[f8914,f4512,f6885]) ).

fof(f8921,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f2599,f277]) ).

fof(f8922,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f2599,f278]) ).

fof(f8923,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2599,f276]) ).

fof(f8924,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2599,f3231]) ).

fof(f8925,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2599,f3253]) ).

fof(f8928,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2599,f1148]) ).

fof(f8929,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2599,f4407]) ).

fof(f8932,plain,
    ( sQ152_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8929,f7936,f4856]) ).

fof(f8934,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f2598,f277]) ).

fof(f8935,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f2598,f278]) ).

fof(f8936,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2598,f276]) ).

fof(f8937,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2598,f3231]) ).

fof(f8938,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2598,f3253]) ).

fof(f8941,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2598,f1148]) ).

fof(f8942,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2598,f4407]) ).

fof(f8945,plain,
    ( sQ153_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8942,f7936,f4860]) ).

fof(f8947,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f286,f277]) ).

fof(f8948,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f286,f278]) ).

fof(f8949,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f286,f276]) ).

fof(f8950,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f286,f3231]) ).

fof(f8951,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f286,f3253]) ).

fof(f8954,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f286,f1148]) ).

fof(f8955,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f286,f4407]) ).

fof(f8958,plain,
    ( sQ216_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8955,f7936,f5112]) ).

fof(f8960,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f285,f277]) ).

fof(f8961,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f285,f278]) ).

fof(f8962,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f285,f276]) ).

fof(f8963,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f285,f3231]) ).

fof(f8964,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f285,f3253]) ).

fof(f8967,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f285,f1148]) ).

fof(f8968,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f285,f4407]) ).

fof(f8971,plain,
    ( sQ217_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8968,f7936,f5116]) ).

fof(f8973,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f292,f277]) ).

fof(f8974,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f292,f278]) ).

fof(f8975,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f292,f276]) ).

fof(f8976,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f292,f3231]) ).

fof(f8977,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f292,f3253]) ).

fof(f8980,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f292,f1148]) ).

fof(f8981,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f292,f4407]) ).

fof(f8984,plain,
    ( sQ223_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8981,f7936,f5140]) ).

fof(f8986,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f289,f277]) ).

fof(f8987,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f289,f278]) ).

fof(f8988,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f289,f276]) ).

fof(f8989,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f289,f3231]) ).

fof(f8990,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f289,f3253]) ).

fof(f8993,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f289,f1148]) ).

fof(f8994,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f289,f4407]) ).

fof(f8997,plain,
    ( sQ224_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f8994,f7936,f5144]) ).

fof(f8999,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f293,f277]) ).

fof(f9000,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f293,f278]) ).

fof(f9001,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f293,f276]) ).

fof(f9002,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f293,f3231]) ).

fof(f9003,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f293,f3253]) ).

fof(f9006,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f293,f1148]) ).

fof(f9007,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f293,f4407]) ).

fof(f9010,plain,
    ( sQ253_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f9007,f7936,f5260]) ).

fof(f9012,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f290,f277]) ).

fof(f9013,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f290,f278]) ).

fof(f9014,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f290,f276]) ).

fof(f9015,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f290,f3231]) ).

fof(f9016,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f290,f3253]) ).

fof(f9019,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f290,f1148]) ).

fof(f9020,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f290,f4407]) ).

fof(f9023,plain,
    ( sQ254_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f9020,f7936,f5264]) ).

fof(f9025,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f283,f277]) ).

fof(f9026,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f283,f278]) ).

fof(f9027,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f283,f276]) ).

fof(f9028,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f283,f3231]) ).

fof(f9029,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f283,f3253]) ).

fof(f9032,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f283,f1148]) ).

fof(f9033,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f283,f4407]) ).

fof(f9036,plain,
    ( sQ260_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f9033,f7936,f5288]) ).

fof(f9059,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | ~ subset_sets(intersection_of_sets(cx,f16(X2,a,cx,ct)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,f16(X2,a,cx,ct)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f184,f3634]) ).

fof(f9069,plain,
    ! [X0,X1,X2] :
      ( limit_point(X2,a,cx,ct)
      | ~ subset_sets(intersection_of_sets(empty_set,f16(X2,a,cx,ct)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f16(X2,a,cx,ct)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f184,f3656]) ).

fof(f9108,definition,
    ! [X0,X1,X2] :
      ( sQ380_spl
    <=> ( limit_point(X2,a,cx,ct)
        | ~ subset_sets(intersection_of_sets(cx,f16(X2,a,cx,ct)),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,f16(X2,a,cx,ct)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).

fof(f9109,plain,
    ! [X0,X1,X2] :
      ( ~ sQ380_spl
      | limit_point(X2,a,cx,ct)
      | ~ subset_sets(intersection_of_sets(cx,f16(X2,a,cx,ct)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,f16(X2,a,cx,ct)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f9108]) ).

fof(f9111,plain,
    ( ~ sQ13_spl
    | sQ380_spl ),
    inference(split_clause,[status(thm)],[f9059,f9108,f1367]) ).

fof(f9121,definition,
    ! [X0,X1,X2] :
      ( sQ381_spl
    <=> ( limit_point(X2,a,cx,ct)
        | ~ subset_sets(intersection_of_sets(empty_set,f16(X2,a,cx,ct)),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,f16(X2,a,cx,ct)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).

fof(f9122,plain,
    ! [X0,X1,X2] :
      ( ~ sQ381_spl
      | limit_point(X2,a,cx,ct)
      | ~ subset_sets(intersection_of_sets(empty_set,f16(X2,a,cx,ct)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f16(X2,a,cx,ct)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f9121]) ).

fof(f9124,plain,
    ( ~ sQ13_spl
    | sQ381_spl ),
    inference(split_clause,[status(thm)],[f9069,f9121,f1367]) ).

fof(f9152,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X1,f11(X2,union_of_members(X1))),top_of_basis(X0))
      | element_of_collection(union_of_members(X1),top_of_basis(X2))
      | element_of_set(f11(X0,f1(X1,f11(X2,union_of_members(X1)))),f1(X1,f11(X0,f1(X1,f11(X2,union_of_members(X1)))))) ),
    inference(resolution,[status(thm)],[f113,f2454]) ).

fof(f9156,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(empty_set,cx)),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f113,f2773]) ).

fof(f9157,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(cx,empty_set)),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f113,f2772]) ).

fof(f9158,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(cx,cx)),f1(ct,f11(X0,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f113,f2771]) ).

fof(f9160,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,f11(X0,intersection_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f113,f6680]) ).

fof(f9161,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,f11(X0,intersection_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f113,f4395]) ).

fof(f9163,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X2,union_of_members(X0))),top_of_basis(X1))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),X0) ),
    inference(resolution,[status(thm)],[f114,f2454]) ).

fof(f9175,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f281,f277]) ).

fof(f9176,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f281,f278]) ).

fof(f9177,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f281,f276]) ).

fof(f9178,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f281,f3231]) ).

fof(f9179,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f281,f3253]) ).

fof(f9182,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f281,f1148]) ).

fof(f9183,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f281,f4407]) ).

fof(f9186,plain,
    ( sQ266_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f9183,f7936,f5312]) ).

fof(f9196,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | ~ element_of_set(X0,union_of_members(X2))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f6698]) ).

fof(f9197,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | ~ element_of_set(X0,union_of_members(X2))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f6680]) ).

fof(f9201,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f532]) ).

fof(f9202,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f533]) ).

fof(f9203,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f582]) ).

fof(f9204,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f583]) ).

fof(f9205,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f458]) ).

fof(f9206,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f459]) ).

fof(f9207,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2598]) ).

fof(f9208,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2599]) ).

fof(f9209,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3214]) ).

fof(f9210,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3236]) ).

fof(f9211,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2486]) ).

fof(f9212,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2897]) ).

fof(f9213,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2898]) ).

fof(f9214,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2861]) ).

fof(f9215,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2865]) ).

fof(f9216,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3213]) ).

fof(f9217,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3235]) ).

fof(f9218,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2776]) ).

fof(f9219,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f420]) ).

fof(f9220,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f421]) ).

fof(f9221,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3022]) ).

fof(f9222,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3023]) ).

fof(f9223,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2954]) ).

fof(f9224,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2955]) ).

fof(f9225,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2986]) ).

fof(f9226,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2990]) ).

fof(f9227,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3212]) ).

fof(f9228,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3234]) ).

fof(f9229,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2901]) ).

fof(f9230,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f320]) ).

fof(f9231,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f321]) ).

fof(f9232,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f324]) ).

fof(f9233,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f325]) ).

fof(f9238,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3309]) ).

fof(f9239,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3331]) ).

fof(f9240,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3353]) ).

fof(f9241,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5889]) ).

fof(f9242,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5918]) ).

fof(f9243,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6224]) ).

fof(f9244,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6254]) ).

fof(f9245,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f289]) ).

fof(f9246,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f292]) ).

fof(f9247,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3403]) ).

fof(f9248,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3447]) ).

fof(f9249,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f310]) ).

fof(f9250,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f285]) ).

fof(f9251,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f286]) ).

fof(f9252,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3425]) ).

fof(f9253,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3469]) ).

fof(f9254,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f314]) ).

fof(f9255,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f329]) ).

fof(f9256,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f334]) ).

fof(f9258,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | ~ element_of_set(X0,intersection_of_sets(cx,f16(X1,a,cx,ct)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3381]) ).

fof(f9259,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f1146]) ).

fof(f9260,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f4387]) ).

fof(f9261,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3229]) ).

fof(f9262,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(cx,f1(ct,f11(X1,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3251]) ).

fof(f9265,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3310]) ).

fof(f9266,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3332]) ).

fof(f9267,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3354]) ).

fof(f9268,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5890]) ).

fof(f9269,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5919]) ).

fof(f9270,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6225]) ).

fof(f9271,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6255]) ).

fof(f9272,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f290]) ).

fof(f9273,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f293]) ).

fof(f9274,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3404]) ).

fof(f9275,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3448]) ).

fof(f9276,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f311]) ).

fof(f9277,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f281]) ).

fof(f9278,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f283]) ).

fof(f9279,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3426]) ).

fof(f9280,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3470]) ).

fof(f9281,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f315]) ).

fof(f9282,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f330]) ).

fof(f9283,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f335]) ).

fof(f9285,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f16(X1,a,cx,ct)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3382]) ).

fof(f9286,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f1147]) ).

fof(f9287,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f4388]) ).

fof(f9288,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3230]) ).

fof(f9289,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3252]) ).

fof(f9290,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f7082]) ).

fof(f9291,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2451]) ).

fof(f9292,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2452]) ).

fof(f9293,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct)))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f2339]) ).

fof(f9294,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5826]) ).

fof(f9295,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5827]) ).

fof(f9296,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5862]) ).

fof(f9297,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5863]) ).

fof(f9298,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5864]) ).

fof(f9299,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f5865]) ).

fof(f9300,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6160]) ).

fof(f9301,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6161]) ).

fof(f9302,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6196]) ).

fof(f9303,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6197]) ).

fof(f9304,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6198]) ).

fof(f9305,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | ~ element_of_set(X0,intersection_of_sets(f1(ct,f11(X1,cx)),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f6199]) ).

fof(f9311,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_sets(cx,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3473]) ).

fof(f9312,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3475]) ).

fof(f9313,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f3488]) ).

fof(f9314,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_members(ct))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f116,f4364]) ).

fof(f9317,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(X1,X3),top_of_basis(X2))
      | element_of_set(X3,intersection_of_members(X1))
      | ~ element_of_set(X0,f1(X1,f11(X2,f2(X1,X3))))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f1159]) ).

fof(f9318,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(X1),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | ~ element_of_set(X0,f1(X1,f11(X2,intersection_of_members(X1))))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f6698]) ).

fof(f9319,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | ~ element_of_set(X0,f1(X1,f11(X2,intersection_of_members(X1))))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f4399]) ).

fof(f9324,plain,
    ! [X0] :
      ( ~ element_of_set(X0,empty_set)
      | ~ topological_space(cx,ct)
      | neighborhood(empty_set,X0,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3159]) ).

fof(f9325,plain,
    ! [X0] :
      ( ~ element_of_set(X0,cx)
      | ~ topological_space(cx,ct)
      | neighborhood(cx,X0,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3160]) ).

fof(f9326,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,f2(ct,X0))
      | ~ topological_space(cx,ct)
      | neighborhood(f2(ct,X0),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3038]) ).

fof(f9327,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3048]) ).

fof(f9328,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3049]) ).

fof(f9329,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3054]) ).

fof(f9330,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3055]) ).

fof(f9331,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3066]) ).

fof(f9332,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3067]) ).

fof(f9333,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3291]) ).

fof(f9334,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3313]) ).

fof(f9335,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3076]) ).

fof(f9336,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3077]) ).

fof(f9337,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3335]) ).

fof(f9338,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3085]) ).

fof(f9339,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3086]) ).

fof(f9340,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3089]) ).

fof(f9341,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3090]) ).

fof(f9342,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3091]) ).

fof(f9343,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3092]) ).

fof(f9344,plain,
    ! [X0,X1] :
      ( limit_point(X0,a,cx,ct)
      | ~ element_of_set(X1,intersection_of_sets(cx,f16(X0,a,cx,ct)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,f16(X0,a,cx,ct)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3634]) ).

fof(f9345,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3107]) ).

fof(f9346,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3108]) ).

fof(f9347,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3115]) ).

fof(f9348,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3122]) ).

fof(f9349,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3124]) ).

fof(f9350,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3125]) ).

fof(f9351,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3123]) ).

fof(f9352,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3385]) ).

fof(f9353,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3429]) ).

fof(f9354,plain,
    ! [X0,X1] :
      ( limit_point(X0,a,cx,ct)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,f16(X0,a,cx,ct)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3656]) ).

fof(f9355,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3141]) ).

fof(f9356,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3142]) ).

fof(f9357,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3149]) ).

fof(f9358,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3155]) ).

fof(f9359,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3157]) ).

fof(f9360,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3158]) ).

fof(f9361,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3127]) ).

fof(f9362,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3407]) ).

fof(f9363,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3451]) ).

fof(f9364,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f5871]) ).

fof(f9365,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f5900]) ).

fof(f9366,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f6206]) ).

fof(f9367,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f6236]) ).

fof(f9368,plain,
    ! [X0,X1] :
      ( limit_point(X0,a,cx,ct)
      | ~ element_of_set(X1,f16(X0,a,cx,ct))
      | ~ topological_space(cx,ct)
      | neighborhood(f16(X0,a,cx,ct),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3024]) ).

fof(f9369,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,intersection_of_members(ct))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f4369]) ).

fof(f9370,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3037]) ).

fof(f9371,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3233]) ).

fof(f9372,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f201,f3211]) ).

fof(f9373,definition,
    ! [X0] :
      ( sQ382_spl
    <=> ( ~ element_of_set(X0,empty_set)
        | neighborhood(empty_set,X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).

fof(f9374,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ element_of_set(X0,empty_set)
      | neighborhood(empty_set,X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f9373]) ).

fof(f9376,plain,
    ( ~ sQ13_spl
    | sQ382_spl ),
    inference(split_clause,[status(thm)],[f9324,f9373,f1367]) ).

fof(f9377,definition,
    ! [X0] :
      ( sQ383_spl
    <=> ( ~ element_of_set(X0,cx)
        | neighborhood(cx,X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).

fof(f9378,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ element_of_set(X0,cx)
      | neighborhood(cx,X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f9377]) ).

fof(f9380,plain,
    ( ~ sQ13_spl
    | sQ383_spl ),
    inference(split_clause,[status(thm)],[f9325,f9377,f1367]) ).

fof(f9381,definition,
    ! [X0,X1] :
      ( sQ384_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,f2(ct,X0))
        | neighborhood(f2(ct,X0),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).

fof(f9382,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,f2(ct,X0))
      | neighborhood(f2(ct,X0),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9381]) ).

fof(f9384,plain,
    ( ~ sQ13_spl
    | sQ384_spl ),
    inference(split_clause,[status(thm)],[f9326,f9381,f1367]) ).

fof(f9385,definition,
    ! [X0,X1] :
      ( sQ385_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).

fof(f9386,plain,
    ! [X0,X1] :
      ( ~ sQ385_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9385]) ).

fof(f9388,plain,
    ( ~ sQ13_spl
    | sQ385_spl ),
    inference(split_clause,[status(thm)],[f9327,f9385,f1367]) ).

fof(f9389,definition,
    ! [X0,X1] :
      ( sQ386_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).

fof(f9390,plain,
    ! [X0,X1] :
      ( ~ sQ386_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9389]) ).

fof(f9392,plain,
    ( ~ sQ13_spl
    | sQ386_spl ),
    inference(split_clause,[status(thm)],[f9328,f9389,f1367]) ).

fof(f9393,definition,
    ! [X0,X1] :
      ( sQ387_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).

fof(f9394,plain,
    ! [X0,X1] :
      ( ~ sQ387_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9393]) ).

fof(f9396,plain,
    ( ~ sQ13_spl
    | sQ387_spl ),
    inference(split_clause,[status(thm)],[f9329,f9393,f1367]) ).

fof(f9397,definition,
    ! [X0,X1] :
      ( sQ388_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).

fof(f9398,plain,
    ! [X0,X1] :
      ( ~ sQ388_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9397]) ).

fof(f9400,plain,
    ( ~ sQ13_spl
    | sQ388_spl ),
    inference(split_clause,[status(thm)],[f9330,f9397,f1367]) ).

fof(f9401,definition,
    ! [X0,X1] :
      ( sQ389_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).

fof(f9402,plain,
    ! [X0,X1] :
      ( ~ sQ389_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9401]) ).

fof(f9404,plain,
    ( ~ sQ13_spl
    | sQ389_spl ),
    inference(split_clause,[status(thm)],[f9331,f9401,f1367]) ).

fof(f9405,definition,
    ! [X0,X1] :
      ( sQ390_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).

fof(f9406,plain,
    ! [X0,X1] :
      ( ~ sQ390_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9405]) ).

fof(f9408,plain,
    ( ~ sQ13_spl
    | sQ390_spl ),
    inference(split_clause,[status(thm)],[f9332,f9405,f1367]) ).

fof(f9409,definition,
    ! [X0,X1] :
      ( sQ391_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).

fof(f9410,plain,
    ! [X0,X1] :
      ( ~ sQ391_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9409]) ).

fof(f9412,plain,
    ( ~ sQ13_spl
    | sQ391_spl ),
    inference(split_clause,[status(thm)],[f9333,f9409,f1367]) ).

fof(f9413,definition,
    ! [X0,X1] :
      ( sQ392_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).

fof(f9414,plain,
    ! [X0,X1] :
      ( ~ sQ392_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9413]) ).

fof(f9416,plain,
    ( ~ sQ13_spl
    | sQ392_spl ),
    inference(split_clause,[status(thm)],[f9334,f9413,f1367]) ).

fof(f9417,definition,
    ! [X0,X1] :
      ( sQ393_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).

fof(f9418,plain,
    ! [X0,X1] :
      ( ~ sQ393_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9417]) ).

fof(f9420,plain,
    ( ~ sQ13_spl
    | sQ393_spl ),
    inference(split_clause,[status(thm)],[f9335,f9417,f1367]) ).

fof(f9421,definition,
    ! [X0,X1] :
      ( sQ394_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).

fof(f9422,plain,
    ! [X0,X1] :
      ( ~ sQ394_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9421]) ).

fof(f9424,plain,
    ( ~ sQ13_spl
    | sQ394_spl ),
    inference(split_clause,[status(thm)],[f9336,f9421,f1367]) ).

fof(f9425,definition,
    ! [X0,X1] :
      ( sQ395_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).

fof(f9426,plain,
    ! [X0,X1] :
      ( ~ sQ395_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9425]) ).

fof(f9428,plain,
    ( ~ sQ13_spl
    | sQ395_spl ),
    inference(split_clause,[status(thm)],[f9337,f9425,f1367]) ).

fof(f9429,definition,
    ! [X0,X1] :
      ( sQ396_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).

fof(f9430,plain,
    ! [X0,X1] :
      ( ~ sQ396_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9429]) ).

fof(f9432,plain,
    ( ~ sQ13_spl
    | sQ396_spl ),
    inference(split_clause,[status(thm)],[f9338,f9429,f1367]) ).

fof(f9433,definition,
    ! [X0,X1] :
      ( sQ397_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).

fof(f9434,plain,
    ! [X0,X1] :
      ( ~ sQ397_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9433]) ).

fof(f9436,plain,
    ( ~ sQ13_spl
    | sQ397_spl ),
    inference(split_clause,[status(thm)],[f9339,f9433,f1367]) ).

fof(f9437,definition,
    ! [X0,X1] :
      ( sQ398_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).

fof(f9438,plain,
    ! [X0,X1] :
      ( ~ sQ398_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9437]) ).

fof(f9440,plain,
    ( ~ sQ13_spl
    | sQ398_spl ),
    inference(split_clause,[status(thm)],[f9340,f9437,f1367]) ).

fof(f9441,definition,
    ! [X0,X1] :
      ( sQ399_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).

fof(f9442,plain,
    ! [X0,X1] :
      ( ~ sQ399_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9441]) ).

fof(f9444,plain,
    ( ~ sQ13_spl
    | sQ399_spl ),
    inference(split_clause,[status(thm)],[f9341,f9441,f1367]) ).

fof(f9445,definition,
    ! [X0,X1] :
      ( sQ400_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
        | neighborhood(intersection_of_sets(f2(ct,X0),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).

fof(f9446,plain,
    ! [X0,X1] :
      ( ~ sQ400_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
      | neighborhood(intersection_of_sets(f2(ct,X0),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9445]) ).

fof(f9448,plain,
    ( ~ sQ13_spl
    | sQ400_spl ),
    inference(split_clause,[status(thm)],[f9342,f9445,f1367]) ).

fof(f9449,definition,
    ! [X0,X1] :
      ( sQ401_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
        | neighborhood(intersection_of_sets(f2(ct,X0),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).

fof(f9450,plain,
    ! [X0,X1] :
      ( ~ sQ401_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
      | neighborhood(intersection_of_sets(f2(ct,X0),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9449]) ).

fof(f9452,plain,
    ( ~ sQ13_spl
    | sQ401_spl ),
    inference(split_clause,[status(thm)],[f9343,f9449,f1367]) ).

fof(f9453,definition,
    ! [X0,X1] :
      ( sQ402_spl
    <=> ( limit_point(X0,a,cx,ct)
        | ~ element_of_set(X1,intersection_of_sets(cx,f16(X0,a,cx,ct)))
        | neighborhood(intersection_of_sets(cx,f16(X0,a,cx,ct)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).

fof(f9454,plain,
    ! [X0,X1] :
      ( ~ sQ402_spl
      | limit_point(X0,a,cx,ct)
      | ~ element_of_set(X1,intersection_of_sets(cx,f16(X0,a,cx,ct)))
      | neighborhood(intersection_of_sets(cx,f16(X0,a,cx,ct)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9453]) ).

fof(f9456,plain,
    ( ~ sQ13_spl
    | sQ402_spl ),
    inference(split_clause,[status(thm)],[f9344,f9453,f1367]) ).

fof(f9457,definition,
    ! [X0,X1] :
      ( sQ403_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).

fof(f9458,plain,
    ! [X0,X1] :
      ( ~ sQ403_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9457]) ).

fof(f9460,plain,
    ( ~ sQ13_spl
    | sQ403_spl ),
    inference(split_clause,[status(thm)],[f9345,f9457,f1367]) ).

fof(f9461,definition,
    ! [X0,X1] :
      ( sQ404_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).

fof(f9462,plain,
    ! [X0,X1] :
      ( ~ sQ404_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9461]) ).

fof(f9464,plain,
    ( ~ sQ13_spl
    | sQ404_spl ),
    inference(split_clause,[status(thm)],[f9346,f9461,f1367]) ).

fof(f9465,definition,
    ! [X0,X1] :
      ( sQ405_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).

fof(f9466,plain,
    ! [X0,X1] :
      ( ~ sQ405_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9465]) ).

fof(f9468,plain,
    ( ~ sQ13_spl
    | sQ405_spl ),
    inference(split_clause,[status(thm)],[f9347,f9465,f1367]) ).

fof(f9469,definition,
    ! [X0,X1] :
      ( sQ406_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).

fof(f9470,plain,
    ! [X0,X1] :
      ( ~ sQ406_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9469]) ).

fof(f9472,plain,
    ( ~ sQ13_spl
    | sQ406_spl ),
    inference(split_clause,[status(thm)],[f9348,f9469,f1367]) ).

fof(f9473,definition,
    ! [X0] :
      ( sQ407_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,cx))
        | neighborhood(intersection_of_sets(cx,cx),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).

fof(f9474,plain,
    ! [X0] :
      ( ~ sQ407_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | neighborhood(intersection_of_sets(cx,cx),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f9473]) ).

fof(f9476,plain,
    ( ~ sQ13_spl
    | sQ407_spl ),
    inference(split_clause,[status(thm)],[f9349,f9473,f1367]) ).

fof(f9477,definition,
    ! [X0] :
      ( sQ408_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
        | neighborhood(intersection_of_sets(cx,empty_set),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).

fof(f9478,plain,
    ! [X0] :
      ( ~ sQ408_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | neighborhood(intersection_of_sets(cx,empty_set),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f9477]) ).

fof(f9480,plain,
    ( ~ sQ13_spl
    | sQ408_spl ),
    inference(split_clause,[status(thm)],[f9350,f9477,f1367]) ).

fof(f9481,definition,
    ! [X0,X1] :
      ( sQ409_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
        | neighborhood(intersection_of_sets(cx,f2(ct,X0)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).

fof(f9482,plain,
    ! [X0,X1] :
      ( ~ sQ409_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
      | neighborhood(intersection_of_sets(cx,f2(ct,X0)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9481]) ).

fof(f9484,plain,
    ( ~ sQ13_spl
    | sQ409_spl ),
    inference(split_clause,[status(thm)],[f9351,f9481,f1367]) ).

fof(f9485,definition,
    ! [X0,X1] :
      ( sQ410_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
        | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).

fof(f9486,plain,
    ! [X0,X1] :
      ( ~ sQ410_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,empty_set))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9485]) ).

fof(f9488,plain,
    ( ~ sQ13_spl
    | sQ410_spl ),
    inference(split_clause,[status(thm)],[f9352,f9485,f1367]) ).

fof(f9489,definition,
    ! [X0,X1] :
      ( sQ411_spl
    <=> ( element_of_collection(cx,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
        | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).

fof(f9490,plain,
    ! [X0,X1] :
      ( ~ sQ411_spl
      | element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,cx))))
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,cx))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9489]) ).

fof(f9492,plain,
    ( ~ sQ13_spl
    | sQ411_spl ),
    inference(split_clause,[status(thm)],[f9353,f9489,f1367]) ).

fof(f9493,definition,
    ! [X0,X1] :
      ( sQ412_spl
    <=> ( limit_point(X0,a,cx,ct)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))
        | neighborhood(intersection_of_sets(empty_set,f16(X0,a,cx,ct)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).

fof(f9494,plain,
    ! [X0,X1] :
      ( ~ sQ412_spl
      | limit_point(X0,a,cx,ct)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))
      | neighborhood(intersection_of_sets(empty_set,f16(X0,a,cx,ct)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9493]) ).

fof(f9496,plain,
    ( ~ sQ13_spl
    | sQ412_spl ),
    inference(split_clause,[status(thm)],[f9354,f9493,f1367]) ).

fof(f9497,definition,
    ! [X0,X1] :
      ( sQ413_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).

fof(f9498,plain,
    ! [X0,X1] :
      ( ~ sQ413_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9497]) ).

fof(f9500,plain,
    ( ~ sQ13_spl
    | sQ413_spl ),
    inference(split_clause,[status(thm)],[f9355,f9497,f1367]) ).

fof(f9501,definition,
    ! [X0,X1] :
      ( sQ414_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).

fof(f9502,plain,
    ! [X0,X1] :
      ( ~ sQ414_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9501]) ).

fof(f9504,plain,
    ( ~ sQ13_spl
    | sQ414_spl ),
    inference(split_clause,[status(thm)],[f9356,f9501,f1367]) ).

fof(f9505,definition,
    ! [X0,X1] :
      ( sQ415_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).

fof(f9506,plain,
    ! [X0,X1] :
      ( ~ sQ415_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9505]) ).

fof(f9508,plain,
    ( ~ sQ13_spl
    | sQ415_spl ),
    inference(split_clause,[status(thm)],[f9357,f9505,f1367]) ).

fof(f9509,definition,
    ! [X0,X1] :
      ( sQ416_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).

fof(f9510,plain,
    ! [X0,X1] :
      ( ~ sQ416_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9509]) ).

fof(f9512,plain,
    ( ~ sQ13_spl
    | sQ416_spl ),
    inference(split_clause,[status(thm)],[f9358,f9509,f1367]) ).

fof(f9513,definition,
    ! [X0] :
      ( sQ417_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
        | neighborhood(intersection_of_sets(empty_set,cx),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).

fof(f9514,plain,
    ! [X0] :
      ( ~ sQ417_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | neighborhood(intersection_of_sets(empty_set,cx),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f9513]) ).

fof(f9516,plain,
    ( ~ sQ13_spl
    | sQ417_spl ),
    inference(split_clause,[status(thm)],[f9359,f9513,f1367]) ).

fof(f9517,definition,
    ! [X0] :
      ( sQ418_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
        | neighborhood(intersection_of_sets(empty_set,empty_set),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).

fof(f9518,plain,
    ! [X0] :
      ( ~ sQ418_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | neighborhood(intersection_of_sets(empty_set,empty_set),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f9517]) ).

fof(f9520,plain,
    ( ~ sQ13_spl
    | sQ418_spl ),
    inference(split_clause,[status(thm)],[f9360,f9517,f1367]) ).

fof(f9521,definition,
    ! [X0,X1] :
      ( sQ419_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
        | neighborhood(intersection_of_sets(empty_set,f2(ct,X0)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).

fof(f9522,plain,
    ! [X0,X1] :
      ( ~ sQ419_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
      | neighborhood(intersection_of_sets(empty_set,f2(ct,X0)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9521]) ).

fof(f9524,plain,
    ( ~ sQ13_spl
    | sQ419_spl ),
    inference(split_clause,[status(thm)],[f9361,f9521,f1367]) ).

fof(f9525,definition,
    ! [X0,X1] :
      ( sQ420_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
        | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).

fof(f9526,plain,
    ! [X0,X1] :
      ( ~ sQ420_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9525]) ).

fof(f9528,plain,
    ( ~ sQ13_spl
    | sQ420_spl ),
    inference(split_clause,[status(thm)],[f9362,f9525,f1367]) ).

fof(f9529,definition,
    ! [X0,X1] :
      ( sQ421_spl
    <=> ( element_of_collection(cx,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
        | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).

fof(f9530,plain,
    ! [X0,X1] :
      ( ~ sQ421_spl
      | element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,cx))))
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,cx))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9529]) ).

fof(f9532,plain,
    ( ~ sQ13_spl
    | sQ421_spl ),
    inference(split_clause,[status(thm)],[f9363,f9529,f1367]) ).

fof(f9533,definition,
    ! [X0,X1] :
      ( sQ422_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
        | neighborhood(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).

fof(f9534,plain,
    ! [X0,X1] :
      ( ~ sQ422_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9533]) ).

fof(f9536,plain,
    ( ~ sQ13_spl
    | sQ422_spl ),
    inference(split_clause,[status(thm)],[f9364,f9533,f1367]) ).

fof(f9537,definition,
    ! [X0,X1] :
      ( sQ423_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
        | neighborhood(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).

fof(f9538,plain,
    ! [X0,X1] :
      ( ~ sQ423_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,empty_set)),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9537]) ).

fof(f9540,plain,
    ( ~ sQ13_spl
    | sQ423_spl ),
    inference(split_clause,[status(thm)],[f9365,f9537,f1367]) ).

fof(f9541,definition,
    ! [X0,X1] :
      ( sQ424_spl
    <=> ( element_of_collection(cx,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
        | neighborhood(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).

fof(f9542,plain,
    ! [X0,X1] :
      ( ~ sQ424_spl
      | element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),empty_set))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,cx)),empty_set),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9541]) ).

fof(f9544,plain,
    ( ~ sQ13_spl
    | sQ424_spl ),
    inference(split_clause,[status(thm)],[f9366,f9541,f1367]) ).

fof(f9545,definition,
    ! [X0,X1] :
      ( sQ425_spl
    <=> ( element_of_collection(cx,top_of_basis(X0))
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
        | neighborhood(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).

fof(f9546,plain,
    ! [X0,X1] :
      ( ~ sQ425_spl
      | element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,cx)),cx))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,cx)),cx),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9545]) ).

fof(f9548,plain,
    ( ~ sQ13_spl
    | sQ425_spl ),
    inference(split_clause,[status(thm)],[f9367,f9545,f1367]) ).

fof(f9549,definition,
    ! [X0,X1] :
      ( sQ426_spl
    <=> ( limit_point(X0,a,cx,ct)
        | ~ element_of_set(X1,f16(X0,a,cx,ct))
        | neighborhood(f16(X0,a,cx,ct),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).

fof(f9550,plain,
    ! [X0,X1] :
      ( ~ sQ426_spl
      | limit_point(X0,a,cx,ct)
      | ~ element_of_set(X1,f16(X0,a,cx,ct))
      | neighborhood(f16(X0,a,cx,ct),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9549]) ).

fof(f9552,plain,
    ( ~ sQ13_spl
    | sQ426_spl ),
    inference(split_clause,[status(thm)],[f9368,f9549,f1367]) ).

fof(f9553,definition,
    ! [X0,X1] :
      ( sQ427_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
        | neighborhood(f1(ct,f11(X0,intersection_of_members(ct))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).

fof(f9554,plain,
    ! [X0,X1] :
      ( ~ sQ427_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_members(ct))))
      | neighborhood(f1(ct,f11(X0,intersection_of_members(ct))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9553]) ).

fof(f9556,plain,
    ( ~ sQ13_spl
    | sQ427_spl ),
    inference(split_clause,[status(thm)],[f9369,f9553,f1367]) ).

fof(f9557,definition,
    ! [X0,X1] :
      ( sQ428_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X0))
        | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
        | neighborhood(f1(ct,f11(X0,union_of_members(ct))),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).

fof(f9558,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,union_of_members(ct))))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9557]) ).

fof(f9560,plain,
    ( ~ sQ13_spl
    | sQ428_spl ),
    inference(split_clause,[status(thm)],[f9370,f9557,f1367]) ).

fof(f9561,definition,
    ! [X0,X1] :
      ( sQ429_spl
    <=> ( element_of_collection(cx,top_of_basis(X0))
        | ~ element_of_set(X1,f1(ct,f11(X0,cx)))
        | neighborhood(f1(ct,f11(X0,cx)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).

fof(f9562,plain,
    ! [X0,X1] :
      ( ~ sQ429_spl
      | element_of_collection(cx,top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,cx)))
      | neighborhood(f1(ct,f11(X0,cx)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9561]) ).

fof(f9564,plain,
    ( ~ sQ13_spl
    | sQ429_spl ),
    inference(split_clause,[status(thm)],[f9371,f9561,f1367]) ).

fof(f9565,definition,
    ! [X0,X1] :
      ( sQ430_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X0))
        | ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
        | neighborhood(f1(ct,f11(X0,empty_set)),X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).

fof(f9566,plain,
    ! [X0,X1] :
      ( ~ sQ430_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
      | neighborhood(f1(ct,f11(X0,empty_set)),X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f9565]) ).

fof(f9568,plain,
    ( ~ sQ13_spl
    | sQ430_spl ),
    inference(split_clause,[status(thm)],[f9372,f9565,f1367]) ).

fof(f9569,plain,
    ! [X0,X1,X2,X3] :
      ( ~ disjoint_s(X2,X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f224,f195]) ).

fof(f9570,plain,
    ! [X0] :
      ( limit_point(f20(cx,ct),a,cx,ct)
      | ~ disjoint_s(X0,f16(f20(cx,ct),a,cx,ct))
      | ~ neighborhood(X0,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f9569,f1361]) ).

fof(f9571,definition,
    ! [X0] :
      ( sQ431_spl
    <=> ( ~ disjoint_s(X0,f16(f20(cx,ct),a,cx,ct))
        | ~ neighborhood(X0,f19(cx,ct),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).

fof(f9572,plain,
    ! [X0] :
      ( ~ sQ431_spl
      | ~ disjoint_s(X0,f16(f20(cx,ct),a,cx,ct))
      | ~ neighborhood(X0,f19(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f9571]) ).

fof(f9574,definition,
    ( sQ432_spl
  <=> limit_point(f20(cx,ct),a,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).

fof(f9575,plain,
    ( ~ sQ432_spl
    | limit_point(f20(cx,ct),a,cx,ct) ),
    inference(component_clause,[status(thm)],[f9574]) ).

fof(f9577,plain,
    ( sQ432_spl
    | sQ431_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f9570,f1093,f9571,f9574]) ).

fof(f9578,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f11(X1,intersection_of_members(ct)),cx,ct) ),
    inference(resolution,[status(thm)],[f9382,f4076]) ).

fof(f9579,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f11(X1,f2(ct,X0)),cx,ct) ),
    inference(resolution,[status(thm)],[f9382,f165]) ).

fof(f9580,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f11(X1,intersection_of_members(ct)),cx,ct) ),
    inference(duplicate_literals_removal,[status(thm)],[f9578]) ).

fof(f9581,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f277]) ).

fof(f9582,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f278]) ).

fof(f9583,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f276]) ).

fof(f9584,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f3231]) ).

fof(f9585,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f3253]) ).

fof(f9586,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f3035]) ).

fof(f9587,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f308]) ).

fof(f9588,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f1148]) ).

fof(f9589,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f116]) ).

fof(f9590,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f4407]) ).

fof(f9592,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2830,f3199]) ).

fof(f9593,plain,
    ( sQ369_spl
    | sQ274_spl ),
    inference(split_clause,[status(thm)],[f9590,f5442,f7936]) ).

fof(f9595,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f277]) ).

fof(f9596,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f278]) ).

fof(f9597,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f276]) ).

fof(f9598,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f3231]) ).

fof(f9599,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f3253]) ).

fof(f9600,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f3035]) ).

fof(f9601,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f308]) ).

fof(f9602,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f1148]) ).

fof(f9603,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f116]) ).

fof(f9604,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f4407]) ).

fof(f9606,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2829,f3199]) ).

fof(f9607,plain,
    ( sQ369_spl
    | sQ273_spl ),
    inference(split_clause,[status(thm)],[f9604,f5414,f7936]) ).

fof(f9609,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f277]) ).

fof(f9610,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f278]) ).

fof(f9611,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f276]) ).

fof(f9612,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f3231]) ).

fof(f9613,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f3253]) ).

fof(f9614,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f3035]) ).

fof(f9615,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f308]) ).

fof(f9616,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f1148]) ).

fof(f9617,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f116]) ).

fof(f9618,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f4407]) ).

fof(f9620,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2766,f3199]) ).

fof(f9621,plain,
    ( sQ369_spl
    | sQ272_spl ),
    inference(split_clause,[status(thm)],[f9618,f5386,f7936]) ).

fof(f9623,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f277]) ).

fof(f9624,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f278]) ).

fof(f9625,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f276]) ).

fof(f9626,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f3231]) ).

fof(f9627,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f3253]) ).

fof(f9628,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f3035]) ).

fof(f9629,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f308]) ).

fof(f9630,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f1148]) ).

fof(f9631,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f116]) ).

fof(f9632,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f4407]) ).

fof(f9634,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2747,f3199]) ).

fof(f9635,plain,
    ( sQ369_spl
    | sQ271_spl ),
    inference(split_clause,[status(thm)],[f9632,f5358,f7936]) ).

fof(f9637,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f277]) ).

fof(f9638,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f278]) ).

fof(f9639,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f276]) ).

fof(f9640,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f3231]) ).

fof(f9641,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f3253]) ).

fof(f9642,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f3035]) ).

fof(f9643,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f308]) ).

fof(f9644,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f1148]) ).

fof(f9645,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f116]) ).

fof(f9646,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f4407]) ).

fof(f9648,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2728,f3199]) ).

fof(f9649,plain,
    ( sQ369_spl
    | sQ180_spl ),
    inference(split_clause,[status(thm)],[f9646,f4968,f7936]) ).

fof(f9651,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f277]) ).

fof(f9652,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f278]) ).

fof(f9653,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f276]) ).

fof(f9654,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f3231]) ).

fof(f9655,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f3253]) ).

fof(f9656,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f3035]) ).

fof(f9657,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f308]) ).

fof(f9658,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f1148]) ).

fof(f9659,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f116]) ).

fof(f9660,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f4407]) ).

fof(f9662,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2709,f3199]) ).

fof(f9663,plain,
    ( sQ369_spl
    | sQ189_spl ),
    inference(split_clause,[status(thm)],[f9660,f5004,f7936]) ).

fof(f9665,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f277]) ).

fof(f9666,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f278]) ).

fof(f9667,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f276]) ).

fof(f9668,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f3231]) ).

fof(f9669,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f3253]) ).

fof(f9670,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f3035]) ).

fof(f9671,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f308]) ).

fof(f9672,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f1148]) ).

fof(f9673,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f116]) ).

fof(f9674,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f4407]) ).

fof(f9676,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2690,f3199]) ).

fof(f9677,plain,
    ( sQ369_spl
    | sQ181_spl ),
    inference(split_clause,[status(thm)],[f9674,f4972,f7936]) ).

fof(f9679,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f277]) ).

fof(f9680,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f278]) ).

fof(f9681,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f276]) ).

fof(f9682,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f3231]) ).

fof(f9683,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f3253]) ).

fof(f9684,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f3035]) ).

fof(f9685,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f308]) ).

fof(f9686,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f1148]) ).

fof(f9687,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f116]) ).

fof(f9688,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f4407]) ).

fof(f9690,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2671,f3199]) ).

fof(f9691,plain,
    ( sQ369_spl
    | sQ190_spl ),
    inference(split_clause,[status(thm)],[f9688,f5008,f7936]) ).

fof(f9693,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f277]) ).

fof(f9694,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f278]) ).

fof(f9695,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f276]) ).

fof(f9696,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f3231]) ).

fof(f9697,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f3253]) ).

fof(f9698,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f3035]) ).

fof(f9699,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f308]) ).

fof(f9700,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f1148]) ).

fof(f9701,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f116]) ).

fof(f9702,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f4407]) ).

fof(f9704,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2652,f3199]) ).

fof(f9705,plain,
    ( sQ369_spl
    | sQ187_spl ),
    inference(split_clause,[status(thm)],[f9702,f4996,f7936]) ).

fof(f9707,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f277]) ).

fof(f9708,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f278]) ).

fof(f9709,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f276]) ).

fof(f9710,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f3231]) ).

fof(f9711,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f3253]) ).

fof(f9712,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f3035]) ).

fof(f9713,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f308]) ).

fof(f9714,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f1148]) ).

fof(f9715,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f116]) ).

fof(f9716,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f4407]) ).

fof(f9718,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2633,f3199]) ).

fof(f9719,plain,
    ( sQ369_spl
    | sQ188_spl ),
    inference(split_clause,[status(thm)],[f9716,f5000,f7936]) ).

fof(f9721,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f277]) ).

fof(f9722,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f278]) ).

fof(f9723,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f276]) ).

fof(f9724,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f3231]) ).

fof(f9725,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f3253]) ).

fof(f9726,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f3035]) ).

fof(f9727,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f308]) ).

fof(f9728,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f1148]) ).

fof(f9729,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f116]) ).

fof(f9730,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f4407]) ).

fof(f9732,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2614,f3199]) ).

fof(f9733,plain,
    ( sQ369_spl
    | sQ182_spl ),
    inference(split_clause,[status(thm)],[f9730,f4976,f7936]) ).

fof(f9735,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f277]) ).

fof(f9736,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f278]) ).

fof(f9737,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f276]) ).

fof(f9738,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f3231]) ).

fof(f9739,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f3253]) ).

fof(f9740,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f3035]) ).

fof(f9741,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f308]) ).

fof(f9742,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f1148]) ).

fof(f9743,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f116]) ).

fof(f9744,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f4407]) ).

fof(f9746,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2569,f3199]) ).

fof(f9747,plain,
    ( sQ369_spl
    | sQ147_spl ),
    inference(split_clause,[status(thm)],[f9744,f4836,f7936]) ).

fof(f9749,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f277]) ).

fof(f9750,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f278]) ).

fof(f9751,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f276]) ).

fof(f9752,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f3231]) ).

fof(f9753,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f3253]) ).

fof(f9754,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f3035]) ).

fof(f9755,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f308]) ).

fof(f9756,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f1148]) ).

fof(f9757,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f116]) ).

fof(f9758,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f4407]) ).

fof(f9760,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2565,f3199]) ).

fof(f9761,plain,
    ( sQ369_spl
    | sQ148_spl ),
    inference(split_clause,[status(thm)],[f9758,f4840,f7936]) ).

fof(f9763,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f277]) ).

fof(f9764,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f278]) ).

fof(f9765,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f276]) ).

fof(f9766,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f3231]) ).

fof(f9767,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f3253]) ).

fof(f9768,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f3035]) ).

fof(f9769,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f308]) ).

fof(f9770,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f1148]) ).

fof(f9771,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f116]) ).

fof(f9772,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f4407]) ).

fof(f9774,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2538,f3199]) ).

fof(f9775,plain,
    ( sQ369_spl
    | sQ149_spl ),
    inference(split_clause,[status(thm)],[f9772,f4844,f7936]) ).

fof(f9777,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f277]) ).

fof(f9778,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f278]) ).

fof(f9779,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f276]) ).

fof(f9780,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f3231]) ).

fof(f9781,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f3253]) ).

fof(f9782,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f3035]) ).

fof(f9783,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f308]) ).

fof(f9784,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f1148]) ).

fof(f9785,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f116]) ).

fof(f9786,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f4407]) ).

fof(f9788,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2537,f3199]) ).

fof(f9789,plain,
    ( sQ369_spl
    | sQ150_spl ),
    inference(split_clause,[status(thm)],[f9786,f4848,f7936]) ).

fof(f9791,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f277]) ).

fof(f9792,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f278]) ).

fof(f9793,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f276]) ).

fof(f9794,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f3231]) ).

fof(f9795,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f3253]) ).

fof(f9796,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f3035]) ).

fof(f9797,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f308]) ).

fof(f9798,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f1148]) ).

fof(f9799,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f116]) ).

fof(f9800,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f4407]) ).

fof(f9802,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2300,f3199]) ).

fof(f9803,plain,
    ( sQ369_spl
    | sQ128_spl ),
    inference(split_clause,[status(thm)],[f9800,f4760,f7936]) ).

fof(f9805,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f277]) ).

fof(f9806,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f278]) ).

fof(f9807,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f276]) ).

fof(f9808,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f3231]) ).

fof(f9809,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f3253]) ).

fof(f9810,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f3035]) ).

fof(f9811,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f308]) ).

fof(f9812,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f1148]) ).

fof(f9813,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f116]) ).

fof(f9814,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f4407]) ).

fof(f9816,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2299,f3199]) ).

fof(f9817,plain,
    ( sQ369_spl
    | sQ129_spl ),
    inference(split_clause,[status(thm)],[f9814,f4764,f7936]) ).

fof(f9819,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f277]) ).

fof(f9820,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f278]) ).

fof(f9821,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f276]) ).

fof(f9822,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f3231]) ).

fof(f9823,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f3253]) ).

fof(f9824,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f3035]) ).

fof(f9825,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f308]) ).

fof(f9826,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f1148]) ).

fof(f9827,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f116]) ).

fof(f9828,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f4407]) ).

fof(f9830,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2154,f3199]) ).

fof(f9831,plain,
    ( sQ369_spl
    | sQ130_spl ),
    inference(split_clause,[status(thm)],[f9828,f4768,f7936]) ).

fof(f9833,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f277]) ).

fof(f9834,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f278]) ).

fof(f9835,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f276]) ).

fof(f9836,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f3231]) ).

fof(f9837,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f3253]) ).

fof(f9838,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f3035]) ).

fof(f9839,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f308]) ).

fof(f9840,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f1148]) ).

fof(f9841,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f116]) ).

fof(f9842,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f4407]) ).

fof(f9844,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2153,f3199]) ).

fof(f9845,plain,
    ( sQ369_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f9842,f4772,f7936]) ).

fof(f9847,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f277]) ).

fof(f9848,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f278]) ).

fof(f9849,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f276]) ).

fof(f9850,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f3231]) ).

fof(f9851,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f3253]) ).

fof(f9852,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f3035]) ).

fof(f9853,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f308]) ).

fof(f9854,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f1148]) ).

fof(f9855,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f116]) ).

fof(f9856,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f4407]) ).

fof(f9858,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2012,f3199]) ).

fof(f9859,plain,
    ( sQ369_spl
    | sQ132_spl ),
    inference(split_clause,[status(thm)],[f9856,f4776,f7936]) ).

fof(f9861,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f277]) ).

fof(f9862,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f278]) ).

fof(f9863,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f276]) ).

fof(f9864,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f3231]) ).

fof(f9865,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f3253]) ).

fof(f9866,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f3035]) ).

fof(f9867,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f308]) ).

fof(f9868,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f1148]) ).

fof(f9869,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f116]) ).

fof(f9870,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f4407]) ).

fof(f9872,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2011,f3199]) ).

fof(f9873,plain,
    ( sQ369_spl
    | sQ133_spl ),
    inference(split_clause,[status(thm)],[f9870,f4780,f7936]) ).

fof(f9875,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f277]) ).

fof(f9876,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f278]) ).

fof(f9877,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f276]) ).

fof(f9878,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f3231]) ).

fof(f9879,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f3253]) ).

fof(f9880,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f3035]) ).

fof(f9881,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f308]) ).

fof(f9882,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f1148]) ).

fof(f9883,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f116]) ).

fof(f9884,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f4407]) ).

fof(f9886,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1874,f3199]) ).

fof(f9887,plain,
    ( sQ369_spl
    | sQ154_spl ),
    inference(split_clause,[status(thm)],[f9884,f4864,f7936]) ).

fof(f9889,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f277]) ).

fof(f9890,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f278]) ).

fof(f9891,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f276]) ).

fof(f9892,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f3231]) ).

fof(f9893,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f3253]) ).

fof(f9894,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f3035]) ).

fof(f9895,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f308]) ).

fof(f9896,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f1148]) ).

fof(f9897,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f116]) ).

fof(f9898,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f4407]) ).

fof(f9900,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1873,f3199]) ).

fof(f9901,plain,
    ( sQ369_spl
    | sQ155_spl ),
    inference(split_clause,[status(thm)],[f9898,f4868,f7936]) ).

fof(f9903,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4358,f7114]) ).

fof(f9904,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4358,f165]) ).

fof(f9905,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4357,f7114]) ).

fof(f9906,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f11(X1,cx),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4357,f165]) ).

fof(f9907,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4356,f7114]) ).

fof(f9908,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4356,f165]) ).

fof(f9909,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f17(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))),f11(X0,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,intersection_of_members(ct))) ),
    inference(resolution,[status(thm)],[f3479,f7114]) ).

fof(f9910,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f17(cx,ct,f11(X0,cx),f11(X1,cx)),f11(X0,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3479,f165]) ).

fof(f9911,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f277]) ).

fof(f9912,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f278]) ).

fof(f9913,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f276]) ).

fof(f9914,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f3231]) ).

fof(f9915,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f3253]) ).

fof(f9916,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f3035]) ).

fof(f9917,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f308]) ).

fof(f9918,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f1148]) ).

fof(f9919,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f116]) ).

fof(f9920,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f4407]) ).

fof(f9922,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1740,f3199]) ).

fof(f9923,plain,
    ( sQ369_spl
    | sQ165_spl ),
    inference(split_clause,[status(thm)],[f9920,f4908,f7936]) ).

fof(f9925,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f277]) ).

fof(f9926,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f278]) ).

fof(f9927,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f276]) ).

fof(f9928,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f3231]) ).

fof(f9929,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f3253]) ).

fof(f9930,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f3035]) ).

fof(f9931,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f308]) ).

fof(f9932,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f1148]) ).

fof(f9933,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f116]) ).

fof(f9934,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f4407]) ).

fof(f9936,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1739,f3199]) ).

fof(f9937,plain,
    ( sQ369_spl
    | sQ166_spl ),
    inference(split_clause,[status(thm)],[f9934,f4912,f7936]) ).

fof(f9939,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f277]) ).

fof(f9940,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f278]) ).

fof(f9941,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f276]) ).

fof(f9942,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f3231]) ).

fof(f9943,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f3253]) ).

fof(f9944,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f3035]) ).

fof(f9945,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f308]) ).

fof(f9946,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f1148]) ).

fof(f9947,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f116]) ).

fof(f9948,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f4407]) ).

fof(f9950,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1610,f3199]) ).

fof(f9951,plain,
    ( sQ369_spl
    | sQ156_spl ),
    inference(split_clause,[status(thm)],[f9948,f4872,f7936]) ).

fof(f9953,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f277]) ).

fof(f9954,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f278]) ).

fof(f9955,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f276]) ).

fof(f9956,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f3231]) ).

fof(f9957,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f3253]) ).

fof(f9958,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f3035]) ).

fof(f9959,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f308]) ).

fof(f9960,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f1148]) ).

fof(f9961,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f116]) ).

fof(f9962,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f4407]) ).

fof(f9964,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1609,f3199]) ).

fof(f9965,plain,
    ( sQ369_spl
    | sQ157_spl ),
    inference(split_clause,[status(thm)],[f9962,f4876,f7936]) ).

fof(f9967,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f277]) ).

fof(f9968,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f278]) ).

fof(f9969,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f276]) ).

fof(f9970,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f3231]) ).

fof(f9971,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f3253]) ).

fof(f9972,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f3035]) ).

fof(f9973,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f308]) ).

fof(f9974,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f1148]) ).

fof(f9975,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f116]) ).

fof(f9976,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f4407]) ).

fof(f9978,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1484,f3199]) ).

fof(f9979,plain,
    ( sQ369_spl
    | sQ167_spl ),
    inference(split_clause,[status(thm)],[f9976,f4916,f7936]) ).

fof(f9981,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f277]) ).

fof(f9982,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f278]) ).

fof(f9983,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f276]) ).

fof(f9984,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f3231]) ).

fof(f9985,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f3253]) ).

fof(f9986,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f3035]) ).

fof(f9987,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f308]) ).

fof(f9988,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f1148]) ).

fof(f9989,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f116]) ).

fof(f9990,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f4407]) ).

fof(f9992,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1483,f3199]) ).

fof(f9993,plain,
    ( sQ369_spl
    | sQ168_spl ),
    inference(split_clause,[status(thm)],[f9990,f4920,f7936]) ).

fof(f9995,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f277]) ).

fof(f9996,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f278]) ).

fof(f9997,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f276]) ).

fof(f9998,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f3231]) ).

fof(f9999,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f3253]) ).

fof(f10000,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f3035]) ).

fof(f10001,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f308]) ).

fof(f10002,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f1148]) ).

fof(f10003,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f116]) ).

fof(f10004,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f4407]) ).

fof(f10006,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f599,f3199]) ).

fof(f10007,plain,
    ( sQ369_spl
    | sQ238_spl ),
    inference(split_clause,[status(thm)],[f10004,f5200,f7936]) ).

fof(f10009,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f277]) ).

fof(f10010,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f278]) ).

fof(f10011,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f276]) ).

fof(f10012,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f3231]) ).

fof(f10013,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f3253]) ).

fof(f10014,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f3035]) ).

fof(f10015,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f308]) ).

fof(f10016,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f1148]) ).

fof(f10017,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f116]) ).

fof(f10018,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f4407]) ).

fof(f10020,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f598,f3199]) ).

fof(f10021,plain,
    ( sQ369_spl
    | sQ201_spl ),
    inference(split_clause,[status(thm)],[f10018,f5052,f7936]) ).

fof(f10023,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f277]) ).

fof(f10024,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f278]) ).

fof(f10025,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f276]) ).

fof(f10026,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f3231]) ).

fof(f10027,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f3253]) ).

fof(f10028,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f3035]) ).

fof(f10029,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f308]) ).

fof(f10030,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f1148]) ).

fof(f10031,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f116]) ).

fof(f10032,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f4407]) ).

fof(f10034,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f590,f3199]) ).

fof(f10035,plain,
    ( sQ369_spl
    | sQ239_spl ),
    inference(split_clause,[status(thm)],[f10032,f5204,f7936]) ).

fof(f10037,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f277]) ).

fof(f10038,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f278]) ).

fof(f10039,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f276]) ).

fof(f10040,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f3231]) ).

fof(f10041,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f3253]) ).

fof(f10042,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f3035]) ).

fof(f10043,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f308]) ).

fof(f10044,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f1148]) ).

fof(f10045,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f116]) ).

fof(f10046,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f4407]) ).

fof(f10048,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f589,f3199]) ).

fof(f10049,plain,
    ( sQ369_spl
    | sQ202_spl ),
    inference(split_clause,[status(thm)],[f10046,f5056,f7936]) ).

fof(f10051,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f277]) ).

fof(f10052,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f278]) ).

fof(f10053,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f276]) ).

fof(f10054,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f3231]) ).

fof(f10055,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f3253]) ).

fof(f10056,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f3035]) ).

fof(f10057,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f308]) ).

fof(f10058,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f1148]) ).

fof(f10059,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f116]) ).

fof(f10060,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f4407]) ).

fof(f10062,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f581,f3199]) ).

fof(f10063,plain,
    ( sQ369_spl
    | sQ134_spl ),
    inference(split_clause,[status(thm)],[f10060,f4784,f7936]) ).

fof(f10065,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f277]) ).

fof(f10066,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f278]) ).

fof(f10067,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f276]) ).

fof(f10068,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f3231]) ).

fof(f10069,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f3253]) ).

fof(f10070,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f3035]) ).

fof(f10071,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f308]) ).

fof(f10072,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f1148]) ).

fof(f10073,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f116]) ).

fof(f10074,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f4407]) ).

fof(f10076,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f580,f3199]) ).

fof(f10077,plain,
    ( sQ369_spl
    | sQ135_spl ),
    inference(split_clause,[status(thm)],[f10074,f4788,f7936]) ).

fof(f10079,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f277]) ).

fof(f10080,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f278]) ).

fof(f10081,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f276]) ).

fof(f10082,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f3231]) ).

fof(f10083,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f3253]) ).

fof(f10084,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f3035]) ).

fof(f10085,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f308]) ).

fof(f10086,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f1148]) ).

fof(f10087,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f116]) ).

fof(f10088,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f4407]) ).

fof(f10090,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f573,f3199]) ).

fof(f10091,plain,
    ( sQ369_spl
    | sQ136_spl ),
    inference(split_clause,[status(thm)],[f10088,f4792,f7936]) ).

fof(f10093,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f277]) ).

fof(f10094,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f278]) ).

fof(f10095,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f276]) ).

fof(f10096,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f3231]) ).

fof(f10097,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f3253]) ).

fof(f10098,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f3035]) ).

fof(f10099,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f308]) ).

fof(f10100,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f1148]) ).

fof(f10101,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f116]) ).

fof(f10102,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f4407]) ).

fof(f10104,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f572,f3199]) ).

fof(f10105,plain,
    ( sQ369_spl
    | sQ137_spl ),
    inference(split_clause,[status(thm)],[f10102,f4796,f7936]) ).

fof(f10107,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f277]) ).

fof(f10108,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f278]) ).

fof(f10109,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f276]) ).

fof(f10110,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f3231]) ).

fof(f10111,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f3253]) ).

fof(f10112,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f3035]) ).

fof(f10113,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f308]) ).

fof(f10114,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f1148]) ).

fof(f10115,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f116]) ).

fof(f10116,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f4407]) ).

fof(f10118,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f547,f3199]) ).

fof(f10119,plain,
    ( sQ369_spl
    | sQ240_spl ),
    inference(split_clause,[status(thm)],[f10116,f5208,f7936]) ).

fof(f10121,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f277]) ).

fof(f10122,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f278]) ).

fof(f10123,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f276]) ).

fof(f10124,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f3231]) ).

fof(f10125,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f3253]) ).

fof(f10126,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f3035]) ).

fof(f10127,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f308]) ).

fof(f10128,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f1148]) ).

fof(f10129,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f116]) ).

fof(f10130,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f4407]) ).

fof(f10132,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f546,f3199]) ).

fof(f10133,plain,
    ( sQ369_spl
    | sQ203_spl ),
    inference(split_clause,[status(thm)],[f10130,f5060,f7936]) ).

fof(f10135,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f277]) ).

fof(f10136,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f278]) ).

fof(f10137,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f276]) ).

fof(f10138,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f3231]) ).

fof(f10139,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f3253]) ).

fof(f10140,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f3035]) ).

fof(f10141,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f308]) ).

fof(f10142,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f1148]) ).

fof(f10143,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f116]) ).

fof(f10144,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f4407]) ).

fof(f10146,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f539,f3199]) ).

fof(f10147,plain,
    ( sQ369_spl
    | sQ241_spl ),
    inference(split_clause,[status(thm)],[f10144,f5212,f7936]) ).

fof(f10149,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f277]) ).

fof(f10150,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f278]) ).

fof(f10151,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f276]) ).

fof(f10152,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f3231]) ).

fof(f10153,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f3253]) ).

fof(f10154,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f3035]) ).

fof(f10155,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f308]) ).

fof(f10156,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f1148]) ).

fof(f10157,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f116]) ).

fof(f10158,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f4407]) ).

fof(f10160,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f538,f3199]) ).

fof(f10161,plain,
    ( sQ369_spl
    | sQ204_spl ),
    inference(split_clause,[status(thm)],[f10158,f5064,f7936]) ).

fof(f10163,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f277]) ).

fof(f10164,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f278]) ).

fof(f10165,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f276]) ).

fof(f10166,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f3231]) ).

fof(f10167,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f3253]) ).

fof(f10168,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f3035]) ).

fof(f10169,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f308]) ).

fof(f10170,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f1148]) ).

fof(f10171,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f116]) ).

fof(f10172,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f4407]) ).

fof(f10174,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f531,f3199]) ).

fof(f10175,plain,
    ( sQ369_spl
    | sQ140_spl ),
    inference(split_clause,[status(thm)],[f10172,f4808,f7936]) ).

fof(f10177,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f277]) ).

fof(f10178,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f278]) ).

fof(f10179,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f276]) ).

fof(f10180,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f3231]) ).

fof(f10181,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f3253]) ).

fof(f10182,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f3035]) ).

fof(f10183,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f308]) ).

fof(f10184,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f1148]) ).

fof(f10185,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f116]) ).

fof(f10186,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f4407]) ).

fof(f10188,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f530,f3199]) ).

fof(f10189,plain,
    ( sQ369_spl
    | sQ141_spl ),
    inference(split_clause,[status(thm)],[f10186,f4812,f7936]) ).

fof(f10191,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f277]) ).

fof(f10192,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f278]) ).

fof(f10193,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f276]) ).

fof(f10194,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f3231]) ).

fof(f10195,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f3253]) ).

fof(f10196,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f3035]) ).

fof(f10197,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f308]) ).

fof(f10198,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f1148]) ).

fof(f10199,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f116]) ).

fof(f10200,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f4407]) ).

fof(f10202,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f523,f3199]) ).

fof(f10203,plain,
    ( sQ369_spl
    | sQ142_spl ),
    inference(split_clause,[status(thm)],[f10200,f4816,f7936]) ).

fof(f10205,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f277]) ).

fof(f10206,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f278]) ).

fof(f10207,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f276]) ).

fof(f10208,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f3231]) ).

fof(f10209,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f3253]) ).

fof(f10210,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f3035]) ).

fof(f10211,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f308]) ).

fof(f10212,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f1148]) ).

fof(f10213,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f116]) ).

fof(f10214,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f4407]) ).

fof(f10216,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f522,f3199]) ).

fof(f10217,plain,
    ( sQ369_spl
    | sQ143_spl ),
    inference(split_clause,[status(thm)],[f10214,f4820,f7936]) ).

fof(f10219,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f277]) ).

fof(f10220,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f278]) ).

fof(f10221,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f276]) ).

fof(f10222,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f3231]) ).

fof(f10223,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f3253]) ).

fof(f10224,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f3035]) ).

fof(f10225,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f308]) ).

fof(f10226,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f1148]) ).

fof(f10227,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f116]) ).

fof(f10228,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f4407]) ).

fof(f10230,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f492,f3199]) ).

fof(f10231,plain,
    ( sQ369_spl
    | sQ242_spl ),
    inference(split_clause,[status(thm)],[f10228,f5216,f7936]) ).

fof(f10233,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f277]) ).

fof(f10234,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f278]) ).

fof(f10235,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f276]) ).

fof(f10236,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f3231]) ).

fof(f10237,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f3253]) ).

fof(f10238,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f3035]) ).

fof(f10239,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f308]) ).

fof(f10240,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f1148]) ).

fof(f10241,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f116]) ).

fof(f10242,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f4407]) ).

fof(f10244,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f491,f3199]) ).

fof(f10245,plain,
    ( sQ369_spl
    | sQ205_spl ),
    inference(split_clause,[status(thm)],[f10242,f5068,f7936]) ).

fof(f10247,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f277]) ).

fof(f10248,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f278]) ).

fof(f10249,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f276]) ).

fof(f10250,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f3231]) ).

fof(f10251,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f3253]) ).

fof(f10252,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f3035]) ).

fof(f10253,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f308]) ).

fof(f10254,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f1148]) ).

fof(f10255,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f116]) ).

fof(f10256,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f4407]) ).

fof(f10258,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f485,f3199]) ).

fof(f10259,plain,
    ( sQ369_spl
    | sQ243_spl ),
    inference(split_clause,[status(thm)],[f10256,f5220,f7936]) ).

fof(f10261,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f277]) ).

fof(f10262,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f278]) ).

fof(f10263,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f276]) ).

fof(f10264,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f3231]) ).

fof(f10265,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f3253]) ).

fof(f10266,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f3035]) ).

fof(f10267,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f308]) ).

fof(f10268,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f1148]) ).

fof(f10269,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f116]) ).

fof(f10270,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f4407]) ).

fof(f10272,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f484,f3199]) ).

fof(f10273,plain,
    ( sQ369_spl
    | sQ206_spl ),
    inference(split_clause,[status(thm)],[f10270,f5072,f7936]) ).

fof(f10275,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f277]) ).

fof(f10276,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f278]) ).

fof(f10277,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f276]) ).

fof(f10278,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f3231]) ).

fof(f10279,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f3253]) ).

fof(f10280,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f3035]) ).

fof(f10281,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f308]) ).

fof(f10282,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f1148]) ).

fof(f10283,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f116]) ).

fof(f10284,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f4407]) ).

fof(f10286,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f478,f3199]) ).

fof(f10287,plain,
    ( sQ369_spl
    | sQ244_spl ),
    inference(split_clause,[status(thm)],[f10284,f5224,f7936]) ).

fof(f10289,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f277]) ).

fof(f10290,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f278]) ).

fof(f10291,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f276]) ).

fof(f10292,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f3231]) ).

fof(f10293,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f3253]) ).

fof(f10294,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f3035]) ).

fof(f10295,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f308]) ).

fof(f10296,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f1148]) ).

fof(f10297,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f116]) ).

fof(f10298,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f4407]) ).

fof(f10300,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f477,f3199]) ).

fof(f10301,plain,
    ( sQ369_spl
    | sQ207_spl ),
    inference(split_clause,[status(thm)],[f10298,f5076,f7936]) ).

fof(f10303,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f277]) ).

fof(f10304,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f278]) ).

fof(f10305,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f276]) ).

fof(f10306,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f3231]) ).

fof(f10307,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f3253]) ).

fof(f10308,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f3035]) ).

fof(f10309,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f308]) ).

fof(f10310,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f1148]) ).

fof(f10311,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f116]) ).

fof(f10312,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f4407]) ).

fof(f10314,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f457,f3199]) ).

fof(f10315,plain,
    ( sQ369_spl
    | sQ158_spl ),
    inference(split_clause,[status(thm)],[f10312,f4880,f7936]) ).

fof(f10317,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f277]) ).

fof(f10318,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f278]) ).

fof(f10319,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f276]) ).

fof(f10320,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f3231]) ).

fof(f10321,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f3253]) ).

fof(f10322,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f3035]) ).

fof(f10323,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f308]) ).

fof(f10324,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f1148]) ).

fof(f10325,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f116]) ).

fof(f10326,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f4407]) ).

fof(f10328,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f456,f3199]) ).

fof(f10329,plain,
    ( sQ369_spl
    | sQ159_spl ),
    inference(split_clause,[status(thm)],[f10326,f4884,f7936]) ).

fof(f10331,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f277]) ).

fof(f10332,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f278]) ).

fof(f10333,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f276]) ).

fof(f10334,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f3231]) ).

fof(f10335,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f3253]) ).

fof(f10336,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f3035]) ).

fof(f10337,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f308]) ).

fof(f10338,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f1148]) ).

fof(f10339,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f116]) ).

fof(f10340,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f4407]) ).

fof(f10342,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f449,f3199]) ).

fof(f10343,plain,
    ( sQ369_spl
    | sQ160_spl ),
    inference(split_clause,[status(thm)],[f10340,f4888,f7936]) ).

fof(f10345,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f277]) ).

fof(f10346,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f278]) ).

fof(f10347,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f276]) ).

fof(f10348,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f3231]) ).

fof(f10349,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f3253]) ).

fof(f10350,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f3035]) ).

fof(f10351,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f308]) ).

fof(f10352,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f1148]) ).

fof(f10353,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f116]) ).

fof(f10354,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f4407]) ).

fof(f10356,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f448,f3199]) ).

fof(f10357,plain,
    ( sQ369_spl
    | sQ161_spl ),
    inference(split_clause,[status(thm)],[f10354,f4892,f7936]) ).

fof(f10359,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f277]) ).

fof(f10360,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f278]) ).

fof(f10361,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f276]) ).

fof(f10362,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f3231]) ).

fof(f10363,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f3253]) ).

fof(f10364,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f3035]) ).

fof(f10365,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f308]) ).

fof(f10366,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f1148]) ).

fof(f10367,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f116]) ).

fof(f10368,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f4407]) ).

fof(f10370,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f425,f3199]) ).

fof(f10371,plain,
    ( sQ369_spl
    | sQ245_spl ),
    inference(split_clause,[status(thm)],[f10368,f5228,f7936]) ).

fof(f10373,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f277]) ).

fof(f10374,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f278]) ).

fof(f10375,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f276]) ).

fof(f10376,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f3231]) ).

fof(f10377,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f3253]) ).

fof(f10378,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f3035]) ).

fof(f10379,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f308]) ).

fof(f10380,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f1148]) ).

fof(f10381,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f116]) ).

fof(f10382,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f4407]) ).

fof(f10384,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f424,f3199]) ).

fof(f10385,plain,
    ( sQ369_spl
    | sQ208_spl ),
    inference(split_clause,[status(thm)],[f10382,f5080,f7936]) ).

fof(f10387,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f277]) ).

fof(f10388,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f278]) ).

fof(f10389,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f276]) ).

fof(f10390,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f3231]) ).

fof(f10391,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f3253]) ).

fof(f10392,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f3035]) ).

fof(f10393,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f308]) ).

fof(f10394,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f1148]) ).

fof(f10395,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f116]) ).

fof(f10396,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f4407]) ).

fof(f10398,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f419,f3199]) ).

fof(f10399,plain,
    ( sQ369_spl
    | sQ169_spl ),
    inference(split_clause,[status(thm)],[f10396,f4924,f7936]) ).

fof(f10401,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f277]) ).

fof(f10402,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f278]) ).

fof(f10403,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f276]) ).

fof(f10404,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f3231]) ).

fof(f10405,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f3253]) ).

fof(f10406,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f3035]) ).

fof(f10407,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f308]) ).

fof(f10408,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f1148]) ).

fof(f10409,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f116]) ).

fof(f10410,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f4407]) ).

fof(f10412,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f418,f3199]) ).

fof(f10413,plain,
    ( sQ369_spl
    | sQ170_spl ),
    inference(split_clause,[status(thm)],[f10410,f4928,f7936]) ).

fof(f10415,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f277]) ).

fof(f10416,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f278]) ).

fof(f10417,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f276]) ).

fof(f10418,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f3231]) ).

fof(f10419,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f3253]) ).

fof(f10420,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f3035]) ).

fof(f10421,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f308]) ).

fof(f10422,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f1148]) ).

fof(f10423,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f116]) ).

fof(f10424,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f4407]) ).

fof(f10426,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f411,f3199]) ).

fof(f10427,plain,
    ( sQ369_spl
    | sQ171_spl ),
    inference(split_clause,[status(thm)],[f10424,f4932,f7936]) ).

fof(f10429,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f277]) ).

fof(f10430,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f278]) ).

fof(f10431,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f276]) ).

fof(f10432,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f3231]) ).

fof(f10433,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f3253]) ).

fof(f10434,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f3035]) ).

fof(f10435,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f308]) ).

fof(f10436,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f1148]) ).

fof(f10437,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f116]) ).

fof(f10438,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f4407]) ).

fof(f10440,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f410,f3199]) ).

fof(f10441,plain,
    ( sQ369_spl
    | sQ172_spl ),
    inference(split_clause,[status(thm)],[f10438,f4936,f7936]) ).

fof(f10443,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f277]) ).

fof(f10444,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f278]) ).

fof(f10445,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f276]) ).

fof(f10446,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f3231]) ).

fof(f10447,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f3253]) ).

fof(f10448,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f3035]) ).

fof(f10449,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f308]) ).

fof(f10450,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f1148]) ).

fof(f10451,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f116]) ).

fof(f10452,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f4407]) ).

fof(f10454,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f395,f3199]) ).

fof(f10455,plain,
    ( sQ369_spl
    | sQ261_spl ),
    inference(split_clause,[status(thm)],[f10452,f5292,f7936]) ).

fof(f10457,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f277]) ).

fof(f10458,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f278]) ).

fof(f10459,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f276]) ).

fof(f10460,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f3231]) ).

fof(f10461,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f3253]) ).

fof(f10462,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f3035]) ).

fof(f10463,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f308]) ).

fof(f10464,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f1148]) ).

fof(f10465,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f116]) ).

fof(f10466,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f4407]) ).

fof(f10468,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f394,f3199]) ).

fof(f10469,plain,
    ( sQ369_spl
    | sQ218_spl ),
    inference(split_clause,[status(thm)],[f10466,f5120,f7936]) ).

fof(f10471,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f277]) ).

fof(f10472,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f278]) ).

fof(f10473,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f276]) ).

fof(f10474,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f3231]) ).

fof(f10475,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f3253]) ).

fof(f10476,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f3035]) ).

fof(f10477,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f308]) ).

fof(f10478,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f1148]) ).

fof(f10479,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f116]) ).

fof(f10480,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f4407]) ).

fof(f10482,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f390,f3199]) ).

fof(f10483,plain,
    ( sQ369_spl
    | sQ255_spl ),
    inference(split_clause,[status(thm)],[f10480,f5268,f7936]) ).

fof(f10485,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f277]) ).

fof(f10486,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f278]) ).

fof(f10487,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f276]) ).

fof(f10488,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f3231]) ).

fof(f10489,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f3253]) ).

fof(f10490,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f3035]) ).

fof(f10491,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f308]) ).

fof(f10492,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f1148]) ).

fof(f10493,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f116]) ).

fof(f10494,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f4407]) ).

fof(f10496,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f389,f3199]) ).

fof(f10497,plain,
    ( sQ369_spl
    | sQ225_spl ),
    inference(split_clause,[status(thm)],[f10494,f5148,f7936]) ).

fof(f10499,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f277]) ).

fof(f10500,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f278]) ).

fof(f10501,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f276]) ).

fof(f10502,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f3231]) ).

fof(f10503,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f3253]) ).

fof(f10504,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f3035]) ).

fof(f10505,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f308]) ).

fof(f10506,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f1148]) ).

fof(f10507,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f116]) ).

fof(f10508,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f4407]) ).

fof(f10510,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f385,f3199]) ).

fof(f10511,plain,
    ( sQ369_spl
    | sQ262_spl ),
    inference(split_clause,[status(thm)],[f10508,f5296,f7936]) ).

fof(f10513,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f277]) ).

fof(f10514,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f278]) ).

fof(f10515,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f276]) ).

fof(f10516,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f3231]) ).

fof(f10517,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f3253]) ).

fof(f10518,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f3035]) ).

fof(f10519,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f308]) ).

fof(f10520,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f1148]) ).

fof(f10521,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f116]) ).

fof(f10522,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f4407]) ).

fof(f10524,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f384,f3199]) ).

fof(f10525,plain,
    ( sQ369_spl
    | sQ219_spl ),
    inference(split_clause,[status(thm)],[f10522,f5124,f7936]) ).

fof(f10527,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f277]) ).

fof(f10528,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f278]) ).

fof(f10529,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f276]) ).

fof(f10530,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f3231]) ).

fof(f10531,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f3253]) ).

fof(f10532,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f3035]) ).

fof(f10533,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f308]) ).

fof(f10534,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f1148]) ).

fof(f10535,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f116]) ).

fof(f10536,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f4407]) ).

fof(f10538,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f380,f3199]) ).

fof(f10539,plain,
    ( sQ369_spl
    | sQ256_spl ),
    inference(split_clause,[status(thm)],[f10536,f5272,f7936]) ).

fof(f10541,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f277]) ).

fof(f10542,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f278]) ).

fof(f10543,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f276]) ).

fof(f10544,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f3231]) ).

fof(f10545,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f3253]) ).

fof(f10546,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f3035]) ).

fof(f10547,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f308]) ).

fof(f10548,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f1148]) ).

fof(f10549,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f116]) ).

fof(f10550,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f4407]) ).

fof(f10552,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f379,f3199]) ).

fof(f10553,plain,
    ( sQ369_spl
    | sQ226_spl ),
    inference(split_clause,[status(thm)],[f10550,f5152,f7936]) ).

fof(f10555,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f277]) ).

fof(f10556,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f278]) ).

fof(f10557,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f276]) ).

fof(f10558,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f3231]) ).

fof(f10559,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f3253]) ).

fof(f10560,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f3035]) ).

fof(f10561,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f308]) ).

fof(f10562,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f1148]) ).

fof(f10563,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f116]) ).

fof(f10564,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f4407]) ).

fof(f10566,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f375,f3199]) ).

fof(f10567,plain,
    ( sQ369_spl
    | sQ247_spl ),
    inference(split_clause,[status(thm)],[f10564,f5236,f7936]) ).

fof(f10569,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f277]) ).

fof(f10570,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f278]) ).

fof(f10571,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f276]) ).

fof(f10572,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f3231]) ).

fof(f10573,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f3253]) ).

fof(f10574,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f3035]) ).

fof(f10575,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f308]) ).

fof(f10576,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f1148]) ).

fof(f10577,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f116]) ).

fof(f10578,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f4407]) ).

fof(f10580,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f374,f3199]) ).

fof(f10581,plain,
    ( sQ369_spl
    | sQ210_spl ),
    inference(split_clause,[status(thm)],[f10578,f5088,f7936]) ).

fof(f10583,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f18(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,intersection_of_members(ct))) ),
    inference(resolution,[status(thm)],[f3478,f7114]) ).

fof(f10584,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f18(cx,ct,f11(X0,cx),f11(X1,cx)),f11(X1,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3478,f165]) ).

fof(f10585,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | disjoint_s(f17(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))),f18(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))))
      | eq_p(f11(X0,cx),f11(X1,intersection_of_members(ct))) ),
    inference(resolution,[status(thm)],[f3477,f7114]) ).

fof(f10586,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | disjoint_s(f17(cx,ct,f11(X0,cx),f11(X1,cx)),f18(cx,ct,f11(X0,cx),f11(X1,cx)))
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3477,f165]) ).

fof(f10587,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f277]) ).

fof(f10588,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f278]) ).

fof(f10589,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f276]) ).

fof(f10590,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f3231]) ).

fof(f10591,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f3253]) ).

fof(f10592,plain,
    ! [X0,X1] :
      ( open(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))),cx,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f3035]) ).

fof(f10593,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f308]) ).

fof(f10594,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f1148]) ).

fof(f10595,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f116]) ).

fof(f10596,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_collection(f1(ct,f11(X2,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f4407]) ).

fof(f10598,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1145,f3199]) ).

fof(f10599,plain,
    ( sQ369_spl
    | sQ175_spl ),
    inference(split_clause,[status(thm)],[f10596,f4948,f7936]) ).

fof(f10601,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f277]) ).

fof(f10602,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f278]) ).

fof(f10603,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),f2(ct,X1)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f276]) ).

fof(f10604,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,empty_set)),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f3231]) ).

fof(f10605,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,cx)),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f3253]) ).

fof(f10606,plain,
    ! [X0,X1] :
      ( open(intersection_of_sets(f2(ct,X0),f2(ct,X1)),cx,ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f3035]) ).

fof(f10607,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f308]) ).

fof(f10608,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f1148]) ).

fof(f10609,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,intersection_of_sets(f2(ct,X0),f2(ct,X1)))
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f116]) ).

fof(f10610,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_sets(f2(ct,X0),f2(ct,X1)))
      | element_of_collection(f1(ct,f11(X2,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f4407]) ).

fof(f10612,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),f2(ct,X1)))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f318,f3199]) ).

fof(f10613,plain,
    ( sQ369_spl
    | sQ176_spl ),
    inference(split_clause,[status(thm)],[f10610,f4952,f7936]) ).

fof(f10615,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f277]) ).

fof(f10616,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f278]) ).

fof(f10617,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f276]) ).

fof(f10618,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f3231]) ).

fof(f10619,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f3253]) ).

fof(f10620,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f3035]) ).

fof(f10621,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f308]) ).

fof(f10622,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f1148]) ).

fof(f10623,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f116]) ).

fof(f10624,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f4407]) ).

fof(f10626,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f370,f3199]) ).

fof(f10627,plain,
    ( sQ369_spl
    | sQ248_spl ),
    inference(split_clause,[status(thm)],[f10624,f5240,f7936]) ).

fof(f10629,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f277]) ).

fof(f10630,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f278]) ).

fof(f10631,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f276]) ).

fof(f10632,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f3231]) ).

fof(f10633,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f3253]) ).

fof(f10634,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f3035]) ).

fof(f10635,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f308]) ).

fof(f10636,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f1148]) ).

fof(f10637,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f116]) ).

fof(f10638,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f4407]) ).

fof(f10640,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f369,f3199]) ).

fof(f10641,plain,
    ( sQ369_spl
    | sQ211_spl ),
    inference(split_clause,[status(thm)],[f10638,f5092,f7936]) ).

fof(f10643,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f277]) ).

fof(f10644,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f278]) ).

fof(f10645,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f276]) ).

fof(f10646,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f3231]) ).

fof(f10647,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f3253]) ).

fof(f10648,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f3035]) ).

fof(f10649,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f308]) ).

fof(f10650,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f1148]) ).

fof(f10651,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f116]) ).

fof(f10652,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f4407]) ).

fof(f10654,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f365,f3199]) ).

fof(f10655,plain,
    ( sQ369_spl
    | sQ249_spl ),
    inference(split_clause,[status(thm)],[f10652,f5244,f7936]) ).

fof(f10657,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f277]) ).

fof(f10658,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f278]) ).

fof(f10659,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f276]) ).

fof(f10660,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f3231]) ).

fof(f10661,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f3253]) ).

fof(f10662,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f3035]) ).

fof(f10663,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f308]) ).

fof(f10664,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f1148]) ).

fof(f10665,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f116]) ).

fof(f10666,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f4407]) ).

fof(f10668,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f364,f3199]) ).

fof(f10669,plain,
    ( sQ369_spl
    | sQ212_spl ),
    inference(split_clause,[status(thm)],[f10666,f5096,f7936]) ).

fof(f10671,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f277]) ).

fof(f10672,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f278]) ).

fof(f10673,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f276]) ).

fof(f10674,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f3231]) ).

fof(f10675,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f3253]) ).

fof(f10676,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f3035]) ).

fof(f10677,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f308]) ).

fof(f10678,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f1148]) ).

fof(f10679,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f116]) ).

fof(f10680,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f4407]) ).

fof(f10682,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f360,f3199]) ).

fof(f10683,plain,
    ( sQ369_spl
    | sQ250_spl ),
    inference(split_clause,[status(thm)],[f10680,f5248,f7936]) ).

fof(f10685,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f277]) ).

fof(f10686,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f278]) ).

fof(f10687,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f276]) ).

fof(f10688,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f3231]) ).

fof(f10689,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f3253]) ).

fof(f10690,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f3035]) ).

fof(f10691,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f308]) ).

fof(f10692,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f1148]) ).

fof(f10693,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f116]) ).

fof(f10694,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f4407]) ).

fof(f10696,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f359,f3199]) ).

fof(f10697,plain,
    ( sQ369_spl
    | sQ213_spl ),
    inference(split_clause,[status(thm)],[f10694,f5100,f7936]) ).

fof(f10699,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f277]) ).

fof(f10700,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f278]) ).

fof(f10701,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f276]) ).

fof(f10702,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f3231]) ).

fof(f10703,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f3253]) ).

fof(f10704,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f3035]) ).

fof(f10705,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f308]) ).

fof(f10706,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f1148]) ).

fof(f10707,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f116]) ).

fof(f10708,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f4407]) ).

fof(f10710,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f355,f3199]) ).

fof(f10711,plain,
    ( sQ369_spl
    | sQ263_spl ),
    inference(split_clause,[status(thm)],[f10708,f5300,f7936]) ).

fof(f10713,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f277]) ).

fof(f10714,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f278]) ).

fof(f10715,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f276]) ).

fof(f10716,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f3231]) ).

fof(f10717,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f3253]) ).

fof(f10718,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f3035]) ).

fof(f10719,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f308]) ).

fof(f10720,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f1148]) ).

fof(f10721,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f116]) ).

fof(f10722,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f4407]) ).

fof(f10724,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f354,f3199]) ).

fof(f10725,plain,
    ( sQ369_spl
    | sQ220_spl ),
    inference(split_clause,[status(thm)],[f10722,f5128,f7936]) ).

fof(f10727,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f277]) ).

fof(f10728,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f278]) ).

fof(f10729,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f276]) ).

fof(f10730,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f3231]) ).

fof(f10731,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f3253]) ).

fof(f10732,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f3035]) ).

fof(f10733,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f308]) ).

fof(f10734,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f1148]) ).

fof(f10735,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f116]) ).

fof(f10736,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f4407]) ).

fof(f10738,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f350,f3199]) ).

fof(f10739,plain,
    ( sQ369_spl
    | sQ257_spl ),
    inference(split_clause,[status(thm)],[f10736,f5276,f7936]) ).

fof(f10741,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f277]) ).

fof(f10742,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f278]) ).

fof(f10743,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f276]) ).

fof(f10744,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f3231]) ).

fof(f10745,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f3253]) ).

fof(f10746,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f3035]) ).

fof(f10747,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f308]) ).

fof(f10748,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f1148]) ).

fof(f10749,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f116]) ).

fof(f10750,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f4407]) ).

fof(f10752,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f349,f3199]) ).

fof(f10753,plain,
    ( sQ369_spl
    | sQ227_spl ),
    inference(split_clause,[status(thm)],[f10750,f5156,f7936]) ).

fof(f10755,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f277]) ).

fof(f10756,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f278]) ).

fof(f10757,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f276]) ).

fof(f10758,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f3231]) ).

fof(f10759,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f3253]) ).

fof(f10760,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f3035]) ).

fof(f10761,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f308]) ).

fof(f10762,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f1148]) ).

fof(f10763,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f116]) ).

fof(f10764,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f4407]) ).

fof(f10766,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f345,f3199]) ).

fof(f10767,plain,
    ( sQ369_spl
    | sQ264_spl ),
    inference(split_clause,[status(thm)],[f10764,f5304,f7936]) ).

fof(f10769,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f277]) ).

fof(f10770,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f278]) ).

fof(f10771,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f276]) ).

fof(f10772,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f3231]) ).

fof(f10773,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f3253]) ).

fof(f10774,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f3035]) ).

fof(f10775,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f308]) ).

fof(f10776,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f1148]) ).

fof(f10777,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f116]) ).

fof(f10778,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f4407]) ).

fof(f10780,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f344,f3199]) ).

fof(f10781,plain,
    ( sQ369_spl
    | sQ221_spl ),
    inference(split_clause,[status(thm)],[f10778,f5132,f7936]) ).

fof(f10783,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f277]) ).

fof(f10784,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f278]) ).

fof(f10785,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f276]) ).

fof(f10786,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f3231]) ).

fof(f10787,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f3253]) ).

fof(f10788,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f3035]) ).

fof(f10789,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f308]) ).

fof(f10790,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f1148]) ).

fof(f10791,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f116]) ).

fof(f10792,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f4407]) ).

fof(f10794,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f340,f3199]) ).

fof(f10795,plain,
    ( sQ369_spl
    | sQ258_spl ),
    inference(split_clause,[status(thm)],[f10792,f5280,f7936]) ).

fof(f10797,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f277]) ).

fof(f10798,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f278]) ).

fof(f10799,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f276]) ).

fof(f10800,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f3231]) ).

fof(f10801,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f3253]) ).

fof(f10802,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f3035]) ).

fof(f10803,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f308]) ).

fof(f10804,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f1148]) ).

fof(f10805,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f116]) ).

fof(f10806,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f4407]) ).

fof(f10808,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f339,f3199]) ).

fof(f10809,plain,
    ( sQ369_spl
    | sQ228_spl ),
    inference(split_clause,[status(thm)],[f10806,f5160,f7936]) ).

fof(f10811,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f119]) ).

fof(f10812,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2011]) ).

fof(f10813,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2012]) ).

fof(f10814,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2153]) ).

fof(f10815,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2154]) ).

fof(f10816,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2299]) ).

fof(f10817,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2300]) ).

fof(f10818,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f522]) ).

fof(f10819,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f523]) ).

fof(f10820,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f530]) ).

fof(f10821,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f531]) ).

fof(f10822,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f532]) ).

fof(f10823,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f533]) ).

fof(f10824,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f572]) ).

fof(f10825,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f573]) ).

fof(f10826,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f580]) ).

fof(f10827,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f581]) ).

fof(f10828,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f582]) ).

fof(f10829,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f583]) ).

fof(f10830,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1609]) ).

fof(f10831,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1610]) ).

fof(f10832,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1873]) ).

fof(f10833,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1874]) ).

fof(f10834,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f448]) ).

fof(f10835,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f449]) ).

fof(f10836,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f456]) ).

fof(f10837,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f457]) ).

fof(f10838,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f458]) ).

fof(f10839,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f459]) ).

fof(f10840,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2537]) ).

fof(f10841,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2538]) ).

fof(f10842,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2565]) ).

fof(f10843,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2569]) ).

fof(f10844,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2598]) ).

fof(f10845,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2599]) ).

fof(f10846,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3214]) ).

fof(f10847,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3236]) ).

fof(f10848,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2486]) ).

fof(f10849,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2897]) ).

fof(f10850,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2898]) ).

fof(f10851,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2829]) ).

fof(f10852,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2830]) ).

fof(f10853,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2861]) ).

fof(f10854,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2865]) ).

fof(f10855,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3213]) ).

fof(f10856,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3235]) ).

fof(f10857,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2776]) ).

fof(f10858,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1483]) ).

fof(f10859,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1484]) ).

fof(f10860,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1739]) ).

fof(f10861,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1740]) ).

fof(f10862,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f410]) ).

fof(f10863,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f411]) ).

fof(f10864,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f418]) ).

fof(f10865,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f419]) ).

fof(f10866,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f420]) ).

fof(f10867,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f421]) ).

fof(f10868,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3022]) ).

fof(f10869,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3023]) ).

fof(f10870,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2954]) ).

fof(f10871,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2955]) ).

fof(f10872,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2986]) ).

fof(f10873,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2990]) ).

fof(f10874,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3212]) ).

fof(f10875,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3234]) ).

fof(f10876,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2901]) ).

fof(f10877,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f318]) ).

fof(f10878,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1145]) ).

fof(f10879,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2747]) ).

fof(f10880,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2766]) ).

fof(f10881,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2633]) ).

fof(f10882,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2652]) ).

fof(f10883,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2671]) ).

fof(f10884,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2709]) ).

fof(f10885,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f320]) ).

fof(f10886,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f321]) ).

fof(f10887,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2614]) ).

fof(f10888,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2690]) ).

fof(f10889,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2728]) ).

fof(f10890,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f324]) ).

fof(f10891,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f325]) ).

fof(f10892,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f326]) ).

fof(f10893,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f327]) ).

fof(f10896,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f538]) ).

fof(f10897,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f546]) ).

fof(f10898,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f589]) ).

fof(f10899,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f598]) ).

fof(f10900,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f484]) ).

fof(f10901,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f491]) ).

fof(f10902,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3309]) ).

fof(f10903,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3331]) ).

fof(f10904,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f424]) ).

fof(f10905,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f477]) ).

fof(f10906,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3353]) ).

fof(f10907,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5889]) ).

fof(f10908,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5918]) ).

fof(f10909,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6224]) ).

fof(f10910,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6254]) ).

fof(f10911,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f339]) ).

fof(f10912,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f349]) ).

fof(f10913,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f379]) ).

fof(f10914,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f389]) ).

fof(f10915,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f289]) ).

fof(f10916,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f292]) ).

fof(f10917,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3403]) ).

fof(f10918,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3447]) ).

fof(f10919,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f310]) ).

fof(f10920,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f344]) ).

fof(f10921,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f354]) ).

fof(f10922,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f384]) ).

fof(f10923,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f394]) ).

fof(f10924,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f285]) ).

fof(f10925,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f286]) ).

fof(f10926,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3425]) ).

fof(f10927,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3469]) ).

fof(f10928,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f314]) ).

fof(f10929,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f359]) ).

fof(f10930,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f364]) ).

fof(f10931,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f369]) ).

fof(f10932,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f374]) ).

fof(f10933,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f329]) ).

fof(f10934,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f334]) ).

fof(f10935,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f306]) ).

fof(f10936,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3381]) ).

fof(f10937,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1146]) ).

fof(f10938,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f4387]) ).

fof(f10939,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3229]) ).

fof(f10940,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3251]) ).

fof(f10943,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f539]) ).

fof(f10944,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f547]) ).

fof(f10945,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f590]) ).

fof(f10946,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f599]) ).

fof(f10947,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f485]) ).

fof(f10948,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f492]) ).

fof(f10949,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3310]) ).

fof(f10950,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3332]) ).

fof(f10951,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f425]) ).

fof(f10952,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f478]) ).

fof(f10953,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3354]) ).

fof(f10954,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5890]) ).

fof(f10955,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5919]) ).

fof(f10956,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6225]) ).

fof(f10957,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6255]) ).

fof(f10958,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f340]) ).

fof(f10959,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f350]) ).

fof(f10960,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f380]) ).

fof(f10961,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f390]) ).

fof(f10962,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f290]) ).

fof(f10963,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f293]) ).

fof(f10964,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3404]) ).

fof(f10965,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3448]) ).

fof(f10966,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f311]) ).

fof(f10967,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f345]) ).

fof(f10968,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f355]) ).

fof(f10969,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f385]) ).

fof(f10970,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f395]) ).

fof(f10971,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f281]) ).

fof(f10972,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f283]) ).

fof(f10973,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3426]) ).

fof(f10974,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3470]) ).

fof(f10975,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f315]) ).

fof(f10976,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f360]) ).

fof(f10977,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f365]) ).

fof(f10978,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f370]) ).

fof(f10979,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f375]) ).

fof(f10980,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f330]) ).

fof(f10981,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f335]) ).

fof(f10982,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f307]) ).

fof(f10983,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3382]) ).

fof(f10984,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1147]) ).

fof(f10985,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f4388]) ).

fof(f10986,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3230]) ).

fof(f10987,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3252]) ).

fof(f10988,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f7082]) ).

fof(f10989,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2451]) ).

fof(f10990,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2452]) ).

fof(f10991,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f2339]) ).

fof(f10992,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5826]) ).

fof(f10993,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5827]) ).

fof(f10994,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5862]) ).

fof(f10995,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5863]) ).

fof(f10996,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5864]) ).

fof(f10997,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f5865]) ).

fof(f10998,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6160]) ).

fof(f10999,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6161]) ).

fof(f11000,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6196]) ).

fof(f11001,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6197]) ).

fof(f11002,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6198]) ).

fof(f11003,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6199]) ).

fof(f11004,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f16(X1,a,cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3357]) ).

fof(f11005,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3473]) ).

fof(f11006,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3475]) ).

fof(f11007,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3488]) ).

fof(f11008,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f4364]) ).

fof(f11009,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3203]) ).

fof(f11010,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f3201]) ).

fof(f11011,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1159]) ).

fof(f11012,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f6698]) ).

fof(f11014,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f336,f1083]) ).

fof(f11017,plain,
    ( sQ317_spl
    | sQ101_spl ),
    inference(split_clause,[status(thm)],[f11012,f4488,f6885]) ).

fof(f11019,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f119]) ).

fof(f11020,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2011]) ).

fof(f11021,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2012]) ).

fof(f11022,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2153]) ).

fof(f11023,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2154]) ).

fof(f11024,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2299]) ).

fof(f11025,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2300]) ).

fof(f11026,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f522]) ).

fof(f11027,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f523]) ).

fof(f11028,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f530]) ).

fof(f11029,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f531]) ).

fof(f11030,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f532]) ).

fof(f11031,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f533]) ).

fof(f11032,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f572]) ).

fof(f11033,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f573]) ).

fof(f11034,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f580]) ).

fof(f11035,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f581]) ).

fof(f11036,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f582]) ).

fof(f11037,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f583]) ).

fof(f11038,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1609]) ).

fof(f11039,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1610]) ).

fof(f11040,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1873]) ).

fof(f11041,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1874]) ).

fof(f11042,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f448]) ).

fof(f11043,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f449]) ).

fof(f11044,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f456]) ).

fof(f11045,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f457]) ).

fof(f11046,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f458]) ).

fof(f11047,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f459]) ).

fof(f11048,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2537]) ).

fof(f11049,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2538]) ).

fof(f11050,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2565]) ).

fof(f11051,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2569]) ).

fof(f11052,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2598]) ).

fof(f11053,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2599]) ).

fof(f11054,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3214]) ).

fof(f11055,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3236]) ).

fof(f11056,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2486]) ).

fof(f11057,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2897]) ).

fof(f11058,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2898]) ).

fof(f11059,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2829]) ).

fof(f11060,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2830]) ).

fof(f11061,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2861]) ).

fof(f11062,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2865]) ).

fof(f11063,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3213]) ).

fof(f11064,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3235]) ).

fof(f11065,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2776]) ).

fof(f11066,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1483]) ).

fof(f11067,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1484]) ).

fof(f11068,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1739]) ).

fof(f11069,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1740]) ).

fof(f11070,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f410]) ).

fof(f11071,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f411]) ).

fof(f11072,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f418]) ).

fof(f11073,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f419]) ).

fof(f11074,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f420]) ).

fof(f11075,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f421]) ).

fof(f11076,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3022]) ).

fof(f11077,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3023]) ).

fof(f11078,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2954]) ).

fof(f11079,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2955]) ).

fof(f11080,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2986]) ).

fof(f11081,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2990]) ).

fof(f11082,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3212]) ).

fof(f11083,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3234]) ).

fof(f11084,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2901]) ).

fof(f11085,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f318]) ).

fof(f11086,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1145]) ).

fof(f11087,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2747]) ).

fof(f11088,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2766]) ).

fof(f11089,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2633]) ).

fof(f11090,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2652]) ).

fof(f11091,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2671]) ).

fof(f11092,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2709]) ).

fof(f11093,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f320]) ).

fof(f11094,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f321]) ).

fof(f11095,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2614]) ).

fof(f11096,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2690]) ).

fof(f11097,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2728]) ).

fof(f11098,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f324]) ).

fof(f11099,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f325]) ).

fof(f11100,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f326]) ).

fof(f11101,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f327]) ).

fof(f11104,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f538]) ).

fof(f11105,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f546]) ).

fof(f11106,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f589]) ).

fof(f11107,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f598]) ).

fof(f11108,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f484]) ).

fof(f11109,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f491]) ).

fof(f11110,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3309]) ).

fof(f11111,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3331]) ).

fof(f11112,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f424]) ).

fof(f11113,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f477]) ).

fof(f11114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3353]) ).

fof(f11115,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5889]) ).

fof(f11116,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5918]) ).

fof(f11117,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6224]) ).

fof(f11118,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6254]) ).

fof(f11119,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f339]) ).

fof(f11120,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f349]) ).

fof(f11121,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f379]) ).

fof(f11122,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f389]) ).

fof(f11123,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f289]) ).

fof(f11124,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f292]) ).

fof(f11125,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3403]) ).

fof(f11126,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3447]) ).

fof(f11127,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f310]) ).

fof(f11128,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f344]) ).

fof(f11129,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f354]) ).

fof(f11130,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f384]) ).

fof(f11131,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f394]) ).

fof(f11132,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f285]) ).

fof(f11133,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f286]) ).

fof(f11134,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3425]) ).

fof(f11135,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3469]) ).

fof(f11136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f314]) ).

fof(f11137,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f359]) ).

fof(f11138,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f364]) ).

fof(f11139,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f369]) ).

fof(f11140,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f374]) ).

fof(f11141,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f329]) ).

fof(f11142,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f334]) ).

fof(f11143,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f306]) ).

fof(f11144,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3381]) ).

fof(f11145,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1146]) ).

fof(f11146,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f4387]) ).

fof(f11147,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3229]) ).

fof(f11148,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3251]) ).

fof(f11151,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f539]) ).

fof(f11152,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f547]) ).

fof(f11153,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f590]) ).

fof(f11154,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f599]) ).

fof(f11155,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f485]) ).

fof(f11156,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f492]) ).

fof(f11157,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3310]) ).

fof(f11158,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3332]) ).

fof(f11159,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f425]) ).

fof(f11160,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f478]) ).

fof(f11161,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3354]) ).

fof(f11162,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5890]) ).

fof(f11163,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5919]) ).

fof(f11164,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6225]) ).

fof(f11165,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6255]) ).

fof(f11166,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f340]) ).

fof(f11167,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f350]) ).

fof(f11168,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f380]) ).

fof(f11169,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f390]) ).

fof(f11170,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f290]) ).

fof(f11171,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f293]) ).

fof(f11172,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3404]) ).

fof(f11173,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3448]) ).

fof(f11174,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f311]) ).

fof(f11175,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f345]) ).

fof(f11176,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f355]) ).

fof(f11177,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f385]) ).

fof(f11178,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f395]) ).

fof(f11179,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f281]) ).

fof(f11180,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f283]) ).

fof(f11181,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3426]) ).

fof(f11182,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3470]) ).

fof(f11183,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f315]) ).

fof(f11184,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f360]) ).

fof(f11185,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f365]) ).

fof(f11186,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f370]) ).

fof(f11187,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f375]) ).

fof(f11188,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f330]) ).

fof(f11189,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f335]) ).

fof(f11190,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f307]) ).

fof(f11191,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3382]) ).

fof(f11192,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1147]) ).

fof(f11193,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f4388]) ).

fof(f11194,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3230]) ).

fof(f11195,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3252]) ).

fof(f11196,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f7082]) ).

fof(f11197,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2451]) ).

fof(f11198,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2452]) ).

fof(f11199,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f2339]) ).

fof(f11200,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5826]) ).

fof(f11201,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5827]) ).

fof(f11202,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5862]) ).

fof(f11203,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5863]) ).

fof(f11204,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5864]) ).

fof(f11205,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f5865]) ).

fof(f11206,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6160]) ).

fof(f11207,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6161]) ).

fof(f11208,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6196]) ).

fof(f11209,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6197]) ).

fof(f11210,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6198]) ).

fof(f11211,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6199]) ).

fof(f11212,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f16(X1,a,cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3357]) ).

fof(f11213,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3473]) ).

fof(f11214,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3475]) ).

fof(f11215,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3488]) ).

fof(f11216,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f4364]) ).

fof(f11217,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3203]) ).

fof(f11218,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f3201]) ).

fof(f11219,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1159]) ).

fof(f11220,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f6698]) ).

fof(f11222,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f331,f1083]) ).

fof(f11225,plain,
    ( sQ317_spl
    | sQ102_spl ),
    inference(split_clause,[status(thm)],[f11220,f4492,f6885]) ).

fof(f11227,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f331]) ).

fof(f11228,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f336]) ).

fof(f11229,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f277]) ).

fof(f11230,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f278]) ).

fof(f11231,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f276]) ).

fof(f11232,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f3231]) ).

fof(f11233,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f3253]) ).

fof(f11234,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f3035]) ).

fof(f11235,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f308]) ).

fof(f11236,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f1148]) ).

fof(f11237,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f116]) ).

fof(f11238,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f4407]) ).

fof(f11240,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f323,f3199]) ).

fof(f11241,plain,
    ( sQ369_spl
    | sQ183_spl ),
    inference(split_clause,[status(thm)],[f11238,f4980,f7936]) ).

fof(f11243,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f119]) ).

fof(f11244,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2011]) ).

fof(f11245,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2012]) ).

fof(f11246,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2153]) ).

fof(f11247,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2154]) ).

fof(f11248,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2299]) ).

fof(f11249,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2300]) ).

fof(f11250,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f522]) ).

fof(f11251,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f523]) ).

fof(f11252,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f530]) ).

fof(f11253,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f531]) ).

fof(f11254,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f532]) ).

fof(f11255,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f533]) ).

fof(f11256,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f572]) ).

fof(f11257,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f573]) ).

fof(f11258,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f580]) ).

fof(f11259,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f581]) ).

fof(f11260,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f582]) ).

fof(f11261,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f583]) ).

fof(f11262,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1609]) ).

fof(f11263,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1610]) ).

fof(f11264,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1873]) ).

fof(f11265,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1874]) ).

fof(f11266,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f448]) ).

fof(f11267,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f449]) ).

fof(f11268,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f456]) ).

fof(f11269,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f457]) ).

fof(f11270,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f458]) ).

fof(f11271,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f459]) ).

fof(f11272,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2537]) ).

fof(f11273,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2538]) ).

fof(f11274,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2565]) ).

fof(f11275,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2569]) ).

fof(f11276,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2598]) ).

fof(f11277,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2599]) ).

fof(f11278,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3214]) ).

fof(f11279,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3236]) ).

fof(f11280,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2486]) ).

fof(f11281,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2897]) ).

fof(f11282,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2898]) ).

fof(f11283,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2829]) ).

fof(f11284,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2830]) ).

fof(f11285,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2861]) ).

fof(f11286,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2865]) ).

fof(f11287,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3213]) ).

fof(f11288,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3235]) ).

fof(f11289,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2776]) ).

fof(f11290,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1483]) ).

fof(f11291,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1484]) ).

fof(f11292,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1739]) ).

fof(f11293,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1740]) ).

fof(f11294,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f410]) ).

fof(f11295,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f411]) ).

fof(f11296,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f418]) ).

fof(f11297,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f419]) ).

fof(f11298,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f420]) ).

fof(f11299,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f421]) ).

fof(f11300,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3022]) ).

fof(f11301,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3023]) ).

fof(f11302,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2954]) ).

fof(f11303,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2955]) ).

fof(f11304,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2986]) ).

fof(f11305,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2990]) ).

fof(f11306,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3212]) ).

fof(f11307,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3234]) ).

fof(f11308,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2901]) ).

fof(f11309,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f318]) ).

fof(f11310,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1145]) ).

fof(f11311,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2747]) ).

fof(f11312,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2766]) ).

fof(f11313,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2633]) ).

fof(f11314,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2652]) ).

fof(f11315,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2671]) ).

fof(f11316,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2709]) ).

fof(f11317,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f320]) ).

fof(f11318,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f321]) ).

fof(f11319,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f323]) ).

fof(f11320,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2614]) ).

fof(f11321,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2690]) ).

fof(f11322,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2728]) ).

fof(f11323,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f324]) ).

fof(f11324,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f325]) ).

fof(f11325,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f326]) ).

fof(f11326,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f327]) ).

fof(f11329,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f538]) ).

fof(f11330,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f546]) ).

fof(f11331,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f589]) ).

fof(f11332,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f598]) ).

fof(f11333,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f484]) ).

fof(f11334,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f491]) ).

fof(f11335,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3309]) ).

fof(f11336,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3331]) ).

fof(f11337,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f424]) ).

fof(f11338,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f477]) ).

fof(f11339,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3353]) ).

fof(f11340,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5889]) ).

fof(f11341,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5918]) ).

fof(f11342,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6224]) ).

fof(f11343,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6254]) ).

fof(f11344,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f339]) ).

fof(f11345,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f349]) ).

fof(f11346,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f379]) ).

fof(f11347,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f389]) ).

fof(f11348,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f289]) ).

fof(f11349,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f292]) ).

fof(f11350,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3403]) ).

fof(f11351,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3447]) ).

fof(f11352,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f310]) ).

fof(f11353,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f344]) ).

fof(f11354,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f354]) ).

fof(f11355,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f384]) ).

fof(f11356,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f394]) ).

fof(f11357,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f285]) ).

fof(f11358,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f286]) ).

fof(f11359,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3425]) ).

fof(f11360,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3469]) ).

fof(f11361,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f314]) ).

fof(f11362,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f359]) ).

fof(f11363,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f364]) ).

fof(f11364,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f369]) ).

fof(f11365,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f374]) ).

fof(f11366,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f329]) ).

fof(f11367,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f334]) ).

fof(f11368,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f306]) ).

fof(f11369,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3381]) ).

fof(f11370,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1146]) ).

fof(f11371,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f4387]) ).

fof(f11372,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3229]) ).

fof(f11373,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3251]) ).

fof(f11376,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f539]) ).

fof(f11377,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f547]) ).

fof(f11378,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f590]) ).

fof(f11379,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f599]) ).

fof(f11380,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f485]) ).

fof(f11381,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f492]) ).

fof(f11382,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3310]) ).

fof(f11383,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3332]) ).

fof(f11384,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f425]) ).

fof(f11385,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f478]) ).

fof(f11386,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3354]) ).

fof(f11387,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5890]) ).

fof(f11388,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5919]) ).

fof(f11389,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6225]) ).

fof(f11390,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6255]) ).

fof(f11391,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f340]) ).

fof(f11392,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f350]) ).

fof(f11393,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f380]) ).

fof(f11394,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f390]) ).

fof(f11395,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f290]) ).

fof(f11396,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f293]) ).

fof(f11397,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3404]) ).

fof(f11398,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3448]) ).

fof(f11399,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f311]) ).

fof(f11400,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f345]) ).

fof(f11401,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f355]) ).

fof(f11402,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f385]) ).

fof(f11403,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f395]) ).

fof(f11404,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f281]) ).

fof(f11405,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f283]) ).

fof(f11406,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3426]) ).

fof(f11407,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3470]) ).

fof(f11408,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f315]) ).

fof(f11409,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f360]) ).

fof(f11410,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f365]) ).

fof(f11411,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f370]) ).

fof(f11412,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f375]) ).

fof(f11413,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f330]) ).

fof(f11414,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f335]) ).

fof(f11415,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f307]) ).

fof(f11416,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3382]) ).

fof(f11417,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1147]) ).

fof(f11418,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f4388]) ).

fof(f11419,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3230]) ).

fof(f11420,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3252]) ).

fof(f11421,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f7082]) ).

fof(f11422,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2451]) ).

fof(f11423,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2452]) ).

fof(f11424,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f2339]) ).

fof(f11425,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5826]) ).

fof(f11426,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5827]) ).

fof(f11427,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5862]) ).

fof(f11428,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5863]) ).

fof(f11429,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5864]) ).

fof(f11430,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f5865]) ).

fof(f11431,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6160]) ).

fof(f11432,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6161]) ).

fof(f11433,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6196]) ).

fof(f11434,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6197]) ).

fof(f11435,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6198]) ).

fof(f11436,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6199]) ).

fof(f11437,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f16(X1,a,cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3357]) ).

fof(f11438,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3473]) ).

fof(f11439,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3475]) ).

fof(f11440,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3488]) ).

fof(f11441,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f4364]) ).

fof(f11442,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3203]) ).

fof(f11443,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f3201]) ).

fof(f11444,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1159]) ).

fof(f11445,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f6698]) ).

fof(f11447,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f316,f1083]) ).

fof(f11450,plain,
    ( sQ317_spl
    | sQ103_spl ),
    inference(split_clause,[status(thm)],[f11445,f4496,f6885]) ).

fof(f11452,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f2(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f119]) ).

fof(f11453,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2011]) ).

fof(f11454,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2012]) ).

fof(f11455,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2153]) ).

fof(f11456,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2154]) ).

fof(f11457,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2299]) ).

fof(f11458,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2300]) ).

fof(f11459,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f522]) ).

fof(f11460,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f523]) ).

fof(f11461,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f530]) ).

fof(f11462,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f531]) ).

fof(f11463,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f532]) ).

fof(f11464,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f533]) ).

fof(f11465,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f572]) ).

fof(f11466,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f573]) ).

fof(f11467,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f580]) ).

fof(f11468,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f581]) ).

fof(f11469,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f582]) ).

fof(f11470,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f583]) ).

fof(f11471,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1609]) ).

fof(f11472,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1610]) ).

fof(f11473,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1873]) ).

fof(f11474,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1874]) ).

fof(f11475,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f448]) ).

fof(f11476,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f449]) ).

fof(f11477,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f456]) ).

fof(f11478,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f457]) ).

fof(f11479,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f458]) ).

fof(f11480,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f459]) ).

fof(f11481,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2537]) ).

fof(f11482,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2538]) ).

fof(f11483,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2565]) ).

fof(f11484,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2569]) ).

fof(f11485,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2598]) ).

fof(f11486,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2599]) ).

fof(f11487,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3214]) ).

fof(f11488,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3236]) ).

fof(f11489,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2486]) ).

fof(f11490,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2897]) ).

fof(f11491,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2898]) ).

fof(f11492,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2829]) ).

fof(f11493,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2830]) ).

fof(f11494,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2861]) ).

fof(f11495,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2865]) ).

fof(f11496,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3213]) ).

fof(f11497,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3235]) ).

fof(f11498,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2776]) ).

fof(f11499,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1483]) ).

fof(f11500,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1484]) ).

fof(f11501,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1739]) ).

fof(f11502,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1740]) ).

fof(f11503,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f410]) ).

fof(f11504,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f411]) ).

fof(f11505,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f418]) ).

fof(f11506,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f419]) ).

fof(f11507,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f420]) ).

fof(f11508,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f421]) ).

fof(f11509,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3022]) ).

fof(f11510,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3023]) ).

fof(f11511,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2954]) ).

fof(f11512,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2955]) ).

fof(f11513,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2986]) ).

fof(f11514,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2990]) ).

fof(f11515,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3212]) ).

fof(f11516,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3234]) ).

fof(f11517,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2901]) ).

fof(f11518,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f318]) ).

fof(f11519,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1145]) ).

fof(f11520,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2747]) ).

fof(f11521,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2766]) ).

fof(f11522,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2633]) ).

fof(f11523,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2652]) ).

fof(f11524,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2671]) ).

fof(f11525,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2709]) ).

fof(f11526,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f320]) ).

fof(f11527,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f321]) ).

fof(f11528,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f323]) ).

fof(f11529,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2614]) ).

fof(f11530,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2690]) ).

fof(f11531,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2728]) ).

fof(f11532,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f324]) ).

fof(f11533,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f325]) ).

fof(f11534,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f326]) ).

fof(f11535,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f327]) ).

fof(f11538,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f538]) ).

fof(f11539,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f546]) ).

fof(f11540,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f589]) ).

fof(f11541,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f598]) ).

fof(f11542,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f484]) ).

fof(f11543,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f491]) ).

fof(f11544,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3309]) ).

fof(f11545,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3331]) ).

fof(f11546,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f424]) ).

fof(f11547,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f477]) ).

fof(f11548,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3353]) ).

fof(f11549,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5889]) ).

fof(f11550,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5918]) ).

fof(f11551,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6224]) ).

fof(f11552,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6254]) ).

fof(f11553,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f339]) ).

fof(f11554,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f349]) ).

fof(f11555,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f379]) ).

fof(f11556,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f389]) ).

fof(f11557,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f289]) ).

fof(f11558,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f292]) ).

fof(f11559,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3403]) ).

fof(f11560,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3447]) ).

fof(f11561,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f310]) ).

fof(f11562,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f344]) ).

fof(f11563,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f354]) ).

fof(f11564,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f384]) ).

fof(f11565,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f394]) ).

fof(f11566,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f285]) ).

fof(f11567,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f286]) ).

fof(f11568,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3425]) ).

fof(f11569,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3469]) ).

fof(f11570,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f314]) ).

fof(f11571,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f359]) ).

fof(f11572,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f364]) ).

fof(f11573,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f369]) ).

fof(f11574,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f374]) ).

fof(f11575,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f329]) ).

fof(f11576,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f334]) ).

fof(f11577,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f306]) ).

fof(f11578,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3381]) ).

fof(f11579,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1146]) ).

fof(f11580,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f4387]) ).

fof(f11581,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3229]) ).

fof(f11582,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3251]) ).

fof(f11585,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f539]) ).

fof(f11586,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f547]) ).

fof(f11587,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f590]) ).

fof(f11588,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f599]) ).

fof(f11589,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f485]) ).

fof(f11590,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f492]) ).

fof(f11591,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3310]) ).

fof(f11592,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3332]) ).

fof(f11593,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f425]) ).

fof(f11594,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f478]) ).

fof(f11595,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3354]) ).

fof(f11596,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5890]) ).

fof(f11597,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5919]) ).

fof(f11598,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6225]) ).

fof(f11599,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6255]) ).

fof(f11600,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f340]) ).

fof(f11601,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f350]) ).

fof(f11602,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f380]) ).

fof(f11603,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f390]) ).

fof(f11604,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f290]) ).

fof(f11605,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f293]) ).

fof(f11606,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3404]) ).

fof(f11607,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3448]) ).

fof(f11608,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f311]) ).

fof(f11609,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f345]) ).

fof(f11610,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f355]) ).

fof(f11611,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f385]) ).

fof(f11612,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f395]) ).

fof(f11613,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f281]) ).

fof(f11614,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f283]) ).

fof(f11615,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3426]) ).

fof(f11616,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3470]) ).

fof(f11617,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f315]) ).

fof(f11618,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f360]) ).

fof(f11619,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f365]) ).

fof(f11620,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f370]) ).

fof(f11621,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f375]) ).

fof(f11622,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f330]) ).

fof(f11623,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f335]) ).

fof(f11624,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f307]) ).

fof(f11625,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3382]) ).

fof(f11626,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1147]) ).

fof(f11627,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f4388]) ).

fof(f11628,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3230]) ).

fof(f11629,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3252]) ).

fof(f11630,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f7082]) ).

fof(f11631,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2451]) ).

fof(f11632,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2452]) ).

fof(f11633,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f2339]) ).

fof(f11634,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5826]) ).

fof(f11635,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5827]) ).

fof(f11636,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5862]) ).

fof(f11637,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5863]) ).

fof(f11638,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5864]) ).

fof(f11639,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f5865]) ).

fof(f11640,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6160]) ).

fof(f11641,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6161]) ).

fof(f11642,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6196]) ).

fof(f11643,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6197]) ).

fof(f11644,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6198]) ).

fof(f11645,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6199]) ).

fof(f11646,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f16(X1,a,cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3357]) ).

fof(f11647,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3473]) ).

fof(f11648,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3475]) ).

fof(f11649,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3488]) ).

fof(f11650,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f4364]) ).

fof(f11651,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3203]) ).

fof(f11652,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f3201]) ).

fof(f11653,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1159]) ).

fof(f11654,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f6698]) ).

fof(f11656,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f312,f1083]) ).

fof(f11659,plain,
    ( sQ317_spl
    | sQ104_spl ),
    inference(split_clause,[status(thm)],[f11654,f4500,f6885]) ).

fof(f11661,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f312]) ).

fof(f11662,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f316]) ).

fof(f11663,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f331]) ).

fof(f11664,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f336]) ).

fof(f11665,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f277]) ).

fof(f11666,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f278]) ).

fof(f11667,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f276]) ).

fof(f11668,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f3231]) ).

fof(f11669,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f3253]) ).

fof(f11670,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f3035]) ).

fof(f11671,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f308]) ).

fof(f11672,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f1148]) ).

fof(f11673,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f116]) ).

fof(f11674,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f4407]) ).

fof(f11675,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f4396]) ).

fof(f11676,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8538,f3199]) ).

fof(f11677,definition,
    ! [X0,X2] :
      ( sQ433_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).

fof(f11678,plain,
    ! [X0,X1] :
      ( ~ sQ433_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f11677]) ).

fof(f11680,plain,
    ( sQ369_spl
    | sQ433_spl ),
    inference(split_clause,[status(thm)],[f11674,f11677,f7936]) ).

fof(f11681,plain,
    ( sQ115_spl
    | sQ433_spl ),
    inference(split_clause,[status(thm)],[f11675,f11677,f4709]) ).

fof(f11682,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f312]) ).

fof(f11683,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f316]) ).

fof(f11684,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f331]) ).

fof(f11685,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f336]) ).

fof(f11686,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f277]) ).

fof(f11687,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f278]) ).

fof(f11688,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f276]) ).

fof(f11689,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f3231]) ).

fof(f11690,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f3253]) ).

fof(f11691,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f3035]) ).

fof(f11692,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f308]) ).

fof(f11693,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f1148]) ).

fof(f11694,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f116]) ).

fof(f11695,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f4407]) ).

fof(f11696,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f4396]) ).

fof(f11697,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8551,f3199]) ).

fof(f11698,definition,
    ! [X0,X2] :
      ( sQ434_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).

fof(f11699,plain,
    ! [X0,X1] :
      ( ~ sQ434_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f11698]) ).

fof(f11701,plain,
    ( sQ369_spl
    | sQ434_spl ),
    inference(split_clause,[status(thm)],[f11695,f11698,f7936]) ).

fof(f11702,plain,
    ( sQ115_spl
    | sQ434_spl ),
    inference(split_clause,[status(thm)],[f11696,f11698,f4709]) ).

fof(f11703,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f312]) ).

fof(f11704,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f316]) ).

fof(f11705,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f331]) ).

fof(f11706,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f336]) ).

fof(f11707,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f277]) ).

fof(f11708,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f278]) ).

fof(f11709,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f276]) ).

fof(f11710,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f3231]) ).

fof(f11711,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f3253]) ).

fof(f11712,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f3035]) ).

fof(f11713,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f308]) ).

fof(f11714,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f1148]) ).

fof(f11715,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f116]) ).

fof(f11716,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f4407]) ).

fof(f11717,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f4396]) ).

fof(f11718,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8564,f3199]) ).

fof(f11719,definition,
    ! [X0,X2] :
      ( sQ435_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).

fof(f11720,plain,
    ! [X0,X1] :
      ( ~ sQ435_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f11719]) ).

fof(f11722,plain,
    ( sQ369_spl
    | sQ435_spl ),
    inference(split_clause,[status(thm)],[f11716,f11719,f7936]) ).

fof(f11723,plain,
    ( sQ115_spl
    | sQ435_spl ),
    inference(split_clause,[status(thm)],[f11717,f11719,f4709]) ).

fof(f11724,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f312]) ).

fof(f11725,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f316]) ).

fof(f11726,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f331]) ).

fof(f11727,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f336]) ).

fof(f11728,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f277]) ).

fof(f11729,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f278]) ).

fof(f11730,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f276]) ).

fof(f11731,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f3231]) ).

fof(f11732,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f3253]) ).

fof(f11733,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f3035]) ).

fof(f11734,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f308]) ).

fof(f11735,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f1148]) ).

fof(f11736,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f116]) ).

fof(f11737,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f4407]) ).

fof(f11738,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f4396]) ).

fof(f11739,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f8577,f3199]) ).

fof(f11740,definition,
    ! [X0,X2] :
      ( sQ436_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).

fof(f11741,plain,
    ! [X0,X1] :
      ( ~ sQ436_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f11740]) ).

fof(f11743,plain,
    ( sQ369_spl
    | sQ436_spl ),
    inference(split_clause,[status(thm)],[f11737,f11740,f7936]) ).

fof(f11744,plain,
    ( sQ115_spl
    | sQ436_spl ),
    inference(split_clause,[status(thm)],[f11738,f11740,f4709]) ).

fof(f11745,plain,
    ! [X0] :
      ( ~ sQ428_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f11(X0,union_of_members(ct)),cx,ct) ),
    inference(resolution,[status(thm)],[f9558,f1084]) ).

fof(f11746,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct) ),
    inference(resolution,[status(thm)],[f9558,f4071]) ).

fof(f11747,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f11(X1,f1(ct,f11(X0,union_of_members(ct)))),cx,ct) ),
    inference(resolution,[status(thm)],[f9558,f165]) ).

fof(f11748,plain,
    ! [X0] :
      ( ~ sQ428_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f11(X0,union_of_members(ct)),cx,ct) ),
    inference(duplicate_literals_removal,[status(thm)],[f11745]) ).

fof(f11749,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct) ),
    inference(duplicate_literals_removal,[status(thm)],[f11746]) ).

fof(f11752,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f312]) ).

fof(f11753,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f316]) ).

fof(f11754,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f331]) ).

fof(f11755,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f336]) ).

fof(f11756,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f277]) ).

fof(f11757,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f278]) ).

fof(f11758,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct))))),X2),ct)
      | ~ element_of_collection(X2,ct)
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f276]) ).

fof(f11759,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,empty_set)),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f3231]) ).

fof(f11760,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,cx)),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f3253]) ).

fof(f11761,plain,
    ! [X0,X1] :
      ( open(f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct))))),cx,ct)
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f3035]) ).

fof(f11762,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f2(ct,X2),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f308]) ).

fof(f11763,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X1,f1(ct,f11(X0,union_of_members(ct)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6683,f1148]) ).

fof(f11764,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6683,f116]) ).

fof(f11767,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f6683,f3199]) ).

fof(f11768,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(empty_set,f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(resolution,[status(thm)],[f9374,f7116]) ).

fof(f11769,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | neighborhood(empty_set,f11(X0,empty_set),cx,ct) ),
    inference(resolution,[status(thm)],[f9374,f165]) ).

fof(f11770,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(cx,f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(resolution,[status(thm)],[f9378,f7114]) ).

fof(f11771,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(cx,f11(X0,cx),cx,ct) ),
    inference(resolution,[status(thm)],[f9378,f165]) ).

fof(f11773,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ64_spl
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f6891,f4399]) ).

fof(f11774,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ64_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f6891,f4395]) ).

fof(f11775,definition,
    ! [X0,X1] :
      ( sQ437_spl
    <=> element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).

fof(f11776,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f11775]) ).

fof(f11778,plain,
    ( ~ sQ64_spl
    | sQ368_spl
    | sQ437_spl ),
    inference(split_clause,[status(thm)],[f11773,f11775,f7926,f4248]) ).

fof(f11779,plain,
    ( ~ sQ64_spl
    | sQ109_spl
    | sQ437_spl ),
    inference(split_clause,[status(thm)],[f11774,f11775,f4685,f4248]) ).

fof(f11780,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3156,f201]) ).

fof(f11781,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3156,f184]) ).

fof(f11783,definition,
    ! [X0] :
      ( sQ438_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).

fof(f11784,plain,
    ! [X0] :
      ( ~ sQ438_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11783]) ).

fof(f11786,plain,
    ( ~ sQ13_spl
    | sQ438_spl ),
    inference(split_clause,[status(thm)],[f11780,f11783,f1367]) ).

fof(f11787,definition,
    ! [X0,X1] :
      ( sQ439_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).

fof(f11788,plain,
    ! [X0,X1] :
      ( ~ sQ439_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11787]) ).

fof(f11790,plain,
    ( ~ sQ13_spl
    | sQ439_spl ),
    inference(split_clause,[status(thm)],[f11781,f11787,f1367]) ).

fof(f11791,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3150,f201]) ).

fof(f11792,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3150,f184]) ).

fof(f11794,definition,
    ! [X0] :
      ( sQ440_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).

fof(f11795,plain,
    ! [X0] :
      ( ~ sQ440_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11794]) ).

fof(f11797,plain,
    ( ~ sQ13_spl
    | sQ440_spl ),
    inference(split_clause,[status(thm)],[f11791,f11794,f1367]) ).

fof(f11798,definition,
    ! [X0,X1] :
      ( sQ441_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).

fof(f11799,plain,
    ! [X0,X1] :
      ( ~ sQ441_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11798]) ).

fof(f11801,plain,
    ( ~ sQ13_spl
    | sQ441_spl ),
    inference(split_clause,[status(thm)],[f11792,f11798,f1367]) ).

fof(f11802,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3144,f201]) ).

fof(f11803,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3144,f184]) ).

fof(f11805,definition,
    ! [X0] :
      ( sQ442_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).

fof(f11806,plain,
    ! [X0] :
      ( ~ sQ442_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11805]) ).

fof(f11808,plain,
    ( ~ sQ13_spl
    | sQ442_spl ),
    inference(split_clause,[status(thm)],[f11802,f11805,f1367]) ).

fof(f11809,definition,
    ! [X0,X1] :
      ( sQ443_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).

fof(f11810,plain,
    ! [X0,X1] :
      ( ~ sQ443_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11809]) ).

fof(f11812,plain,
    ( ~ sQ13_spl
    | sQ443_spl ),
    inference(split_clause,[status(thm)],[f11803,f11809,f1367]) ).

fof(f11813,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3143,f201]) ).

fof(f11814,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3143,f184]) ).

fof(f11816,definition,
    ! [X0] :
      ( sQ444_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).

fof(f11817,plain,
    ! [X0] :
      ( ~ sQ444_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11816]) ).

fof(f11819,plain,
    ( ~ sQ13_spl
    | sQ444_spl ),
    inference(split_clause,[status(thm)],[f11813,f11816,f1367]) ).

fof(f11820,definition,
    ! [X0,X1] :
      ( sQ445_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X1)
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).

fof(f11821,plain,
    ! [X0,X1] :
      ( ~ sQ445_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11820]) ).

fof(f11823,plain,
    ( ~ sQ13_spl
    | sQ445_spl ),
    inference(split_clause,[status(thm)],[f11814,f11820,f1367]) ).

fof(f11824,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3117,f201]) ).

fof(f11825,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3117,f184]) ).

fof(f11827,definition,
    ! [X0] :
      ( sQ446_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).

fof(f11828,plain,
    ! [X0] :
      ( ~ sQ446_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11827]) ).

fof(f11830,plain,
    ( ~ sQ13_spl
    | sQ446_spl ),
    inference(split_clause,[status(thm)],[f11824,f11827,f1367]) ).

fof(f11831,definition,
    ! [X0,X1] :
      ( sQ447_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).

fof(f11832,plain,
    ! [X0,X1] :
      ( ~ sQ447_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11831]) ).

fof(f11834,plain,
    ( ~ sQ13_spl
    | sQ447_spl ),
    inference(split_clause,[status(thm)],[f11825,f11831,f1367]) ).

fof(f11835,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3116,f201]) ).

fof(f11836,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3116,f184]) ).

fof(f11838,definition,
    ! [X0] :
      ( sQ448_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).

fof(f11839,plain,
    ! [X0] :
      ( ~ sQ448_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11838]) ).

fof(f11841,plain,
    ( ~ sQ13_spl
    | sQ448_spl ),
    inference(split_clause,[status(thm)],[f11835,f11838,f1367]) ).

fof(f11842,definition,
    ! [X0,X1] :
      ( sQ449_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).

fof(f11843,plain,
    ! [X0,X1] :
      ( ~ sQ449_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11842]) ).

fof(f11845,plain,
    ( ~ sQ13_spl
    | sQ449_spl ),
    inference(split_clause,[status(thm)],[f11836,f11842,f1367]) ).

fof(f11846,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3110,f201]) ).

fof(f11847,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3110,f184]) ).

fof(f11849,definition,
    ! [X0] :
      ( sQ450_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).

fof(f11850,plain,
    ! [X0] :
      ( ~ sQ450_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11849]) ).

fof(f11852,plain,
    ( ~ sQ13_spl
    | sQ450_spl ),
    inference(split_clause,[status(thm)],[f11846,f11849,f1367]) ).

fof(f11853,definition,
    ! [X0,X1] :
      ( sQ451_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).

fof(f11854,plain,
    ! [X0,X1] :
      ( ~ sQ451_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11853]) ).

fof(f11856,plain,
    ( ~ sQ13_spl
    | sQ451_spl ),
    inference(split_clause,[status(thm)],[f11847,f11853,f1367]) ).

fof(f11857,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3109,f201]) ).

fof(f11858,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3109,f184]) ).

fof(f11860,definition,
    ! [X0] :
      ( sQ452_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).

fof(f11861,plain,
    ! [X0] :
      ( ~ sQ452_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11860]) ).

fof(f11863,plain,
    ( ~ sQ13_spl
    | sQ452_spl ),
    inference(split_clause,[status(thm)],[f11857,f11860,f1367]) ).

fof(f11864,definition,
    ! [X0,X1] :
      ( sQ453_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X1)
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).

fof(f11865,plain,
    ! [X0,X1] :
      ( ~ sQ453_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X1)
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11864]) ).

fof(f11867,plain,
    ( ~ sQ13_spl
    | sQ453_spl ),
    inference(split_clause,[status(thm)],[f11858,f11864,f1367]) ).

fof(f11868,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3057,f201]) ).

fof(f11869,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3057,f184]) ).

fof(f11871,definition,
    ! [X0] :
      ( sQ454_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).

fof(f11872,plain,
    ! [X0] :
      ( ~ sQ454_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11871]) ).

fof(f11874,plain,
    ( ~ sQ13_spl
    | sQ454_spl ),
    inference(split_clause,[status(thm)],[f11868,f11871,f1367]) ).

fof(f11875,definition,
    ! [X0,X1] :
      ( sQ455_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).

fof(f11876,plain,
    ! [X0,X1] :
      ( ~ sQ455_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11875]) ).

fof(f11878,plain,
    ( ~ sQ13_spl
    | sQ455_spl ),
    inference(split_clause,[status(thm)],[f11869,f11875,f1367]) ).

fof(f11879,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f3056,f201]) ).

fof(f11880,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f3056,f184]) ).

fof(f11882,definition,
    ! [X0] :
      ( sQ456_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).

fof(f11883,plain,
    ! [X0] :
      ( ~ sQ456_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11882]) ).

fof(f11885,plain,
    ( ~ sQ13_spl
    | sQ456_spl ),
    inference(split_clause,[status(thm)],[f11879,f11882,f1367]) ).

fof(f11886,definition,
    ! [X0,X1] :
      ( sQ457_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).

fof(f11887,plain,
    ! [X0,X1] :
      ( ~ sQ457_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11886]) ).

fof(f11889,plain,
    ( ~ sQ13_spl
    | sQ457_spl ),
    inference(split_clause,[status(thm)],[f11880,f11886,f1367]) ).

fof(f11891,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(empty_set,empty_set)),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f303,f165]) ).

fof(f11898,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f8537,f201]) ).

fof(f11899,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f8537,f184]) ).

fof(f11901,definition,
    ! [X0] :
      ( sQ458_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).

fof(f11902,plain,
    ! [X0] :
      ( ~ sQ458_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11901]) ).

fof(f11904,plain,
    ( ~ sQ13_spl
    | sQ458_spl ),
    inference(split_clause,[status(thm)],[f11898,f11901,f1367]) ).

fof(f11905,definition,
    ! [X0,X1] :
      ( sQ459_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).

fof(f11906,plain,
    ! [X0,X1] :
      ( ~ sQ459_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11905]) ).

fof(f11908,plain,
    ( ~ sQ13_spl
    | sQ459_spl ),
    inference(split_clause,[status(thm)],[f11899,f11905,f1367]) ).

fof(f11909,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f8550,f201]) ).

fof(f11910,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f8550,f184]) ).

fof(f11912,definition,
    ! [X0] :
      ( sQ460_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).

fof(f11913,plain,
    ! [X0] :
      ( ~ sQ460_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11912]) ).

fof(f11915,plain,
    ( ~ sQ13_spl
    | sQ460_spl ),
    inference(split_clause,[status(thm)],[f11909,f11912,f1367]) ).

fof(f11916,definition,
    ! [X0,X1] :
      ( sQ461_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).

fof(f11917,plain,
    ! [X0,X1] :
      ( ~ sQ461_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11916]) ).

fof(f11919,plain,
    ( ~ sQ13_spl
    | sQ461_spl ),
    inference(split_clause,[status(thm)],[f11910,f11916,f1367]) ).

fof(f11920,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f8563,f201]) ).

fof(f11921,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f8563,f184]) ).

fof(f11923,definition,
    ! [X0] :
      ( sQ462_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).

fof(f11924,plain,
    ! [X0] :
      ( ~ sQ462_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11923]) ).

fof(f11926,plain,
    ( ~ sQ13_spl
    | sQ462_spl ),
    inference(split_clause,[status(thm)],[f11920,f11923,f1367]) ).

fof(f11927,definition,
    ! [X0,X1] :
      ( sQ463_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).

fof(f11928,plain,
    ! [X0,X1] :
      ( ~ sQ463_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11927]) ).

fof(f11930,plain,
    ( ~ sQ13_spl
    | sQ463_spl ),
    inference(split_clause,[status(thm)],[f11921,f11927,f1367]) ).

fof(f11931,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f8576,f201]) ).

fof(f11932,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f8576,f184]) ).

fof(f11934,definition,
    ! [X0] :
      ( sQ464_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).

fof(f11935,plain,
    ! [X0] :
      ( ~ sQ464_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f11934]) ).

fof(f11937,plain,
    ( ~ sQ13_spl
    | sQ464_spl ),
    inference(split_clause,[status(thm)],[f11931,f11934,f1367]) ).

fof(f11938,definition,
    ! [X0,X1] :
      ( sQ465_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).

fof(f11939,plain,
    ! [X0,X1] :
      ( ~ sQ465_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f11938]) ).

fof(f11941,plain,
    ( ~ sQ13_spl
    | sQ465_spl ),
    inference(split_clause,[status(thm)],[f11932,f11938,f1367]) ).

fof(f11942,plain,
    ! [X0,X1,X2] :
      ( ~ open_covering(X2,X0,X1)
      | ~ subset_collections(X2,f24(X0,X1))
      | ~ finite(X2)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f264,f252]) ).

fof(f11943,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | open(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X1,X2) ),
    inference(resolution,[status(thm)],[f182,f165]) ).

fof(f11944,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | open(empty_set,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11769,f197]) ).

fof(f11947,definition,
    ! [X0] :
      ( sQ466_spl
    <=> element_of_collection(empty_set,top_of_basis(X0)) ),
    introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).

fof(f11948,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f11947]) ).

fof(f11950,definition,
    ( sQ467_spl
  <=> open(empty_set,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).

fof(f11953,plain,
    ( ~ sQ382_spl
    | sQ467_spl
    | sQ466_spl ),
    inference(split_clause,[status(thm)],[f11944,f11947,f11950,f9373]) ).

fof(f11955,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | open(cx,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11771,f197]) ).

fof(f11956,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | topological_space(cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11771,f195]) ).

fof(f11958,definition,
    ! [X0] :
      ( sQ468_spl
    <=> element_of_collection(cx,top_of_basis(X0)) ),
    introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).

fof(f11959,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f11958]) ).

fof(f11961,definition,
    ( sQ469_spl
  <=> open(cx,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).

fof(f11964,plain,
    ( ~ sQ383_spl
    | sQ469_spl
    | sQ468_spl ),
    inference(split_clause,[status(thm)],[f11955,f11958,f11961,f9377]) ).

fof(f11965,plain,
    ( ~ sQ383_spl
    | sQ13_spl
    | sQ468_spl ),
    inference(split_clause,[status(thm)],[f11956,f11958,f1367,f9377]) ).

fof(f11966,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | open(empty_set,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11768,f197]) ).

fof(f11969,definition,
    ! [X0] :
      ( sQ470_spl
    <=> element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).

fof(f11970,plain,
    ! [X0] :
      ( ~ sQ470_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f11969]) ).

fof(f11972,plain,
    ( ~ sQ382_spl
    | sQ467_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f11966,f11969,f11950,f9373]) ).

fof(f11974,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | open(cx,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11770,f197]) ).

fof(f11977,plain,
    ( ~ sQ383_spl
    | sQ469_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f11974,f11969,f11961,f9377]) ).

fof(f11979,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11891,f114]) ).

fof(f11980,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_sets(empty_set,empty_set)),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11891,f113]) ).

fof(f11981,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f312]) ).

fof(f11982,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f316]) ).

fof(f11983,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f331]) ).

fof(f11984,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f336]) ).

fof(f11985,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f277]) ).

fof(f11986,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f278]) ).

fof(f11987,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f276]) ).

fof(f11988,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f3231]) ).

fof(f11989,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f3253]) ).

fof(f11990,plain,
    ! [X0] :
      ( open(f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))),cx,ct)
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f3035]) ).

fof(f11991,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f308]) ).

fof(f11992,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f1148]) ).

fof(f11993,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f116]) ).

fof(f11994,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f4407]) ).

fof(f11995,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f4396]) ).

fof(f11996,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11979,f3199]) ).

fof(f11997,definition,
    ! [X0,X2] :
      ( sQ471_spl
    <=> ( element_of_set(X2,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
        | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).

fof(f11998,plain,
    ! [X0,X1] :
      ( ~ sQ471_spl
      | element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f11997]) ).

fof(f12000,plain,
    ( sQ369_spl
    | sQ471_spl ),
    inference(split_clause,[status(thm)],[f11994,f11997,f7936]) ).

fof(f12001,plain,
    ( sQ115_spl
    | sQ471_spl ),
    inference(split_clause,[status(thm)],[f11995,f11997,f4709]) ).

fof(f12002,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6651,f201]) ).

fof(f12003,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6651,f184]) ).

fof(f12005,definition,
    ! [X0,X1] :
      ( sQ472_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X1,cx,ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).

fof(f12006,plain,
    ! [X0,X1] :
      ( ~ sQ472_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12005]) ).

fof(f12008,plain,
    ( ~ sQ13_spl
    | sQ472_spl ),
    inference(split_clause,[status(thm)],[f12002,f12005,f1367]) ).

fof(f12009,definition,
    ! [X0,X1,X2] :
      ( sQ473_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).

fof(f12010,plain,
    ! [X0,X1,X2] :
      ( ~ sQ473_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,cx)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12009]) ).

fof(f12012,plain,
    ( ~ sQ13_spl
    | sQ473_spl ),
    inference(split_clause,[status(thm)],[f12003,f12009,f1367]) ).

fof(f12013,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6621,f201]) ).

fof(f12014,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6621,f184]) ).

fof(f12016,definition,
    ! [X0,X1] :
      ( sQ474_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1,cx,ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).

fof(f12017,plain,
    ! [X0,X1] :
      ( ~ sQ474_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12016]) ).

fof(f12019,plain,
    ( ~ sQ13_spl
    | sQ474_spl ),
    inference(split_clause,[status(thm)],[f12013,f12016,f1367]) ).

fof(f12020,definition,
    ! [X0,X1,X2] :
      ( sQ475_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).

fof(f12021,plain,
    ! [X0,X1,X2] :
      ( ~ sQ475_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12020]) ).

fof(f12023,plain,
    ( ~ sQ13_spl
    | sQ475_spl ),
    inference(split_clause,[status(thm)],[f12014,f12020,f1367]) ).

fof(f12024,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6591,f201]) ).

fof(f12025,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6591,f184]) ).

fof(f12027,definition,
    ! [X0,X1] :
      ( sQ476_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1,cx,ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).

fof(f12028,plain,
    ! [X0,X1] :
      ( ~ sQ476_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12027]) ).

fof(f12030,plain,
    ( ~ sQ13_spl
    | sQ476_spl ),
    inference(split_clause,[status(thm)],[f12024,f12027,f1367]) ).

fof(f12031,definition,
    ! [X0,X1,X2] :
      ( sQ477_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).

fof(f12032,plain,
    ! [X0,X1,X2] :
      ( ~ sQ477_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,cx)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12031]) ).

fof(f12034,plain,
    ( ~ sQ13_spl
    | sQ477_spl ),
    inference(split_clause,[status(thm)],[f12025,f12031,f1367]) ).

fof(f12035,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6561,f201]) ).

fof(f12036,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6561,f184]) ).

fof(f12038,definition,
    ! [X0,X1] :
      ( sQ478_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).

fof(f12039,plain,
    ! [X0,X1] :
      ( ~ sQ478_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12038]) ).

fof(f12041,plain,
    ( ~ sQ13_spl
    | sQ478_spl ),
    inference(split_clause,[status(thm)],[f12035,f12038,f1367]) ).

fof(f12042,definition,
    ! [X0,X1,X2] :
      ( sQ479_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).

fof(f12043,plain,
    ! [X0,X1,X2] :
      ( ~ sQ479_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12042]) ).

fof(f12045,plain,
    ( ~ sQ13_spl
    | sQ479_spl ),
    inference(split_clause,[status(thm)],[f12036,f12042,f1367]) ).

fof(f12046,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6531,f201]) ).

fof(f12047,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6531,f184]) ).

fof(f12049,definition,
    ! [X0,X1] :
      ( sQ480_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).

fof(f12050,plain,
    ! [X0,X1] :
      ( ~ sQ480_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12049]) ).

fof(f12052,plain,
    ( ~ sQ13_spl
    | sQ480_spl ),
    inference(split_clause,[status(thm)],[f12046,f12049,f1367]) ).

fof(f12053,definition,
    ! [X0,X1,X2] :
      ( sQ481_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).

fof(f12054,plain,
    ! [X0,X1,X2] :
      ( ~ sQ481_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12053]) ).

fof(f12056,plain,
    ( ~ sQ13_spl
    | sQ481_spl ),
    inference(split_clause,[status(thm)],[f12047,f12053,f1367]) ).

fof(f12057,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | open(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6685,f197]) ).

fof(f12058,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | topological_space(cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6685,f195]) ).

fof(f12059,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_set(f11(X0,intersection_of_members(ct)),f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6685,f199]) ).

fof(f12060,definition,
    ! [X0,X1] :
      ( sQ482_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).

fof(f12061,plain,
    ! [X0,X1] :
      ( ~ sQ482_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12060]) ).

fof(f12063,plain,
    ( ~ sQ0_spl
    | sQ13_spl
    | sQ482_spl ),
    inference(split_clause,[status(thm)],[f12058,f12060,f1367,f1093]) ).

fof(f12064,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | open(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),cx,ct)
      | element_of_collection(cx,top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6686,f197]) ).

fof(f12065,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | topological_space(cx,ct)
      | element_of_collection(cx,top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6686,f195]) ).

fof(f12066,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_set(f11(X0,intersection_of_members(ct)),f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)))
      | element_of_collection(cx,top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6686,f199]) ).

fof(f12067,definition,
    ! [X0,X1] :
      ( sQ483_spl
    <=> ( element_of_collection(cx,top_of_basis(X1))
        | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).

fof(f12068,plain,
    ! [X0,X1] :
      ( ~ sQ483_spl
      | element_of_collection(cx,top_of_basis(X1))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12067]) ).

fof(f12070,plain,
    ( ~ sQ0_spl
    | sQ13_spl
    | sQ483_spl ),
    inference(split_clause,[status(thm)],[f12065,f12067,f1367,f1093]) ).

fof(f12071,plain,
    ! [X0,X1] :
      ( ~ sQ120_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4729,f177]) ).

fof(f12072,plain,
    ! [X0,X1] :
      ( ~ sQ121_spl
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4733,f179]) ).

fof(f12073,plain,
    ! [X0,X1] :
      ( ~ sQ123_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4741,f212]) ).

fof(f12074,plain,
    ! [X0,X1] :
      ( ~ sQ114_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4706,f186]) ).

fof(f12075,plain,
    ! [X0,X1] :
      ( ~ sQ113_spl
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4702,f188]) ).

fof(f12076,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2324,f274]) ).

fof(f12077,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f12076]) ).

fof(f12078,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2321,f275]) ).

fof(f12079,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f12078]) ).

fof(f12080,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4190,f317]) ).

fof(f12081,definition,
    ! [X1] :
      ( sQ484_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_set(X1,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).

fof(f12082,plain,
    ! [X0] :
      ( ~ sQ484_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12081]) ).

fof(f12084,plain,
    ( sQ484_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f12080,f4709,f12081]) ).

fof(f12085,plain,
    ! [X0] :
      ( ~ sQ484_spl
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(duplicate_literals_removal,[status(thm)],[f12082]) ).

fof(f12086,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ122_spl
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3486,f4737]) ).

fof(f12087,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ122_spl
      | element_of_set(X2,closure(X0,X1,X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f4737,f213]) ).

fof(f12088,plain,
    ! [X0,X1,X2] :
      ( ~ sQ122_spl
      | topological_space(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f4737,f212]) ).

fof(f12089,plain,
    ( ~ sQ122_spl
    | sQ437_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f12086,f4237,f11775,f4736]) ).

fof(f12090,plain,
    ! [X0,X1] :
      ( ~ sQ122_spl
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12087,f188]) ).

fof(f12091,plain,
    ! [X0,X1] :
      ( ~ sQ119_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3232,f4725]) ).

fof(f12092,plain,
    ( ~ sQ119_spl
    | sQ303_spl
    | sQ466_spl ),
    inference(split_clause,[status(thm)],[f12091,f11947,f6461,f4724]) ).

fof(f12093,plain,
    ! [X0,X1] :
      ( ~ sQ118_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3254,f4721]) ).

fof(f12094,plain,
    ( ~ sQ118_spl
    | sQ303_spl
    | sQ468_spl ),
    inference(split_clause,[status(thm)],[f12093,f11958,f6461,f4720]) ).

fof(f12095,plain,
    ! [X0,X1] :
      ( ~ sQ237_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f317,f5197]) ).

fof(f12096,plain,
    ( ~ sQ237_spl
    | sQ303_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f12095,f4436,f6461,f5196]) ).

fof(f12097,plain,
    ! [X0,X1] :
      ( ~ sQ230_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f313,f5169]) ).

fof(f12098,plain,
    ( ~ sQ230_spl
    | sQ303_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f12097,f4436,f6461,f5168]) ).

fof(f12099,plain,
    ! [X0,X1] :
      ( ~ sQ195_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f337,f5029]) ).

fof(f12100,plain,
    ( ~ sQ195_spl
    | sQ303_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f12099,f4436,f6461,f5028]) ).

fof(f12101,plain,
    ! [X0,X1] :
      ( ~ sQ196_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f332,f5033]) ).

fof(f12102,plain,
    ( ~ sQ196_spl
    | sQ303_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f12101,f4436,f6461,f5032]) ).

fof(f12104,plain,
    ! [X0,X1] :
      ( ~ sQ116_spl
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3384,f4713]) ).

fof(f12105,plain,
    ( ~ sQ116_spl
    | sQ303_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f12104,f1364,f6461,f4712]) ).

fof(f12107,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3232,f165]) ).

fof(f12110,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3254,f165]) ).

fof(f12112,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ112_spl
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f4061,f4698]) ).

fof(f12113,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ112_spl
      | element_of_set(X3,union_of_members(top_of_basis(X4)))
      | subset_sets(X2,X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f4698,f4062]) ).

fof(f12114,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ112_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),X3),subspace_topology(X0,X1,X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f4698,f114]) ).

fof(f12115,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ112_spl
      | element_of_set(X2,f1(subspace_topology(X0,X1,X3),X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f4698,f113]) ).

fof(f12116,plain,
    ( ~ sQ112_spl
    | sQ437_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f12112,f4291,f11775,f4697]) ).

fof(f12117,definition,
    ! [X0,X1,X2] :
      ( sQ485_spl
    <=> ( subset_sets(X2,X0)
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).

fof(f12118,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | subset_sets(X2,X0)
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f12117]) ).

fof(f12120,plain,
    ( ~ sQ112_spl
    | sQ437_spl
    | sQ485_spl ),
    inference(split_clause,[status(thm)],[f12113,f12117,f11775,f4697]) ).

fof(f12121,plain,
    ! [X0,X1] :
      ( ~ sQ112_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12114,f169]) ).

fof(f12123,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ element_of_collection(X2,X3)
      | open(X2,X1,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f140]) ).

fof(f12125,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X1,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X1,X4),X3)),X2)
      | ~ subset_sets(X3,X1)
      | limit_point(X2,X3,X1,X4)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f1382]) ).

fof(f12126,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | closed(f14(X3,X1,X4,X2),X1,X4)
      | ~ subset_sets(X3,X1)
      | element_of_set(X2,closure(X3,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f192]) ).

fof(f12127,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | neighborhood(f16(X2,X3,X1,X4),X2,X1,X4)
      | ~ subset_sets(X3,X1)
      | limit_point(X2,X3,X1,X4)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f208]) ).

fof(f12128,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | subset_sets(X3,f14(X3,X1,X4,X2))
      | ~ subset_sets(X3,X1)
      | element_of_set(X2,closure(X3,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f191]) ).

fof(f12129,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | equal_sets(union_of_members(X2),X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f121]) ).

fof(f12131,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f124]) ).

fof(f12132,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_set(f20(X1,X2),X1)
      | hausdorff(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f221]) ).

fof(f12133,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_set(f19(X1,X2),X1)
      | hausdorff(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f220]) ).

fof(f12134,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | separation(f21(X1,X2),f22(X1,X2),X1,X2)
      | connected_space(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f244]) ).

fof(f12135,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | open_covering(f24(X1,X2),X1,X2)
      | compact_space(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f263]) ).

fof(f12136,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,cx)
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3172]) ).

fof(f12137,plain,
    ! [X0,X1,X2] :
      ( ~ sQ19_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,empty_set)
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3164]) ).

fof(f12138,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ33_spl
      | ~ sQ485_spl
      | ~ element_of_set(X3,f1(ct,f11(X2,union_of_members(ct))))
      | ~ subset_sets(X0,cx)
      | element_of_set(X3,interior(X0,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3483]) ).

fof(f12139,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ25_spl
      | ~ sQ485_spl
      | ~ element_of_set(X3,f2(ct,X2))
      | ~ subset_sets(X0,cx)
      | element_of_set(X3,interior(X0,cx,ct))
      | element_of_set(X2,intersection_of_members(ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3208]) ).

fof(f12140,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f16(X1,X2,cx,ct),X2),top_of_basis(X3))
      | eq_p(f11(X3,intersection_of_sets(f16(X1,X2,cx,ct),X2)),X1)
      | limit_point(X1,X2,cx,ct)
      | topological_space(cx,X0) ),
    inference(resolution,[status(thm)],[f12118,f2337]) ).

fof(f12141,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | neighborhood(f16(X1,X2,cx,ct),X1,cx,ct)
      | limit_point(X1,X2,cx,ct)
      | topological_space(cx,X0) ),
    inference(resolution,[status(thm)],[f12118,f1151]) ).

fof(f12142,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | closed(f14(X2,cx,ct,X1),cx,ct)
      | element_of_set(X1,closure(X2,cx,ct))
      | topological_space(cx,X0) ),
    inference(resolution,[status(thm)],[f12118,f1157]) ).

fof(f12143,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | subset_sets(X2,f14(X2,cx,ct,X1))
      | element_of_set(X1,closure(X2,cx,ct))
      | topological_space(cx,X0) ),
    inference(resolution,[status(thm)],[f12118,f1150]) ).

fof(f12147,definition,
    ! [X0] :
      ( sQ486_spl
    <=> topological_space(cx,X0) ),
    introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).

fof(f12148,plain,
    ! [X0] :
      ( ~ sQ486_spl
      | topological_space(cx,X0) ),
    inference(component_clause,[status(thm)],[f12147]) ).

fof(f12150,plain,
    ( ~ sQ485_spl
    | sQ67_spl
    | sQ486_spl ),
    inference(split_clause,[status(thm)],[f12140,f12147,f4259,f12117]) ).

fof(f12151,plain,
    ( ~ sQ485_spl
    | sQ69_spl
    | sQ486_spl ),
    inference(split_clause,[status(thm)],[f12141,f12147,f4267,f12117]) ).

fof(f12152,plain,
    ( ~ sQ485_spl
    | sQ68_spl
    | sQ486_spl ),
    inference(split_clause,[status(thm)],[f12142,f12147,f4263,f12117]) ).

fof(f12153,plain,
    ( ~ sQ485_spl
    | sQ70_spl
    | sQ486_spl ),
    inference(split_clause,[status(thm)],[f12143,f12147,f4271,f12117]) ).

fof(f12154,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ111_spl
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f4062,f4694]) ).

fof(f12155,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ111_spl
      | element_of_collection(f1(subspace_topology(X1,X2,X0),X3),subspace_topology(X1,X2,X0))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f4694,f114]) ).

fof(f12156,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ111_spl
      | element_of_set(X2,f1(subspace_topology(X1,X3,X0),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f4694,f113]) ).

fof(f12157,plain,
    ( ~ sQ111_spl
    | sQ437_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f12154,f4237,f11775,f4693]) ).

fof(f12158,plain,
    ! [X0,X1] :
      ( ~ sQ111_spl
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12155,f171]) ).

fof(f12159,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ70_spl
      | ~ element_of_set(X1,cx)
      | ~ subset_sets(f14(cx,cx,ct,X0),cx)
      | element_of_set(X1,interior(f14(cx,cx,ct,X0),cx,ct))
      | element_of_set(X0,closure(cx,cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3172]) ).

fof(f12160,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ70_spl
      | ~ element_of_set(X1,empty_set)
      | ~ subset_sets(f14(empty_set,cx,ct,X0),cx)
      | element_of_set(X1,interior(f14(empty_set,cx,ct,X0),cx,ct))
      | element_of_set(X0,closure(empty_set,cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3164]) ).

fof(f12161,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ70_spl
      | ~ element_of_set(X2,f1(ct,f11(X1,union_of_members(ct))))
      | ~ subset_sets(f14(f1(ct,f11(X1,union_of_members(ct))),cx,ct,X0),cx)
      | element_of_set(X2,interior(f14(f1(ct,f11(X1,union_of_members(ct))),cx,ct,X0),cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,closure(f1(ct,f11(X1,union_of_members(ct))),cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3483]) ).

fof(f12162,plain,
    ! [X0,X1,X2] :
      ( ~ sQ25_spl
      | ~ sQ70_spl
      | ~ element_of_set(X2,f2(ct,X1))
      | ~ subset_sets(f14(f2(ct,X1),cx,ct,X0),cx)
      | element_of_set(X2,interior(f14(f2(ct,X1),cx,ct,X0),cx,ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,closure(f2(ct,X1),cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3208]) ).

fof(f12173,plain,
    ! [X0,X1] :
      ( ~ sQ69_spl
      | ~ disjoint_s(X1,f16(f20(cx,ct),X0,cx,ct))
      | ~ neighborhood(X1,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct)
      | limit_point(f20(cx,ct),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f4268,f9569]) ).

fof(f12174,plain,
    ! [X0,X1] :
      ( ~ sQ69_spl
      | open(f16(X0,X1,cx,ct),cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4268,f197]) ).

fof(f12175,plain,
    ! [X0,X1] :
      ( ~ sQ69_spl
      | topological_space(cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4268,f195]) ).

fof(f12176,plain,
    ! [X0,X1] :
      ( ~ sQ69_spl
      | element_of_set(X0,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4268,f199]) ).

fof(f12177,definition,
    ! [X0,X1] :
      ( sQ487_spl
    <=> ( ~ disjoint_s(X1,f16(f20(cx,ct),X0,cx,ct))
        | ~ neighborhood(X1,f19(cx,ct),cx,ct)
        | limit_point(f20(cx,ct),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).

fof(f12178,plain,
    ! [X0,X1] :
      ( ~ sQ487_spl
      | ~ disjoint_s(X1,f16(f20(cx,ct),X0,cx,ct))
      | ~ neighborhood(X1,f19(cx,ct),cx,ct)
      | limit_point(f20(cx,ct),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f12177]) ).

fof(f12180,plain,
    ( ~ sQ69_spl
    | sQ0_spl
    | sQ487_spl ),
    inference(split_clause,[status(thm)],[f12173,f12177,f1093,f4267]) ).

fof(f12181,definition,
    ! [X0,X1] :
      ( sQ488_spl
    <=> limit_point(X0,X1,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).

fof(f12182,plain,
    ! [X0,X1] :
      ( ~ sQ488_spl
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f12181]) ).

fof(f12184,plain,
    ( ~ sQ69_spl
    | sQ13_spl
    | sQ488_spl ),
    inference(split_clause,[status(thm)],[f12175,f12181,f1367,f4267]) ).

fof(f12191,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(empty_set,f2(ct,X0))),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f317,f165]) ).

fof(f12193,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,f2(ct,X0)),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(cx,f2(ct,X0))),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f313,f165]) ).

fof(f12196,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),cx),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(f2(ct,X0),cx)),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f337,f165]) ).

fof(f12199,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_sets(f2(ct,X0),empty_set)),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f332,f165]) ).

fof(f12202,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | ~ topological_space(X1,X2)
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f11943,f201]) ).

fof(f12203,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5)
      | ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | ~ subset_sets(X5,X1)
      | ~ topological_space(X1,X2)
      | element_of_set(X4,interior(X5,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f11943,f184]) ).

fof(f12204,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f11943,f138]) ).

fof(f12205,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12202,f1088]) ).

fof(f12206,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5)
      | ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | ~ subset_sets(X5,X1)
      | element_of_set(X4,interior(X5,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12203,f1088]) ).

fof(f12207,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X2)
      | element_of_collection(interior(X0,X1,subspace_topology(X2,X3,X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f12204,f171]) ).

fof(f12208,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X2,X3)
      | element_of_collection(interior(X0,X1,subspace_topology(X2,X3,X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f12204,f169]) ).

fof(f12209,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f312]) ).

fof(f12210,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f316]) ).

fof(f12211,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f331]) ).

fof(f12212,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f336]) ).

fof(f12213,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f277]) ).

fof(f12214,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f278]) ).

fof(f12215,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f276]) ).

fof(f12216,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,empty_set)),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f3231]) ).

fof(f12217,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,cx)),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f3253]) ).

fof(f12218,plain,
    ! [X0,X1,X2] :
      ( open(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f3035]) ).

fof(f12219,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f308]) ).

fof(f12220,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f1148]) ).

fof(f12221,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_set(X4,union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12204,f116]) ).

fof(f12222,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_collection(f1(X2,f11(X4,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12204,f4407]) ).

fof(f12223,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12204,f4396]) ).

fof(f12224,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(X2)),f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12204,f3199]) ).

fof(f12225,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X2,interior(X4,X5,subspace_topology(X1,X6,X0)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12207,f116]) ).

fof(f12226,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,interior(X5,X6,subspace_topology(X1,X7,X0)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12207,f4407]) ).

fof(f12227,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,interior(X5,X6,subspace_topology(X1,X7,X0)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12207,f4396]) ).

fof(f12228,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),interior(X4,X5,subspace_topology(X1,X6,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12207,f3199]) ).

fof(f12229,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ489_spl
    <=> ( element_of_set(X4,interior(X5,X6,subspace_topology(X1,X7,X0)))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).

fof(f12230,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ489_spl
      | element_of_set(X2,interior(X3,X4,subspace_topology(X1,X5,X0)))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f12229]) ).

fof(f12232,plain,
    ( sQ368_spl
    | sQ489_spl ),
    inference(split_clause,[status(thm)],[f12226,f12229,f7926]) ).

fof(f12233,plain,
    ( sQ109_spl
    | sQ489_spl ),
    inference(split_clause,[status(thm)],[f12227,f12229,f4685]) ).

fof(f12234,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X2,interior(X4,X5,subspace_topology(X0,X1,X6)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12208,f116]) ).

fof(f12235,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,interior(X5,X6,subspace_topology(X0,X1,X7)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12208,f4407]) ).

fof(f12236,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,interior(X5,X6,subspace_topology(X0,X1,X7)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12208,f4396]) ).

fof(f12237,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),interior(X4,X5,subspace_topology(X0,X1,X6)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12208,f3199]) ).

fof(f12238,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ490_spl
    <=> ( element_of_set(X4,interior(X5,X6,subspace_topology(X0,X1,X7)))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).

fof(f12239,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ490_spl
      | element_of_set(X2,interior(X3,X4,subspace_topology(X0,X1,X5)))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f12238]) ).

fof(f12241,plain,
    ( sQ368_spl
    | sQ490_spl ),
    inference(split_clause,[status(thm)],[f12235,f12238,f7926]) ).

fof(f12242,plain,
    ( sQ109_spl
    | sQ490_spl ),
    inference(split_clause,[status(thm)],[f12236,f12238,f4685]) ).

fof(f12245,plain,
    ! [X0,X1] :
      ( element_of_collection(f16(X0,a,cx,ct),top_of_basis(X1))
      | element_of_set(f11(X1,f16(X0,a,cx,ct)),union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3384,f165]) ).

fof(f12250,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X1,cx),X0),f11(X1,cx),cx,ct)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2477,f165]) ).

fof(f12252,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X1,cx),X0),X0,cx,ct)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2476,f165]) ).

fof(f12253,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6501,f201]) ).

fof(f12254,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6501,f184]) ).

fof(f12256,definition,
    ! [X0,X1] :
      ( sQ491_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).

fof(f12257,plain,
    ! [X0,X1] :
      ( ~ sQ491_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12256]) ).

fof(f12259,plain,
    ( ~ sQ13_spl
    | sQ491_spl ),
    inference(split_clause,[status(thm)],[f12253,f12256,f1367]) ).

fof(f12260,definition,
    ! [X0,X1,X2] :
      ( sQ492_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).

fof(f12261,plain,
    ! [X0,X1,X2] :
      ( ~ sQ492_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12260]) ).

fof(f12263,plain,
    ( ~ sQ13_spl
    | sQ492_spl ),
    inference(split_clause,[status(thm)],[f12254,f12260,f1367]) ).

fof(f12264,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6471,f201]) ).

fof(f12265,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6471,f184]) ).

fof(f12267,definition,
    ! [X0,X1] :
      ( sQ493_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).

fof(f12268,plain,
    ! [X0,X1] :
      ( ~ sQ493_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12267]) ).

fof(f12270,plain,
    ( ~ sQ13_spl
    | sQ493_spl ),
    inference(split_clause,[status(thm)],[f12264,f12267,f1367]) ).

fof(f12271,definition,
    ! [X0,X1,X2] :
      ( sQ494_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).

fof(f12272,plain,
    ! [X0,X1,X2] :
      ( ~ sQ494_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12271]) ).

fof(f12274,plain,
    ( ~ sQ13_spl
    | sQ494_spl ),
    inference(split_clause,[status(thm)],[f12265,f12271,f1367]) ).

fof(f12275,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6428,f201]) ).

fof(f12276,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6428,f184]) ).

fof(f12278,definition,
    ! [X0,X1] :
      ( sQ495_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).

fof(f12279,plain,
    ! [X0,X1] :
      ( ~ sQ495_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12278]) ).

fof(f12281,plain,
    ( ~ sQ13_spl
    | sQ495_spl ),
    inference(split_clause,[status(thm)],[f12275,f12278,f1367]) ).

fof(f12282,definition,
    ! [X0,X1,X2] :
      ( sQ496_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).

fof(f12283,plain,
    ! [X0,X1,X2] :
      ( ~ sQ496_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12282]) ).

fof(f12285,plain,
    ( ~ sQ13_spl
    | sQ496_spl ),
    inference(split_clause,[status(thm)],[f12276,f12282,f1367]) ).

fof(f12286,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6398,f201]) ).

fof(f12287,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6398,f184]) ).

fof(f12289,definition,
    ! [X0,X1] :
      ( sQ497_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).

fof(f12290,plain,
    ! [X0,X1] :
      ( ~ sQ497_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12289]) ).

fof(f12292,plain,
    ( ~ sQ13_spl
    | sQ497_spl ),
    inference(split_clause,[status(thm)],[f12286,f12289,f1367]) ).

fof(f12293,definition,
    ! [X0,X1,X2] :
      ( sQ498_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).

fof(f12294,plain,
    ! [X0,X1,X2] :
      ( ~ sQ498_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12293]) ).

fof(f12296,plain,
    ( ~ sQ13_spl
    | sQ498_spl ),
    inference(split_clause,[status(thm)],[f12287,f12293,f1367]) ).

fof(f12297,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6368,f201]) ).

fof(f12298,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6368,f184]) ).

fof(f12300,definition,
    ! [X0,X1] :
      ( sQ499_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).

fof(f12301,plain,
    ! [X0,X1] :
      ( ~ sQ499_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12300]) ).

fof(f12303,plain,
    ( ~ sQ13_spl
    | sQ499_spl ),
    inference(split_clause,[status(thm)],[f12297,f12300,f1367]) ).

fof(f12304,definition,
    ! [X0,X1,X2] :
      ( sQ500_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).

fof(f12305,plain,
    ! [X0,X1,X2] :
      ( ~ sQ500_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12304]) ).

fof(f12307,plain,
    ( ~ sQ13_spl
    | sQ500_spl ),
    inference(split_clause,[status(thm)],[f12298,f12304,f1367]) ).

fof(f12308,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6338,f201]) ).

fof(f12309,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6338,f184]) ).

fof(f12311,definition,
    ! [X0,X1] :
      ( sQ501_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).

fof(f12312,plain,
    ! [X0,X1] :
      ( ~ sQ501_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12311]) ).

fof(f12314,plain,
    ( ~ sQ13_spl
    | sQ501_spl ),
    inference(split_clause,[status(thm)],[f12308,f12311,f1367]) ).

fof(f12315,definition,
    ! [X0,X1,X2] :
      ( sQ502_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).

fof(f12316,plain,
    ! [X0,X1,X2] :
      ( ~ sQ502_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12315]) ).

fof(f12318,plain,
    ( ~ sQ13_spl
    | sQ502_spl ),
    inference(split_clause,[status(thm)],[f12309,f12315,f1367]) ).

fof(f12319,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6308,f201]) ).

fof(f12320,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6308,f184]) ).

fof(f12322,definition,
    ! [X0,X1] :
      ( sQ503_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).

fof(f12323,plain,
    ! [X0,X1] :
      ( ~ sQ503_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12322]) ).

fof(f12325,plain,
    ( ~ sQ13_spl
    | sQ503_spl ),
    inference(split_clause,[status(thm)],[f12319,f12322,f1367]) ).

fof(f12326,definition,
    ! [X0,X1,X2] :
      ( sQ504_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).

fof(f12327,plain,
    ! [X0,X1,X2] :
      ( ~ sQ504_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12326]) ).

fof(f12329,plain,
    ( ~ sQ13_spl
    | sQ504_spl ),
    inference(split_clause,[status(thm)],[f12320,f12326,f1367]) ).

fof(f12330,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6278,f201]) ).

fof(f12331,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6278,f184]) ).

fof(f12333,definition,
    ! [X0,X1] :
      ( sQ505_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).

fof(f12334,plain,
    ! [X0,X1] :
      ( ~ sQ505_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12333]) ).

fof(f12336,plain,
    ( ~ sQ13_spl
    | sQ505_spl ),
    inference(split_clause,[status(thm)],[f12330,f12333,f1367]) ).

fof(f12337,definition,
    ! [X0,X1,X2] :
      ( sQ506_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).

fof(f12338,plain,
    ! [X0,X1,X2] :
      ( ~ sQ506_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12337]) ).

fof(f12340,plain,
    ( ~ sQ13_spl
    | sQ506_spl ),
    inference(split_clause,[status(thm)],[f12331,f12337,f1367]) ).

fof(f12341,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5999,f201]) ).

fof(f12342,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5999,f184]) ).

fof(f12344,definition,
    ! [X0,X1] :
      ( sQ507_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X1,cx,ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).

fof(f12345,plain,
    ! [X0,X1] :
      ( ~ sQ507_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12344]) ).

fof(f12347,plain,
    ( ~ sQ13_spl
    | sQ507_spl ),
    inference(split_clause,[status(thm)],[f12341,f12344,f1367]) ).

fof(f12348,definition,
    ! [X0,X1,X2] :
      ( sQ508_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).

fof(f12349,plain,
    ! [X0,X1,X2] :
      ( ~ sQ508_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12348]) ).

fof(f12351,plain,
    ( ~ sQ13_spl
    | sQ508_spl ),
    inference(split_clause,[status(thm)],[f12342,f12348,f1367]) ).

fof(f12352,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5970,f201]) ).

fof(f12353,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5970,f184]) ).

fof(f12355,definition,
    ! [X0,X1] :
      ( sQ509_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X1,cx,ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).

fof(f12356,plain,
    ! [X0,X1] :
      ( ~ sQ509_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12355]) ).

fof(f12358,plain,
    ( ~ sQ13_spl
    | sQ509_spl ),
    inference(split_clause,[status(thm)],[f12352,f12355,f1367]) ).

fof(f12359,definition,
    ! [X0,X1,X2] :
      ( sQ510_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).

fof(f12360,plain,
    ! [X0,X1,X2] :
      ( ~ sQ510_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12359]) ).

fof(f12362,plain,
    ( ~ sQ13_spl
    | sQ510_spl ),
    inference(split_clause,[status(thm)],[f12353,f12359,f1367]) ).

fof(f12363,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5941,f201]) ).

fof(f12364,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5941,f184]) ).

fof(f12366,definition,
    ! [X0,X1] :
      ( sQ511_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X1,cx,ct)
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).

fof(f12367,plain,
    ! [X0,X1] :
      ( ~ sQ511_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X1,cx,ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12366]) ).

fof(f12369,plain,
    ( ~ sQ13_spl
    | sQ511_spl ),
    inference(split_clause,[status(thm)],[f12363,f12366,f1367]) ).

fof(f12370,definition,
    ! [X0,X1,X2] :
      ( sQ512_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(cx,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).

fof(f12371,plain,
    ! [X0,X1,X2] :
      ( ~ sQ512_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12370]) ).

fof(f12373,plain,
    ( ~ sQ13_spl
    | sQ512_spl ),
    inference(split_clause,[status(thm)],[f12364,f12370,f1367]) ).

fof(f12374,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5670,f201]) ).

fof(f12375,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5670,f184]) ).

fof(f12377,definition,
    ! [X0,X1] :
      ( sQ513_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).

fof(f12378,plain,
    ! [X0,X1] :
      ( ~ sQ513_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12377]) ).

fof(f12380,plain,
    ( ~ sQ13_spl
    | sQ513_spl ),
    inference(split_clause,[status(thm)],[f12374,f12377,f1367]) ).

fof(f12381,definition,
    ! [X0,X1,X2] :
      ( sQ514_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).

fof(f12382,plain,
    ! [X0,X1,X2] :
      ( ~ sQ514_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12381]) ).

fof(f12384,plain,
    ( ~ sQ13_spl
    | sQ514_spl ),
    inference(split_clause,[status(thm)],[f12375,f12381,f1367]) ).

fof(f12385,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5642,f201]) ).

fof(f12386,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5642,f184]) ).

fof(f12388,definition,
    ! [X0,X1] :
      ( sQ515_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).

fof(f12389,plain,
    ! [X0,X1] :
      ( ~ sQ515_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12388]) ).

fof(f12391,plain,
    ( ~ sQ13_spl
    | sQ515_spl ),
    inference(split_clause,[status(thm)],[f12385,f12388,f1367]) ).

fof(f12392,definition,
    ! [X0,X1,X2] :
      ( sQ516_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).

fof(f12393,plain,
    ! [X0,X1,X2] :
      ( ~ sQ516_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12392]) ).

fof(f12395,plain,
    ( ~ sQ13_spl
    | sQ516_spl ),
    inference(split_clause,[status(thm)],[f12386,f12392,f1367]) ).

fof(f12396,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5614,f201]) ).

fof(f12397,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5614,f184]) ).

fof(f12399,definition,
    ! [X0,X1] :
      ( sQ517_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X1,cx,ct)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).

fof(f12400,plain,
    ! [X0,X1] :
      ( ~ sQ517_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X1,cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12399]) ).

fof(f12402,plain,
    ( ~ sQ13_spl
    | sQ517_spl ),
    inference(split_clause,[status(thm)],[f12396,f12399,f1367]) ).

fof(f12403,definition,
    ! [X0,X1,X2] :
      ( sQ518_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).

fof(f12404,plain,
    ! [X0,X1,X2] :
      ( ~ sQ518_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12403]) ).

fof(f12406,plain,
    ( ~ sQ13_spl
    | sQ518_spl ),
    inference(split_clause,[status(thm)],[f12397,f12403,f1367]) ).

fof(f12407,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5586,f201]) ).

fof(f12408,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5586,f184]) ).

fof(f12410,definition,
    ! [X0,X1] :
      ( sQ519_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).

fof(f12411,plain,
    ! [X0,X1] :
      ( ~ sQ519_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12410]) ).

fof(f12413,plain,
    ( ~ sQ13_spl
    | sQ519_spl ),
    inference(split_clause,[status(thm)],[f12407,f12410,f1367]) ).

fof(f12414,definition,
    ! [X0,X1,X2] :
      ( sQ520_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).

fof(f12415,plain,
    ! [X0,X1,X2] :
      ( ~ sQ520_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12414]) ).

fof(f12417,plain,
    ( ~ sQ13_spl
    | sQ520_spl ),
    inference(split_clause,[status(thm)],[f12408,f12414,f1367]) ).

fof(f12418,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5558,f201]) ).

fof(f12419,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5558,f184]) ).

fof(f12421,definition,
    ! [X0,X1] :
      ( sQ521_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).

fof(f12422,plain,
    ! [X0,X1] :
      ( ~ sQ521_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12421]) ).

fof(f12424,plain,
    ( ~ sQ13_spl
    | sQ521_spl ),
    inference(split_clause,[status(thm)],[f12418,f12421,f1367]) ).

fof(f12425,definition,
    ! [X0,X1,X2] :
      ( sQ522_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).

fof(f12426,plain,
    ! [X0,X1,X2] :
      ( ~ sQ522_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12425]) ).

fof(f12428,plain,
    ( ~ sQ13_spl
    | sQ522_spl ),
    inference(split_clause,[status(thm)],[f12419,f12425,f1367]) ).

fof(f12429,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5530,f201]) ).

fof(f12430,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5530,f184]) ).

fof(f12432,definition,
    ! [X0,X1] :
      ( sQ523_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).

fof(f12433,plain,
    ! [X0,X1] :
      ( ~ sQ523_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12432]) ).

fof(f12435,plain,
    ( ~ sQ13_spl
    | sQ523_spl ),
    inference(split_clause,[status(thm)],[f12429,f12432,f1367]) ).

fof(f12436,definition,
    ! [X0,X1,X2] :
      ( sQ524_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).

fof(f12437,plain,
    ! [X0,X1,X2] :
      ( ~ sQ524_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12436]) ).

fof(f12439,plain,
    ( ~ sQ13_spl
    | sQ524_spl ),
    inference(split_clause,[status(thm)],[f12430,f12436,f1367]) ).

fof(f12440,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5502,f201]) ).

fof(f12441,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5502,f184]) ).

fof(f12443,definition,
    ! [X0,X1] :
      ( sQ525_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).

fof(f12444,plain,
    ! [X0,X1] :
      ( ~ sQ525_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12443]) ).

fof(f12446,plain,
    ( ~ sQ13_spl
    | sQ525_spl ),
    inference(split_clause,[status(thm)],[f12440,f12443,f1367]) ).

fof(f12447,definition,
    ! [X0,X1,X2] :
      ( sQ526_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).

fof(f12448,plain,
    ! [X0,X1,X2] :
      ( ~ sQ526_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12447]) ).

fof(f12450,plain,
    ( ~ sQ13_spl
    | sQ526_spl ),
    inference(split_clause,[status(thm)],[f12441,f12447,f1367]) ).

fof(f12451,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5474,f201]) ).

fof(f12452,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5474,f184]) ).

fof(f12454,definition,
    ! [X0,X1] :
      ( sQ527_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).

fof(f12455,plain,
    ! [X0,X1] :
      ( ~ sQ527_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12454]) ).

fof(f12457,plain,
    ( ~ sQ13_spl
    | sQ527_spl ),
    inference(split_clause,[status(thm)],[f12451,f12454,f1367]) ).

fof(f12458,definition,
    ! [X0,X1,X2] :
      ( sQ528_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).

fof(f12459,plain,
    ! [X0,X1,X2] :
      ( ~ sQ528_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12458]) ).

fof(f12461,plain,
    ( ~ sQ13_spl
    | sQ528_spl ),
    inference(split_clause,[status(thm)],[f12452,f12458,f1367]) ).

fof(f12462,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5446,f201]) ).

fof(f12463,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5446,f184]) ).

fof(f12465,definition,
    ! [X0,X1] :
      ( sQ529_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).

fof(f12466,plain,
    ! [X0,X1] :
      ( ~ sQ529_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12465]) ).

fof(f12468,plain,
    ( ~ sQ13_spl
    | sQ529_spl ),
    inference(split_clause,[status(thm)],[f12462,f12465,f1367]) ).

fof(f12469,definition,
    ! [X0,X1,X2] :
      ( sQ530_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).

fof(f12470,plain,
    ! [X0,X1,X2] :
      ( ~ sQ530_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12469]) ).

fof(f12472,plain,
    ( ~ sQ13_spl
    | sQ530_spl ),
    inference(split_clause,[status(thm)],[f12463,f12469,f1367]) ).

fof(f12473,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5418,f201]) ).

fof(f12474,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5418,f184]) ).

fof(f12476,definition,
    ! [X0,X1] :
      ( sQ531_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).

fof(f12477,plain,
    ! [X0,X1] :
      ( ~ sQ531_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12476]) ).

fof(f12479,plain,
    ( ~ sQ13_spl
    | sQ531_spl ),
    inference(split_clause,[status(thm)],[f12473,f12476,f1367]) ).

fof(f12480,definition,
    ! [X0,X1,X2] :
      ( sQ532_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).

fof(f12481,plain,
    ! [X0,X1,X2] :
      ( ~ sQ532_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12480]) ).

fof(f12483,plain,
    ( ~ sQ13_spl
    | sQ532_spl ),
    inference(split_clause,[status(thm)],[f12474,f12480,f1367]) ).

fof(f12484,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5390,f201]) ).

fof(f12485,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5390,f184]) ).

fof(f12487,definition,
    ! [X0,X1] :
      ( sQ533_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).

fof(f12488,plain,
    ! [X0,X1] :
      ( ~ sQ533_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12487]) ).

fof(f12490,plain,
    ( ~ sQ13_spl
    | sQ533_spl ),
    inference(split_clause,[status(thm)],[f12484,f12487,f1367]) ).

fof(f12491,definition,
    ! [X0,X1,X2] :
      ( sQ534_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).

fof(f12492,plain,
    ! [X0,X1,X2] :
      ( ~ sQ534_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12491]) ).

fof(f12494,plain,
    ( ~ sQ13_spl
    | sQ534_spl ),
    inference(split_clause,[status(thm)],[f12485,f12491,f1367]) ).

fof(f12495,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5362,f201]) ).

fof(f12496,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5362,f184]) ).

fof(f12498,definition,
    ! [X0,X1] :
      ( sQ535_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).

fof(f12499,plain,
    ! [X0,X1] :
      ( ~ sQ535_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12498]) ).

fof(f12501,plain,
    ( ~ sQ13_spl
    | sQ535_spl ),
    inference(split_clause,[status(thm)],[f12495,f12498,f1367]) ).

fof(f12502,definition,
    ! [X0,X1,X2] :
      ( sQ536_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).

fof(f12503,plain,
    ! [X0,X1,X2] :
      ( ~ sQ536_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12502]) ).

fof(f12505,plain,
    ( ~ sQ13_spl
    | sQ536_spl ),
    inference(split_clause,[status(thm)],[f12496,f12502,f1367]) ).

fof(f12506,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5334,f201]) ).

fof(f12507,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5334,f184]) ).

fof(f12509,definition,
    ! [X0,X1] :
      ( sQ537_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).

fof(f12510,plain,
    ! [X0,X1] :
      ( ~ sQ537_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12509]) ).

fof(f12512,plain,
    ( ~ sQ13_spl
    | sQ537_spl ),
    inference(split_clause,[status(thm)],[f12506,f12509,f1367]) ).

fof(f12513,definition,
    ! [X0,X1,X2] :
      ( sQ538_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).

fof(f12514,plain,
    ! [X0,X1,X2] :
      ( ~ sQ538_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12513]) ).

fof(f12516,plain,
    ( ~ sQ13_spl
    | sQ538_spl ),
    inference(split_clause,[status(thm)],[f12507,f12513,f1367]) ).

fof(f12517,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3988,f201]) ).

fof(f12518,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3988,f184]) ).

fof(f12520,definition,
    ! [X0,X1] :
      ( sQ539_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).

fof(f12521,plain,
    ! [X0,X1] :
      ( ~ sQ539_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12520]) ).

fof(f12523,plain,
    ( ~ sQ13_spl
    | sQ539_spl ),
    inference(split_clause,[status(thm)],[f12517,f12520,f1367]) ).

fof(f12524,definition,
    ! [X0,X1,X2] :
      ( sQ540_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).

fof(f12525,plain,
    ! [X0,X1,X2] :
      ( ~ sQ540_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12524]) ).

fof(f12527,plain,
    ( ~ sQ13_spl
    | sQ540_spl ),
    inference(split_clause,[status(thm)],[f12518,f12524,f1367]) ).

fof(f12528,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3966,f201]) ).

fof(f12529,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3966,f184]) ).

fof(f12531,definition,
    ! [X0,X1] :
      ( sQ541_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).

fof(f12532,plain,
    ! [X0,X1] :
      ( ~ sQ541_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12531]) ).

fof(f12534,plain,
    ( ~ sQ13_spl
    | sQ541_spl ),
    inference(split_clause,[status(thm)],[f12528,f12531,f1367]) ).

fof(f12535,definition,
    ! [X0,X1,X2] :
      ( sQ542_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).

fof(f12536,plain,
    ! [X0,X1,X2] :
      ( ~ sQ542_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12535]) ).

fof(f12538,plain,
    ( ~ sQ13_spl
    | sQ542_spl ),
    inference(split_clause,[status(thm)],[f12529,f12535,f1367]) ).

fof(f12539,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3944,f201]) ).

fof(f12540,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3944,f184]) ).

fof(f12542,definition,
    ! [X0,X1] :
      ( sQ543_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).

fof(f12543,plain,
    ! [X0,X1] :
      ( ~ sQ543_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12542]) ).

fof(f12545,plain,
    ( ~ sQ13_spl
    | sQ543_spl ),
    inference(split_clause,[status(thm)],[f12539,f12542,f1367]) ).

fof(f12546,definition,
    ! [X0,X1,X2] :
      ( sQ544_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).

fof(f12547,plain,
    ! [X0,X1,X2] :
      ( ~ sQ544_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12546]) ).

fof(f12549,plain,
    ( ~ sQ13_spl
    | sQ544_spl ),
    inference(split_clause,[status(thm)],[f12540,f12546,f1367]) ).

fof(f12550,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3922,f201]) ).

fof(f12551,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3922,f184]) ).

fof(f12553,definition,
    ! [X0,X1] :
      ( sQ545_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).

fof(f12554,plain,
    ! [X0,X1] :
      ( ~ sQ545_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12553]) ).

fof(f12556,plain,
    ( ~ sQ13_spl
    | sQ545_spl ),
    inference(split_clause,[status(thm)],[f12550,f12553,f1367]) ).

fof(f12557,definition,
    ! [X0,X1,X2] :
      ( sQ546_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).

fof(f12558,plain,
    ! [X0,X1,X2] :
      ( ~ sQ546_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12557]) ).

fof(f12560,plain,
    ( ~ sQ13_spl
    | sQ546_spl ),
    inference(split_clause,[status(thm)],[f12551,f12557,f1367]) ).

fof(f12561,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3900,f201]) ).

fof(f12562,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3900,f184]) ).

fof(f12564,definition,
    ! [X0,X1] :
      ( sQ547_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).

fof(f12565,plain,
    ! [X0,X1] :
      ( ~ sQ547_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12564]) ).

fof(f12567,plain,
    ( ~ sQ13_spl
    | sQ547_spl ),
    inference(split_clause,[status(thm)],[f12561,f12564,f1367]) ).

fof(f12568,definition,
    ! [X0,X1,X2] :
      ( sQ548_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).

fof(f12569,plain,
    ! [X0,X1,X2] :
      ( ~ sQ548_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12568]) ).

fof(f12571,plain,
    ( ~ sQ13_spl
    | sQ548_spl ),
    inference(split_clause,[status(thm)],[f12562,f12568,f1367]) ).

fof(f12572,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3878,f201]) ).

fof(f12573,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3878,f184]) ).

fof(f12575,definition,
    ! [X0,X1] :
      ( sQ549_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).

fof(f12576,plain,
    ! [X0,X1] :
      ( ~ sQ549_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12575]) ).

fof(f12578,plain,
    ( ~ sQ13_spl
    | sQ549_spl ),
    inference(split_clause,[status(thm)],[f12572,f12575,f1367]) ).

fof(f12579,definition,
    ! [X0,X1,X2] :
      ( sQ550_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).

fof(f12580,plain,
    ! [X0,X1,X2] :
      ( ~ sQ550_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12579]) ).

fof(f12582,plain,
    ( ~ sQ13_spl
    | sQ550_spl ),
    inference(split_clause,[status(thm)],[f12573,f12579,f1367]) ).

fof(f12583,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3856,f201]) ).

fof(f12584,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3856,f184]) ).

fof(f12586,definition,
    ! [X0,X1] :
      ( sQ551_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).

fof(f12587,plain,
    ! [X0,X1] :
      ( ~ sQ551_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12586]) ).

fof(f12589,plain,
    ( ~ sQ13_spl
    | sQ551_spl ),
    inference(split_clause,[status(thm)],[f12583,f12586,f1367]) ).

fof(f12590,definition,
    ! [X0,X1,X2] :
      ( sQ552_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).

fof(f12591,plain,
    ! [X0,X1,X2] :
      ( ~ sQ552_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12590]) ).

fof(f12593,plain,
    ( ~ sQ13_spl
    | sQ552_spl ),
    inference(split_clause,[status(thm)],[f12584,f12590,f1367]) ).

fof(f12594,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3834,f201]) ).

fof(f12595,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3834,f184]) ).

fof(f12597,definition,
    ! [X0,X1] :
      ( sQ553_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).

fof(f12598,plain,
    ! [X0,X1] :
      ( ~ sQ553_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12597]) ).

fof(f12600,plain,
    ( ~ sQ13_spl
    | sQ553_spl ),
    inference(split_clause,[status(thm)],[f12594,f12597,f1367]) ).

fof(f12601,definition,
    ! [X0,X1,X2] :
      ( sQ554_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).

fof(f12602,plain,
    ! [X0,X1,X2] :
      ( ~ sQ554_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12601]) ).

fof(f12604,plain,
    ( ~ sQ13_spl
    | sQ554_spl ),
    inference(split_clause,[status(thm)],[f12595,f12601,f1367]) ).

fof(f12605,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3812,f201]) ).

fof(f12606,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3812,f184]) ).

fof(f12608,definition,
    ! [X0,X1] :
      ( sQ555_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).

fof(f12609,plain,
    ! [X0,X1] :
      ( ~ sQ555_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12608]) ).

fof(f12611,plain,
    ( ~ sQ13_spl
    | sQ555_spl ),
    inference(split_clause,[status(thm)],[f12605,f12608,f1367]) ).

fof(f12612,definition,
    ! [X0,X1,X2] :
      ( sQ556_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).

fof(f12613,plain,
    ! [X0,X1,X2] :
      ( ~ sQ556_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12612]) ).

fof(f12615,plain,
    ( ~ sQ13_spl
    | sQ556_spl ),
    inference(split_clause,[status(thm)],[f12606,f12612,f1367]) ).

fof(f12616,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3790,f201]) ).

fof(f12617,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3790,f184]) ).

fof(f12619,definition,
    ! [X0,X1] :
      ( sQ557_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).

fof(f12620,plain,
    ! [X0,X1] :
      ( ~ sQ557_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12619]) ).

fof(f12622,plain,
    ( ~ sQ13_spl
    | sQ557_spl ),
    inference(split_clause,[status(thm)],[f12616,f12619,f1367]) ).

fof(f12623,definition,
    ! [X0,X1,X2] :
      ( sQ558_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).

fof(f12624,plain,
    ! [X0,X1,X2] :
      ( ~ sQ558_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12623]) ).

fof(f12626,plain,
    ( ~ sQ13_spl
    | sQ558_spl ),
    inference(split_clause,[status(thm)],[f12617,f12623,f1367]) ).

fof(f12627,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3768,f201]) ).

fof(f12628,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3768,f184]) ).

fof(f12630,definition,
    ! [X0,X1] :
      ( sQ559_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).

fof(f12631,plain,
    ! [X0,X1] :
      ( ~ sQ559_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12630]) ).

fof(f12633,plain,
    ( ~ sQ13_spl
    | sQ559_spl ),
    inference(split_clause,[status(thm)],[f12627,f12630,f1367]) ).

fof(f12634,definition,
    ! [X0,X1,X2] :
      ( sQ560_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).

fof(f12635,plain,
    ! [X0,X1,X2] :
      ( ~ sQ560_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12634]) ).

fof(f12637,plain,
    ( ~ sQ13_spl
    | sQ560_spl ),
    inference(split_clause,[status(thm)],[f12628,f12634,f1367]) ).

fof(f12638,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3746,f201]) ).

fof(f12639,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3746,f184]) ).

fof(f12641,definition,
    ! [X0,X1] :
      ( sQ561_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
        | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X1,cx,ct)
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).

fof(f12642,plain,
    ! [X0,X1] :
      ( ~ sQ561_spl
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12641]) ).

fof(f12644,plain,
    ( ~ sQ13_spl
    | sQ561_spl ),
    inference(split_clause,[status(thm)],[f12638,f12641,f1367]) ).

fof(f12645,definition,
    ! [X0,X1,X2] :
      ( sQ562_spl
    <=> ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).

fof(f12646,plain,
    ! [X0,X1,X2] :
      ( ~ sQ562_spl
      | ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12645]) ).

fof(f12648,plain,
    ( ~ sQ13_spl
    | sQ562_spl ),
    inference(split_clause,[status(thm)],[f12639,f12645,f1367]) ).

fof(f12649,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3724,f201]) ).

fof(f12650,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3724,f184]) ).

fof(f12652,definition,
    ! [X0,X1] :
      ( sQ563_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
        | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X1,cx,ct)
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).

fof(f12653,plain,
    ! [X0,X1] :
      ( ~ sQ563_spl
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12652]) ).

fof(f12655,plain,
    ( ~ sQ13_spl
    | sQ563_spl ),
    inference(split_clause,[status(thm)],[f12649,f12652,f1367]) ).

fof(f12656,definition,
    ! [X0,X1,X2] :
      ( sQ564_spl
    <=> ( ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).

fof(f12657,plain,
    ! [X0,X1,X2] :
      ( ~ sQ564_spl
      | ~ subset_sets(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f12656]) ).

fof(f12659,plain,
    ( ~ sQ13_spl
    | sQ564_spl ),
    inference(split_clause,[status(thm)],[f12650,f12656,f1367]) ).

fof(f12660,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3702,f201]) ).

fof(f12661,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3702,f184]) ).

fof(f12663,definition,
    ! [X0,X1] :
      ( sQ565_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).

fof(f12664,plain,
    ! [X0,X1] :
      ( ~ sQ565_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12663]) ).

fof(f12666,plain,
    ( ~ sQ13_spl
    | sQ565_spl ),
    inference(split_clause,[status(thm)],[f12660,f12663,f1367]) ).

fof(f12667,definition,
    ! [X0,X1,X2] :
      ( sQ566_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).

fof(f12668,plain,
    ! [X0,X1,X2] :
      ( ~ sQ566_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f12667]) ).

fof(f12670,plain,
    ( ~ sQ13_spl
    | sQ566_spl ),
    inference(split_clause,[status(thm)],[f12661,f12667,f1367]) ).

fof(f12671,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f312]) ).

fof(f12672,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f316]) ).

fof(f12673,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f331]) ).

fof(f12674,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f336]) ).

fof(f12675,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f277]) ).

fof(f12676,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f278]) ).

fof(f12677,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f276]) ).

fof(f12678,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f3231]) ).

fof(f12679,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f3253]) ).

fof(f12680,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f3035]) ).

fof(f12681,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f308]) ).

fof(f12682,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f1148]) ).

fof(f12683,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f116]) ).

fof(f12684,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f4407]) ).

fof(f12685,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f4396]) ).

fof(f12686,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3675,f3199]) ).

fof(f12687,definition,
    ! [X0,X2] :
      ( sQ567_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).

fof(f12688,plain,
    ! [X0,X1] :
      ( ~ sQ567_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f12687]) ).

fof(f12690,plain,
    ( sQ369_spl
    | sQ567_spl ),
    inference(split_clause,[status(thm)],[f12684,f12687,f7936]) ).

fof(f12691,plain,
    ( sQ115_spl
    | sQ567_spl ),
    inference(split_clause,[status(thm)],[f12685,f12687,f4709]) ).

fof(f12692,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f312]) ).

fof(f12693,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f316]) ).

fof(f12694,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f331]) ).

fof(f12695,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f336]) ).

fof(f12696,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f277]) ).

fof(f12697,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f278]) ).

fof(f12698,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f276]) ).

fof(f12699,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f3231]) ).

fof(f12700,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f3253]) ).

fof(f12701,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f3035]) ).

fof(f12702,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f308]) ).

fof(f12703,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f1148]) ).

fof(f12704,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f116]) ).

fof(f12705,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f4407]) ).

fof(f12706,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f4396]) ).

fof(f12707,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3674,f3199]) ).

fof(f12708,definition,
    ! [X0,X2] :
      ( sQ568_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).

fof(f12709,plain,
    ! [X0,X1] :
      ( ~ sQ568_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f12708]) ).

fof(f12711,plain,
    ( sQ369_spl
    | sQ568_spl ),
    inference(split_clause,[status(thm)],[f12705,f12708,f7936]) ).

fof(f12712,plain,
    ( sQ115_spl
    | sQ568_spl ),
    inference(split_clause,[status(thm)],[f12706,f12708,f4709]) ).

fof(f12713,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f312]) ).

fof(f12714,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f316]) ).

fof(f12715,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f331]) ).

fof(f12716,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f336]) ).

fof(f12717,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f277]) ).

fof(f12718,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f278]) ).

fof(f12719,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f276]) ).

fof(f12720,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f3231]) ).

fof(f12721,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f3253]) ).

fof(f12722,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f3035]) ).

fof(f12723,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f308]) ).

fof(f12724,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f1148]) ).

fof(f12725,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f116]) ).

fof(f12726,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f4407]) ).

fof(f12727,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f4396]) ).

fof(f12728,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3653,f3199]) ).

fof(f12729,definition,
    ! [X0,X2] :
      ( sQ569_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).

fof(f12730,plain,
    ! [X0,X1] :
      ( ~ sQ569_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f12729]) ).

fof(f12732,plain,
    ( sQ369_spl
    | sQ569_spl ),
    inference(split_clause,[status(thm)],[f12726,f12729,f7936]) ).

fof(f12733,plain,
    ( sQ115_spl
    | sQ569_spl ),
    inference(split_clause,[status(thm)],[f12727,f12729,f4709]) ).

fof(f12734,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f312]) ).

fof(f12735,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f316]) ).

fof(f12736,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f331]) ).

fof(f12737,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f336]) ).

fof(f12738,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f277]) ).

fof(f12739,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f278]) ).

fof(f12740,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f276]) ).

fof(f12741,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f3231]) ).

fof(f12742,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f3253]) ).

fof(f12743,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f3035]) ).

fof(f12744,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f308]) ).

fof(f12745,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f1148]) ).

fof(f12746,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f116]) ).

fof(f12747,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f4407]) ).

fof(f12748,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f4396]) ).

fof(f12749,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3652,f3199]) ).

fof(f12750,definition,
    ! [X0,X2] :
      ( sQ570_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).

fof(f12751,plain,
    ! [X0,X1] :
      ( ~ sQ570_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,a,cx,ct))))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f12750]) ).

fof(f12753,plain,
    ( sQ369_spl
    | sQ570_spl ),
    inference(split_clause,[status(thm)],[f12747,f12750,f7936]) ).

fof(f12754,plain,
    ( sQ115_spl
    | sQ570_spl ),
    inference(split_clause,[status(thm)],[f12748,f12750,f4709]) ).

fof(f12755,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f13(X1,X2,ct,f11(X3,interior(X1,X2,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f12204]) ).

fof(f12756,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f2(ct,X1)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f119]) ).

fof(f12757,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2011]) ).

fof(f12758,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2012]) ).

fof(f12759,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2153]) ).

fof(f12760,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2154]) ).

fof(f12761,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2299]) ).

fof(f12762,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2300]) ).

fof(f12763,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f522]) ).

fof(f12764,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f523]) ).

fof(f12765,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f530]) ).

fof(f12766,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f531]) ).

fof(f12767,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f532]) ).

fof(f12768,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f533]) ).

fof(f12769,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f572]) ).

fof(f12770,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f573]) ).

fof(f12771,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f580]) ).

fof(f12772,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f581]) ).

fof(f12773,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f582]) ).

fof(f12774,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f583]) ).

fof(f12775,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1609]) ).

fof(f12776,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1610]) ).

fof(f12777,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1873]) ).

fof(f12778,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1874]) ).

fof(f12779,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f448]) ).

fof(f12780,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f449]) ).

fof(f12781,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f456]) ).

fof(f12782,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f457]) ).

fof(f12783,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f458]) ).

fof(f12784,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f459]) ).

fof(f12785,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2537]) ).

fof(f12786,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2538]) ).

fof(f12787,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2565]) ).

fof(f12788,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2569]) ).

fof(f12789,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2598]) ).

fof(f12790,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2599]) ).

fof(f12791,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3214]) ).

fof(f12792,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X1,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3236]) ).

fof(f12793,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2486]) ).

fof(f12794,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2897]) ).

fof(f12795,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2898]) ).

fof(f12796,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2829]) ).

fof(f12797,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2830]) ).

fof(f12798,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2861]) ).

fof(f12799,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2865]) ).

fof(f12800,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3213]) ).

fof(f12801,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X1,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3235]) ).

fof(f12802,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2776]) ).

fof(f12803,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1483]) ).

fof(f12804,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1484]) ).

fof(f12805,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1739]) ).

fof(f12806,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1740]) ).

fof(f12807,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f410]) ).

fof(f12808,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f411]) ).

fof(f12809,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f418]) ).

fof(f12810,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f419]) ).

fof(f12811,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f420]) ).

fof(f12812,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f421]) ).

fof(f12813,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3022]) ).

fof(f12814,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3023]) ).

fof(f12815,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2954]) ).

fof(f12816,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2955]) ).

fof(f12817,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2986]) ).

fof(f12818,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2990]) ).

fof(f12819,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3212]) ).

fof(f12820,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X1,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3234]) ).

fof(f12821,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2901]) ).

fof(f12822,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),f2(ct,X2))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f318]) ).

fof(f12823,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1145]) ).

fof(f12824,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f8551]) ).

fof(f12825,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f8538]) ).

fof(f12826,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f8577]) ).

fof(f12827,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f8564]) ).

fof(f12828,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2747]) ).

fof(f12829,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2766]) ).

fof(f12830,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2633]) ).

fof(f12831,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2652]) ).

fof(f12832,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2671]) ).

fof(f12833,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2709]) ).

fof(f12834,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f320]) ).

fof(f12835,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f321]) ).

fof(f12836,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f323]) ).

fof(f12837,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2614]) ).

fof(f12838,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2690]) ).

fof(f12839,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2728]) ).

fof(f12840,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f324]) ).

fof(f12841,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f325]) ).

fof(f12842,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f326]) ).

fof(f12843,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f2(ct,X1),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f327]) ).

fof(f12844,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f287]) ).

fof(f12845,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f288]) ).

fof(f12846,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f538]) ).

fof(f12847,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f546]) ).

fof(f12848,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f589]) ).

fof(f12849,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f598]) ).

fof(f12850,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f484]) ).

fof(f12851,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f491]) ).

fof(f12852,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3309]) ).

fof(f12853,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3331]) ).

fof(f12854,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f424]) ).

fof(f12855,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f477]) ).

fof(f12856,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3353]) ).

fof(f12857,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5889]) ).

fof(f12858,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5918]) ).

fof(f12859,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6224]) ).

fof(f12860,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6254]) ).

fof(f12861,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,f16(X1,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3652]) ).

fof(f12862,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f339]) ).

fof(f12863,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f349]) ).

fof(f12864,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f379]) ).

fof(f12865,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f389]) ).

fof(f12866,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f289]) ).

fof(f12867,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f292]) ).

fof(f12868,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3403]) ).

fof(f12869,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3447]) ).

fof(f12870,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f310]) ).

fof(f12871,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X1,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3674]) ).

fof(f12872,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f344]) ).

fof(f12873,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f354]) ).

fof(f12874,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f384]) ).

fof(f12875,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f394]) ).

fof(f12876,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f285]) ).

fof(f12877,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f286]) ).

fof(f12878,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3425]) ).

fof(f12879,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3469]) ).

fof(f12880,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f314]) ).

fof(f12881,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f359]) ).

fof(f12882,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f364]) ).

fof(f12883,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f369]) ).

fof(f12884,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f374]) ).

fof(f12885,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f329]) ).

fof(f12886,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f334]) ).

fof(f12887,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,f2(ct,X1))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f306]) ).

fof(f12888,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,f16(X1,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3381]) ).

fof(f12889,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1146]) ).

fof(f12890,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f4387]) ).

fof(f12891,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,f1(ct,f11(X1,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3229]) ).

fof(f12892,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(cx,f1(ct,f11(X1,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3251]) ).

fof(f12893,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f279]) ).

fof(f12894,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f280]) ).

fof(f12895,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f539]) ).

fof(f12896,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f547]) ).

fof(f12897,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f590]) ).

fof(f12898,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f599]) ).

fof(f12899,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f485]) ).

fof(f12900,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f492]) ).

fof(f12901,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3310]) ).

fof(f12902,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3332]) ).

fof(f12903,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f425]) ).

fof(f12904,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f478]) ).

fof(f12905,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3354]) ).

fof(f12906,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5890]) ).

fof(f12907,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,empty_set)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5919]) ).

fof(f12908,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6225]) ).

fof(f12909,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X1,cx)),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6255]) ).

fof(f12910,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X1,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3653]) ).

fof(f12911,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f340]) ).

fof(f12912,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f350]) ).

fof(f12913,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f380]) ).

fof(f12914,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f390]) ).

fof(f12915,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f290]) ).

fof(f12916,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f293]) ).

fof(f12917,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,empty_set))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3404]) ).

fof(f12918,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X1,cx))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3448]) ).

fof(f12919,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f311]) ).

fof(f12920,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X1,a,cx,ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3675]) ).

fof(f12921,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f345]) ).

fof(f12922,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f355]) ).

fof(f12923,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f385]) ).

fof(f12924,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f395]) ).

fof(f12925,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f281]) ).

fof(f12926,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f283]) ).

fof(f12927,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3426]) ).

fof(f12928,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X1,cx))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3470]) ).

fof(f12929,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f315]) ).

fof(f12930,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f360]) ).

fof(f12931,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f365]) ).

fof(f12932,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f370]) ).

fof(f12933,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f375]) ).

fof(f12934,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f330]) ).

fof(f12935,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f335]) ).

fof(f12936,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f307]) ).

fof(f12937,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,f16(X1,a,cx,ct))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3382]) ).

fof(f12938,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,f1(ct,f11(X1,union_of_members(ct))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1147]) ).

fof(f12939,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,f1(ct,f11(X1,intersection_of_members(ct))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f4388]) ).

fof(f12940,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,f1(ct,f11(X1,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3230]) ).

fof(f12941,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(empty_set,f1(ct,f11(X1,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3252]) ).

fof(f12942,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f7082]) ).

fof(f12943,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2451]) ).

fof(f12944,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2452]) ).

fof(f12945,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f2339]) ).

fof(f12946,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5826]) ).

fof(f12947,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5827]) ).

fof(f12948,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5862]) ).

fof(f12949,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5863]) ).

fof(f12950,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,empty_set)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5864]) ).

fof(f12951,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,empty_set)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f5865]) ).

fof(f12952,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6160]) ).

fof(f12953,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(cx,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6161]) ).

fof(f12954,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6196]) ).

fof(f12955,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6197]) ).

fof(f12956,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,cx)),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6198]) ).

fof(f12957,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),intersection_of_sets(f1(ct,f11(X1,cx)),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6199]) ).

fof(f12958,plain,
    ! [X0,X1] :
      ( limit_point(X1,a,cx,ct)
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f16(X1,a,cx,ct)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3357]) ).

fof(f12959,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_sets(cx,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3473]) ).

fof(f12960,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_sets(cx,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3475]) ).

fof(f12961,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_sets(empty_set,empty_set)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f11979]) ).

fof(f12962,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_sets(empty_set,cx)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3488]) ).

fof(f12963,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f4364]) ).

fof(f12964,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,cx))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3203]) ).

fof(f12965,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,empty_set))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f3201]) ).

fof(f12966,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(ct,f11(X2,union_of_members(ct))),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,f1(ct,f11(X2,union_of_members(ct)))))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6683]) ).

fof(f12967,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(ct,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,f2(ct,X2)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1159]) ).

fof(f12968,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f6698]) ).

fof(f12969,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f4399]) ).

fof(f12970,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f1083]) ).

fof(f12971,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),cx),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f274]) ).

fof(f12972,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),empty_set),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f3383,f275]) ).

fof(f12973,definition,
    ! [X0,X1] :
      ( sQ571_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).

fof(f12974,plain,
    ! [X0,X1] :
      ( ~ sQ571_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f16(X0,a,cx,ct),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f12973]) ).

fof(f12976,plain,
    ( sQ317_spl
    | sQ571_spl ),
    inference(split_clause,[status(thm)],[f12968,f12973,f6885]) ).

fof(f12977,plain,
    ( sQ88_spl
    | sQ571_spl ),
    inference(split_clause,[status(thm)],[f12969,f12973,f4436]) ).

fof(f12978,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f16(X1,a,cx,ct),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | limit_point(X1,a,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f3383]) ).

fof(f12979,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f312]) ).

fof(f12980,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f316]) ).

fof(f12981,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f331]) ).

fof(f12982,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f336]) ).

fof(f12983,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f277]) ).

fof(f12984,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f278]) ).

fof(f12985,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f16(X0,a,cx,ct),cx),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f276]) ).

fof(f12986,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f3231]) ).

fof(f12987,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f3253]) ).

fof(f12988,plain,
    ! [X0] :
      ( open(intersection_of_sets(f16(X0,a,cx,ct),cx),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f3035]) ).

fof(f12989,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f308]) ).

fof(f12990,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f16(X0,a,cx,ct),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f1148]) ).

fof(f12991,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f116]) ).

fof(f12992,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f4407]) ).

fof(f12993,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f4396]) ).

fof(f12994,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f16(X0,a,cx,ct),cx))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12971,f3199]) ).

fof(f12995,definition,
    ! [X0,X2] :
      ( sQ572_spl
    <=> ( element_of_set(X2,intersection_of_sets(f16(X0,a,cx,ct),cx))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).

fof(f12996,plain,
    ! [X0,X1] :
      ( ~ sQ572_spl
      | element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f12995]) ).

fof(f12998,plain,
    ( sQ369_spl
    | sQ572_spl ),
    inference(split_clause,[status(thm)],[f12992,f12995,f7936]) ).

fof(f12999,plain,
    ( sQ115_spl
    | sQ572_spl ),
    inference(split_clause,[status(thm)],[f12993,f12995,f4709]) ).

fof(f13000,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f16(X1,a,cx,ct),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | limit_point(X1,a,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f3383]) ).

fof(f13001,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f312]) ).

fof(f13002,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f316]) ).

fof(f13003,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f331]) ).

fof(f13004,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f336]) ).

fof(f13005,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f277]) ).

fof(f13006,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f278]) ).

fof(f13007,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X1),ct)
      | ~ element_of_collection(X1,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f276]) ).

fof(f13008,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,empty_set)),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_collection(empty_set,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f3231]) ).

fof(f13009,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,cx)),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_collection(cx,top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f3253]) ).

fof(f13010,plain,
    ! [X0] :
      ( open(intersection_of_sets(f16(X0,a,cx,ct),empty_set),cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f3035]) ).

fof(f13011,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f308]) ).

fof(f13012,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f16(X0,a,cx,ct),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f1148]) ).

fof(f13013,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | element_of_set(X1,union_of_members(ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f116]) ).

fof(f13014,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f4407]) ).

fof(f13015,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f4396]) ).

fof(f13016,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12972,f3199]) ).

fof(f13017,definition,
    ! [X0,X2] :
      ( sQ573_spl
    <=> ( element_of_set(X2,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).

fof(f13018,plain,
    ! [X0,X1] :
      ( ~ sQ573_spl
      | element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f13017]) ).

fof(f13020,plain,
    ( sQ369_spl
    | sQ573_spl ),
    inference(split_clause,[status(thm)],[f13014,f13017,f7936]) ).

fof(f13021,plain,
    ( sQ115_spl
    | sQ573_spl ),
    inference(split_clause,[status(thm)],[f13015,f13017,f4709]) ).

fof(f13022,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f16(X0,a,cx,ct),cx),X1,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12988,f201]) ).

fof(f13023,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f16(X0,a,cx,ct),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f12988,f184]) ).

fof(f13025,definition,
    ! [X0,X1] :
      ( sQ574_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
        | neighborhood(intersection_of_sets(f16(X0,a,cx,ct),cx),X1,cx,ct)
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).

fof(f13026,plain,
    ! [X0,X1] :
      ( ~ sQ574_spl
      | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | neighborhood(intersection_of_sets(f16(X0,a,cx,ct),cx),X1,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f13025]) ).

fof(f13028,plain,
    ( ~ sQ13_spl
    | sQ574_spl ),
    inference(split_clause,[status(thm)],[f13022,f13025,f1367]) ).

fof(f13029,definition,
    ! [X0,X1,X2] :
      ( sQ575_spl
    <=> ( ~ subset_sets(intersection_of_sets(f16(X0,a,cx,ct),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).

fof(f13030,plain,
    ! [X0,X1,X2] :
      ( ~ sQ575_spl
      | ~ subset_sets(intersection_of_sets(f16(X0,a,cx,ct),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f13029]) ).

fof(f13032,plain,
    ( ~ sQ13_spl
    | sQ575_spl ),
    inference(split_clause,[status(thm)],[f13023,f13029,f1367]) ).

fof(f13033,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X1,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f13010,f201]) ).

fof(f13034,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f13010,f184]) ).

fof(f13036,definition,
    ! [X0,X1] :
      ( sQ576_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
        | neighborhood(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X1,cx,ct)
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).

fof(f13037,plain,
    ! [X0,X1] :
      ( ~ sQ576_spl
      | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | neighborhood(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X1,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f13036]) ).

fof(f13039,plain,
    ( ~ sQ13_spl
    | sQ576_spl ),
    inference(split_clause,[status(thm)],[f13033,f13036,f1367]) ).

fof(f13040,definition,
    ! [X0,X1,X2] :
      ( sQ577_spl
    <=> ( ~ subset_sets(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | limit_point(X0,a,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).

fof(f13041,plain,
    ! [X0,X1,X2] :
      ( ~ sQ577_spl
      | ~ subset_sets(intersection_of_sets(f16(X0,a,cx,ct),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(f16(X0,a,cx,ct),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | limit_point(X0,a,cx,ct) ),
    inference(component_clause,[status(thm)],[f13040]) ).

fof(f13043,plain,
    ( ~ sQ13_spl
    | sQ577_spl ),
    inference(split_clause,[status(thm)],[f13034,f13040,f1367]) ).

fof(f13045,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X1,cx),X0),f18(cx,ct,f11(X1,cx),X0))
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2475,f165]) ).

fof(f13046,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),top_of_basis(X4))
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2)))),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12205,f165]) ).

fof(f13047,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4358,f7114]) ).

fof(f13048,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)))
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4358,f165]) ).

fof(f13049,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4357,f7114]) ).

fof(f13050,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f11(X1,cx),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4357,f165]) ).

fof(f13051,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct))),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,intersection_of_members(ct)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4356,f7114]) ).

fof(f13052,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f11(X1,cx)),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f11(X1,cx))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4356,f165]) ).

fof(f13053,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f17(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))),f11(X0,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,intersection_of_members(ct))) ),
    inference(resolution,[status(thm)],[f3479,f7114]) ).

fof(f13054,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f17(cx,ct,f11(X0,cx),f11(X1,cx)),f11(X0,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3479,f165]) ).

fof(f13055,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f18(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,intersection_of_members(ct))) ),
    inference(resolution,[status(thm)],[f3478,f7114]) ).

fof(f13056,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | neighborhood(f18(cx,ct,f11(X0,cx),f11(X1,cx)),f11(X1,cx),cx,ct)
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3478,f165]) ).

fof(f13057,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | disjoint_s(f17(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))),f18(cx,ct,f11(X0,cx),f11(X1,intersection_of_members(ct))))
      | eq_p(f11(X0,cx),f11(X1,intersection_of_members(ct))) ),
    inference(resolution,[status(thm)],[f3477,f7114]) ).

fof(f13058,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0))
      | disjoint_s(f17(cx,ct,f11(X0,cx),f11(X1,cx)),f18(cx,ct,f11(X0,cx),f11(X1,cx)))
      | eq_p(f11(X0,cx),f11(X1,cx)) ),
    inference(resolution,[status(thm)],[f3477,f165]) ).

fof(f13059,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f16(X3,a,cx,ct),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | limit_point(X3,a,cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f3383]) ).

fof(f13060,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f312]) ).

fof(f13061,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f316]) ).

fof(f13062,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f331]) ).

fof(f13063,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f336]) ).

fof(f13064,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f277]) ).

fof(f13065,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f278]) ).

fof(f13066,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f276]) ).

fof(f13067,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,empty_set)),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f3231]) ).

fof(f13068,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,cx)),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f3253]) ).

fof(f13069,plain,
    ! [X0,X1,X2] :
      ( open(intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f3035]) ).

fof(f13070,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f308]) ).

fof(f13071,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f1148]) ).

fof(f13072,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(X3,union_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f116]) ).

fof(f13073,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(f1(ct,f11(X3,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f4407]) ).

fof(f13074,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(f11(X3,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f4396]) ).

fof(f13075,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(ct)),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12213,f3199]) ).

fof(f13076,definition,
    ! [X0,X1,X2,X4] :
      ( sQ578_spl
    <=> ( element_of_set(X4,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).

fof(f13077,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ578_spl
      | element_of_set(X3,intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f13076]) ).

fof(f13079,plain,
    ( sQ369_spl
    | sQ578_spl ),
    inference(split_clause,[status(thm)],[f13073,f13076,f7936]) ).

fof(f13080,plain,
    ( sQ115_spl
    | sQ578_spl ),
    inference(split_clause,[status(thm)],[f13074,f13076,f4709]) ).

fof(f13081,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f16(X3,a,cx,ct),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | limit_point(X3,a,cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f3383]) ).

fof(f13082,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f312]) ).

fof(f13083,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f316]) ).

fof(f13084,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f331]) ).

fof(f13085,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f336]) ).

fof(f13086,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f277]) ).

fof(f13087,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f278]) ).

fof(f13088,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f276]) ).

fof(f13089,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,empty_set)),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f3231]) ).

fof(f13090,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,cx)),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f3253]) ).

fof(f13091,plain,
    ! [X0,X1,X2] :
      ( open(intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f3035]) ).

fof(f13092,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f308]) ).

fof(f13093,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f1148]) ).

fof(f13094,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(X3,union_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f116]) ).

fof(f13095,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(f1(ct,f11(X3,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f4407]) ).

fof(f13096,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(f11(X3,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f4396]) ).

fof(f13097,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(ct)),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12214,f3199]) ).

fof(f13098,definition,
    ! [X0,X1,X2,X4] :
      ( sQ579_spl
    <=> ( element_of_set(X4,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).

fof(f13099,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ579_spl
      | element_of_set(X3,intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f13098]) ).

fof(f13101,plain,
    ( sQ369_spl
    | sQ579_spl ),
    inference(split_clause,[status(thm)],[f13095,f13098,f7936]) ).

fof(f13102,plain,
    ( sQ115_spl
    | sQ579_spl ),
    inference(split_clause,[status(thm)],[f13096,f13098,f4709]) ).

fof(f13103,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f13(X3,X4,ct,f11(X5,interior(X3,X4,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f12204]) ).

fof(f13104,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f2(ct,X3)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f119]) ).

fof(f13105,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f16(X3,a,cx,ct),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f12972]) ).

fof(f13106,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f16(X3,a,cx,ct),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f12971]) ).

fof(f13107,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2011]) ).

fof(f13108,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2012]) ).

fof(f13109,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2153]) ).

fof(f13110,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2154]) ).

fof(f13111,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2299]) ).

fof(f13112,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2300]) ).

fof(f13113,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f522]) ).

fof(f13114,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f523]) ).

fof(f13115,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f530]) ).

fof(f13116,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f531]) ).

fof(f13117,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f532]) ).

fof(f13118,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f533]) ).

fof(f13119,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f572]) ).

fof(f13120,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f573]) ).

fof(f13121,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f580]) ).

fof(f13122,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f581]) ).

fof(f13123,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f582]) ).

fof(f13124,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f583]) ).

fof(f13125,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1609]) ).

fof(f13126,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1610]) ).

fof(f13127,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1873]) ).

fof(f13128,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1874]) ).

fof(f13129,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f448]) ).

fof(f13130,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f449]) ).

fof(f13131,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f456]) ).

fof(f13132,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f457]) ).

fof(f13133,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f458]) ).

fof(f13134,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f459]) ).

fof(f13135,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2537]) ).

fof(f13136,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2538]) ).

fof(f13137,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2565]) ).

fof(f13138,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2569]) ).

fof(f13139,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2598]) ).

fof(f13140,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2599]) ).

fof(f13141,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X3,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3214]) ).

fof(f13142,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X3,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3236]) ).

fof(f13143,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X3))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2486]) ).

fof(f13144,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2897]) ).

fof(f13145,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2898]) ).

fof(f13146,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2829]) ).

fof(f13147,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2830]) ).

fof(f13148,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2861]) ).

fof(f13149,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2865]) ).

fof(f13150,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X3,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3213]) ).

fof(f13151,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X3,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3235]) ).

fof(f13152,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X3))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2776]) ).

fof(f13153,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1483]) ).

fof(f13154,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1484]) ).

fof(f13155,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1739]) ).

fof(f13156,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1740]) ).

fof(f13157,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f410]) ).

fof(f13158,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f411]) ).

fof(f13159,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f418]) ).

fof(f13160,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f419]) ).

fof(f13161,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f420]) ).

fof(f13162,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f421]) ).

fof(f13163,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3022]) ).

fof(f13164,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3023]) ).

fof(f13165,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2954]) ).

fof(f13166,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2955]) ).

fof(f13167,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2986]) ).

fof(f13168,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2990]) ).

fof(f13169,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X3,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3212]) ).

fof(f13170,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X3,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3234]) ).

fof(f13171,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X3))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2901]) ).

fof(f13172,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),f2(ct,X4))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f318]) ).

fof(f13173,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),f1(ct,f11(X4,union_of_members(ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1145]) ).

fof(f13174,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f8551]) ).

fof(f13175,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f8538]) ).

fof(f13176,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f8577]) ).

fof(f13177,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f8564]) ).

fof(f13178,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2747]) ).

fof(f13179,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2766]) ).

fof(f13180,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2633]) ).

fof(f13181,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2652]) ).

fof(f13182,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2671]) ).

fof(f13183,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2709]) ).

fof(f13184,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f320]) ).

fof(f13185,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f321]) ).

fof(f13186,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f323]) ).

fof(f13187,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2614]) ).

fof(f13188,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2690]) ).

fof(f13189,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2728]) ).

fof(f13190,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f324]) ).

fof(f13191,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f325]) ).

fof(f13192,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f326]) ).

fof(f13193,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f2(ct,X3),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f327]) ).

fof(f13194,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f12214]) ).

fof(f13195,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f287]) ).

fof(f13196,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f288]) ).

fof(f13197,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f538]) ).

fof(f13198,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f546]) ).

fof(f13199,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f589]) ).

fof(f13200,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f598]) ).

fof(f13201,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f484]) ).

fof(f13202,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f491]) ).

fof(f13203,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3309]) ).

fof(f13204,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3331]) ).

fof(f13205,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f424]) ).

fof(f13206,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f477]) ).

fof(f13207,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3353]) ).

fof(f13208,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X3,empty_set)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5889]) ).

fof(f13209,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X3,empty_set)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5918]) ).

fof(f13210,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X3,cx)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6224]) ).

fof(f13211,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X3,cx)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6254]) ).

fof(f13212,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,f16(X3,a,cx,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3652]) ).

fof(f13213,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f339]) ).

fof(f13214,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f349]) ).

fof(f13215,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f379]) ).

fof(f13216,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f389]) ).

fof(f13217,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f289]) ).

fof(f13218,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f292]) ).

fof(f13219,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X3,empty_set))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3403]) ).

fof(f13220,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,f1(ct,f11(X3,cx))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3447]) ).

fof(f13221,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f310]) ).

fof(f13222,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X3,a,cx,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3674]) ).

fof(f13223,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f344]) ).

fof(f13224,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f354]) ).

fof(f13225,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f384]) ).

fof(f13226,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f394]) ).

fof(f13227,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f285]) ).

fof(f13228,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f286]) ).

fof(f13229,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X3,empty_set))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3425]) ).

fof(f13230,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f1(ct,f11(X3,cx))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3469]) ).

fof(f13231,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f314]) ).

fof(f13232,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f359]) ).

fof(f13233,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f364]) ).

fof(f13234,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f369]) ).

fof(f13235,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f374]) ).

fof(f13236,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f329]) ).

fof(f13237,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f334]) ).

fof(f13238,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f2(ct,X3))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f306]) ).

fof(f13239,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f16(X3,a,cx,ct))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3381]) ).

fof(f13240,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f1(ct,f11(X3,union_of_members(ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1146]) ).

fof(f13241,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f1(ct,f11(X3,intersection_of_members(ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f4387]) ).

fof(f13242,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f1(ct,f11(X3,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3229]) ).

fof(f13243,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,f1(ct,f11(X3,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3251]) ).

fof(f13244,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f12213]) ).

fof(f13245,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f279]) ).

fof(f13246,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f280]) ).

fof(f13247,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f539]) ).

fof(f13248,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f547]) ).

fof(f13249,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f590]) ).

fof(f13250,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f599]) ).

fof(f13251,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f485]) ).

fof(f13252,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f492]) ).

fof(f13253,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3310]) ).

fof(f13254,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3332]) ).

fof(f13255,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f425]) ).

fof(f13256,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f478]) ).

fof(f13257,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3354]) ).

fof(f13258,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X3,empty_set)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5890]) ).

fof(f13259,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X3,empty_set)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5919]) ).

fof(f13260,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X3,cx)),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6225]) ).

fof(f13261,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X3,cx)),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6255]) ).

fof(f13262,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X3,a,cx,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3653]) ).

fof(f13263,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f340]) ).

fof(f13264,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f350]) ).

fof(f13265,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f380]) ).

fof(f13266,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f390]) ).

fof(f13267,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f290]) ).

fof(f13268,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f293]) ).

fof(f13269,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X3,empty_set))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3404]) ).

fof(f13270,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f1(ct,f11(X3,cx))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3448]) ).

fof(f13271,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f311]) ).

fof(f13272,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X3,a,cx,ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3675]) ).

fof(f13273,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f345]) ).

fof(f13274,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f355]) ).

fof(f13275,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f385]) ).

fof(f13276,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f395]) ).

fof(f13277,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f281]) ).

fof(f13278,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f283]) ).

fof(f13279,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X3,empty_set))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3426]) ).

fof(f13280,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f1(ct,f11(X3,cx))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3470]) ).

fof(f13281,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f315]) ).

fof(f13282,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f360]) ).

fof(f13283,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f365]) ).

fof(f13284,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f370]) ).

fof(f13285,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f375]) ).

fof(f13286,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f330]) ).

fof(f13287,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f335]) ).

fof(f13288,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f2(ct,X3))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f307]) ).

fof(f13289,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f16(X3,a,cx,ct))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3382]) ).

fof(f13290,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f1(ct,f11(X3,union_of_members(ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1147]) ).

fof(f13291,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f1(ct,f11(X3,intersection_of_members(ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f4388]) ).

fof(f13292,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f1(ct,f11(X3,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3230]) ).

fof(f13293,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,f1(ct,f11(X3,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3252]) ).

fof(f13294,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f2(ct,X4))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f7082]) ).

fof(f13295,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2451]) ).

fof(f13296,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2452]) ).

fof(f13297,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f1(ct,f11(X4,union_of_members(ct))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f2339]) ).

fof(f13298,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,empty_set)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5826]) ).

fof(f13299,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,empty_set)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5827]) ).

fof(f13300,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,empty_set)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5862]) ).

fof(f13301,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,empty_set)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5863]) ).

fof(f13302,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,empty_set)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5864]) ).

fof(f13303,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,empty_set)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f5865]) ).

fof(f13304,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,cx)),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6160]) ).

fof(f13305,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,cx)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6161]) ).

fof(f13306,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,cx)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6196]) ).

fof(f13307,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,cx)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6197]) ).

fof(f13308,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,cx)),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6198]) ).

fof(f13309,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(f1(ct,f11(X3,cx)),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6199]) ).

fof(f13310,plain,
    ! [X0,X1,X2,X3] :
      ( limit_point(X3,a,cx,ct)
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f16(X3,a,cx,ct)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3357]) ).

fof(f13311,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3473]) ).

fof(f13312,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3475]) ).

fof(f13313,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f11979]) ).

fof(f13314,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3488]) ).

fof(f13315,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f4364]) ).

fof(f13316,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(cx,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3203]) ).

fof(f13317,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(empty_set,top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f3201]) ).

fof(f13318,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X4,union_of_members(ct))),top_of_basis(X3))
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,f1(ct,f11(X4,union_of_members(ct)))))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6683]) ).

fof(f13319,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(ct,X4),top_of_basis(X3))
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,f2(ct,X4)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1159]) ).

fof(f13320,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f6698]) ).

fof(f13321,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f4399]) ).

fof(f13322,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,union_of_members(ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f1083]) ).

fof(f13323,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),cx),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f274]) ).

fof(f13324,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),empty_set),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12215,f275]) ).

fof(f13325,definition,
    ! [X0,X1,X2,X3] :
      ( sQ580_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
        | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).

fof(f13326,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ580_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f13325]) ).

fof(f13328,plain,
    ( sQ317_spl
    | sQ580_spl ),
    inference(split_clause,[status(thm)],[f13320,f13325,f6885]) ).

fof(f13329,plain,
    ( sQ88_spl
    | sQ580_spl ),
    inference(split_clause,[status(thm)],[f13321,f13325,f4436]) ).

fof(f13334,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f11948,f116]) ).

fof(f13335,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | element_of_set(X2,empty_set)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f11948,f4407]) ).

fof(f13336,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | element_of_set(X2,empty_set)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f11948,f4396]) ).

fof(f13337,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),empty_set) ),
    inference(resolution,[status(thm)],[f11948,f3199]) ).

fof(f13338,plain,
    ( ~ sQ466_spl
    | sQ269_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f13335,f7926,f5324,f11947]) ).

fof(f13339,plain,
    ( ~ sQ466_spl
    | sQ269_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f13336,f4685,f5324,f11947]) ).

fof(f13340,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ element_of_set(X0,cx)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f11959,f116]) ).

fof(f13341,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | element_of_set(X2,cx)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f11959,f4407]) ).

fof(f13342,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | element_of_set(X2,cx)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f11959,f4396]) ).

fof(f13343,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),cx) ),
    inference(resolution,[status(thm)],[f11959,f3199]) ).

fof(f13344,plain,
    ( ~ sQ468_spl
    | sQ270_spl
    | sQ368_spl ),
    inference(split_clause,[status(thm)],[f13341,f7926,f5328,f11958]) ).

fof(f13345,plain,
    ( ~ sQ468_spl
    | sQ270_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f13342,f4685,f5328,f11958]) ).

fof(f13346,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | element_of_collection(f1(top_of_basis(X0),X1),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f11776,f114]) ).

fof(f13347,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | element_of_set(X0,f1(top_of_basis(X1),X0)) ),
    inference(resolution,[status(thm)],[f11776,f113]) ).

fof(f13351,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct) ),
    inference(resolution,[status(thm)],[f294,f12204]) ).

fof(f13352,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),ct) ),
    inference(resolution,[status(thm)],[f294,f119]) ).

fof(f13353,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f2011]) ).

fof(f13354,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f2012]) ).

fof(f13355,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f2153]) ).

fof(f13356,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f2154]) ).

fof(f13357,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f2299]) ).

fof(f13358,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f2300]) ).

fof(f13359,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f522]) ).

fof(f13360,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f523]) ).

fof(f13361,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f530]) ).

fof(f13362,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f531]) ).

fof(f13363,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f532]) ).

fof(f13364,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f533]) ).

fof(f13365,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f572]) ).

fof(f13366,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f573]) ).

fof(f13367,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f580]) ).

fof(f13368,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f581]) ).

fof(f13369,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f582]) ).

fof(f13370,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f583]) ).

fof(f13371,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f1609]) ).

fof(f13372,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f1610]) ).

fof(f13373,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f1873]) ).

fof(f13374,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f1874]) ).

fof(f13375,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f448]) ).

fof(f13376,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f449]) ).

fof(f13377,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f456]) ).

fof(f13378,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f457]) ).

fof(f13379,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f458]) ).

fof(f13380,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f459]) ).

fof(f13381,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f2537]) ).

fof(f13382,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f2538]) ).

fof(f13383,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2565]) ).

fof(f13384,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2569]) ).

fof(f13385,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f294,f2598]) ).

fof(f13386,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f294,f2599]) ).

fof(f13387,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f294,f2486]) ).

fof(f13388,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f294,f2897]) ).

fof(f13389,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct),
    inference(resolution,[status(thm)],[f294,f2898]) ).

fof(f13390,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f2829]) ).

fof(f13391,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f2830]) ).

fof(f13392,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2861]) ).

fof(f13393,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2865]) ).

fof(f13394,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f294,f2776]) ).

fof(f13395,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f1483]) ).

fof(f13396,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f1484]) ).

fof(f13397,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f1739]) ).

fof(f13398,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f1740]) ).

fof(f13399,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f410]) ).

fof(f13400,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f411]) ).

fof(f13401,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f418]) ).

fof(f13402,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f419]) ).

fof(f13403,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f420]) ).

fof(f13404,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f421]) ).

fof(f13405,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f294,f3022]) ).

fof(f13406,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f294,f3023]) ).

fof(f13407,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f2954]) ).

fof(f13408,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f2955]) ).

fof(f13409,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2986]) ).

fof(f13410,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2990]) ).

fof(f13411,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f294,f2901]) ).

fof(f13412,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f294,f318]) ).

fof(f13413,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f1145]) ).

fof(f13414,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f8551]) ).

fof(f13415,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f8538]) ).

fof(f13416,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f8577]) ).

fof(f13417,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f8564]) ).

fof(f13418,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f2747]) ).

fof(f13419,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f2766]) ).

fof(f13420,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2633]) ).

fof(f13421,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2652]) ).

fof(f13422,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2671]) ).

fof(f13423,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2709]) ).

fof(f13424,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f320]) ).

fof(f13425,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f321]) ).

fof(f13426,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f323]) ).

fof(f13427,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2614]) ).

fof(f13428,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2690]) ).

fof(f13429,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f2728]) ).

fof(f13430,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f324]) ).

fof(f13431,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f325]) ).

fof(f13432,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f326]) ).

fof(f13433,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f327]) ).

fof(f13434,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f12214]) ).

fof(f13435,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f294,f287]) ).

fof(f13436,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f294,f288]) ).

fof(f13437,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f538]) ).

fof(f13438,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f546]) ).

fof(f13439,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f589]) ).

fof(f13440,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f598]) ).

fof(f13441,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f484]) ).

fof(f13442,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f491]) ).

fof(f13443,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3309]) ).

fof(f13444,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3331]) ).

fof(f13445,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f424]) ).

fof(f13446,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f477]) ).

fof(f13447,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3353]) ).

fof(f13448,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f339]) ).

fof(f13449,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f349]) ).

fof(f13450,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f379]) ).

fof(f13451,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f389]) ).

fof(f13452,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f294,f289]) ).

fof(f13453,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f294,f292]) ).

fof(f13454,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f310]) ).

fof(f13455,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f344]) ).

fof(f13456,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f354]) ).

fof(f13457,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f384]) ).

fof(f13458,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f394]) ).

fof(f13459,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f294,f285]) ).

fof(f13460,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f294,f286]) ).

fof(f13461,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f314]) ).

fof(f13462,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f359]) ).

fof(f13463,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f364]) ).

fof(f13464,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f369]) ).

fof(f13465,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f374]) ).

fof(f13466,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f329]) ).

fof(f13467,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f334]) ).

fof(f13468,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f294,f306]) ).

fof(f13469,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f1146]) ).

fof(f13470,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f4387]) ).

fof(f13471,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f12213]) ).

fof(f13472,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f294,f279]) ).

fof(f13473,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f294,f280]) ).

fof(f13474,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f539]) ).

fof(f13475,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f547]) ).

fof(f13476,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f590]) ).

fof(f13477,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f599]) ).

fof(f13478,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f485]) ).

fof(f13479,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f492]) ).

fof(f13480,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3310]) ).

fof(f13481,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3332]) ).

fof(f13482,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f425]) ).

fof(f13483,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f478]) ).

fof(f13484,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3354]) ).

fof(f13485,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f340]) ).

fof(f13486,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f350]) ).

fof(f13487,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f380]) ).

fof(f13488,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f390]) ).

fof(f13489,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f294,f290]) ).

fof(f13490,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f294,f293]) ).

fof(f13491,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f311]) ).

fof(f13492,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f345]) ).

fof(f13493,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f294,f355]) ).

fof(f13494,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f385]) ).

fof(f13495,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f395]) ).

fof(f13496,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f294,f281]) ).

fof(f13497,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f294,f283]) ).

fof(f13498,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f294,f315]) ).

fof(f13499,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f360]) ).

fof(f13500,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f365]) ).

fof(f13501,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f370]) ).

fof(f13502,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f375]) ).

fof(f13503,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f294,f330]) ).

fof(f13504,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f294,f335]) ).

fof(f13505,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f294,f307]) ).

fof(f13506,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f1147]) ).

fof(f13507,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f4388]) ).

fof(f13508,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f294,f7082]) ).

fof(f13509,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f294,f2451]) ).

fof(f13510,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct) ),
    inference(resolution,[status(thm)],[f294,f2452]) ).

fof(f13511,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f294,f2339]) ).

fof(f13512,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3473]) ).

fof(f13513,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3475]) ).

fof(f13514,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f294,f11979]) ).

fof(f13515,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f294,f3488]) ).

fof(f13516,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f294,f4364]) ).

fof(f13517,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X1,union_of_members(ct))),top_of_basis(X0))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,f1(ct,f11(X1,union_of_members(ct)))))),ct) ),
    inference(resolution,[status(thm)],[f294,f6683]) ).

fof(f13518,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f294,f1159]) ).

fof(f13519,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f294,f6698]) ).

fof(f13520,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f294,f4399]) ).

fof(f13521,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f294,f1083]) ).

fof(f13522,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),cx),ct),
    inference(resolution,[status(thm)],[f294,f274]) ).

fof(f13523,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),ct),
    inference(resolution,[status(thm)],[f294,f275]) ).

fof(f13524,definition,
    ! [X0] :
      ( sQ581_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).

fof(f13525,plain,
    ! [X0] :
      ( ~ sQ581_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(component_clause,[status(thm)],[f13524]) ).

fof(f13527,plain,
    ( sQ317_spl
    | sQ581_spl ),
    inference(split_clause,[status(thm)],[f13519,f13524,f6885]) ).

fof(f13528,plain,
    ( sQ88_spl
    | sQ581_spl ),
    inference(split_clause,[status(thm)],[f13520,f13524,f4436]) ).

fof(f13530,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ437_spl
      | element_of_set(X2,f1(top_of_basis(X0),X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f13346,f4407]) ).

fof(f13531,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ437_spl
      | element_of_set(X2,f1(top_of_basis(X0),X3))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f13346,f4396]) ).

fof(f13532,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f1(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f13346,f3199]) ).

fof(f13533,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct),
    inference(resolution,[status(thm)],[f13522,f294]) ).

fof(f13534,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f13522,f12215]) ).

fof(f13535,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13522,f312]) ).

fof(f13536,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13522,f316]) ).

fof(f13537,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13522,f331]) ).

fof(f13538,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13522,f336]) ).

fof(f13539,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct),
    inference(resolution,[status(thm)],[f13522,f277]) ).

fof(f13540,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct),
    inference(resolution,[status(thm)],[f13522,f278]) ).

fof(f13541,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f13522,f276]) ).

fof(f13542,plain,
    open(intersection_of_sets(intersection_of_sets(cx,cx),cx),cx,ct),
    inference(resolution,[status(thm)],[f13522,f3035]) ).

fof(f13543,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13522,f308]) ).

fof(f13544,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f13522,f1148]) ).

fof(f13545,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13522,f116]) ).

fof(f13546,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f13522,f4407]) ).

fof(f13547,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f13522,f4396]) ).

fof(f13548,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),cx)) ),
    inference(resolution,[status(thm)],[f13522,f3199]) ).

fof(f13549,definition,
    ! [X1] :
      ( sQ582_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),cx)) ),
    introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).

fof(f13550,plain,
    ! [X0] :
      ( ~ sQ582_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx)) ),
    inference(component_clause,[status(thm)],[f13549]) ).

fof(f13552,plain,
    ( sQ582_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f13546,f7936,f13549]) ).

fof(f13553,plain,
    ( sQ582_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f13547,f4709,f13549]) ).

fof(f13554,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f13523,f294]) ).

fof(f13555,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f13523,f12215]) ).

fof(f13556,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13523,f312]) ).

fof(f13557,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13523,f316]) ).

fof(f13558,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13523,f331]) ).

fof(f13559,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13523,f336]) ).

fof(f13560,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f13523,f277]) ).

fof(f13561,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f13523,f278]) ).

fof(f13562,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f13523,f276]) ).

fof(f13563,plain,
    open(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),cx,ct),
    inference(resolution,[status(thm)],[f13523,f3035]) ).

fof(f13564,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13523,f308]) ).

fof(f13565,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f13523,f1148]) ).

fof(f13566,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13523,f116]) ).

fof(f13567,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f13523,f4407]) ).

fof(f13568,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f13523,f4396]) ).

fof(f13569,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)) ),
    inference(resolution,[status(thm)],[f13523,f3199]) ).

fof(f13570,definition,
    ! [X1] :
      ( sQ583_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),empty_set)) ),
    introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).

fof(f13571,plain,
    ! [X0] :
      ( ~ sQ583_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set)) ),
    inference(component_clause,[status(thm)],[f13570]) ).

fof(f13573,plain,
    ( sQ583_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f13567,f7936,f13570]) ).

fof(f13574,plain,
    ( sQ583_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f13568,f4709,f13570]) ).

fof(f13575,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f13542,f201]) ).

fof(f13576,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f13542,f184]) ).

fof(f13578,definition,
    ! [X0] :
      ( sQ584_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).

fof(f13579,plain,
    ! [X0] :
      ( ~ sQ584_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f13578]) ).

fof(f13581,plain,
    ( ~ sQ13_spl
    | sQ584_spl ),
    inference(split_clause,[status(thm)],[f13575,f13578,f1367]) ).

fof(f13582,definition,
    ! [X0,X1] :
      ( sQ585_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),cx),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).

fof(f13583,plain,
    ! [X0,X1] :
      ( ~ sQ585_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),cx),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f13582]) ).

fof(f13585,plain,
    ( ~ sQ13_spl
    | sQ585_spl ),
    inference(split_clause,[status(thm)],[f13576,f13582,f1367]) ).

fof(f13586,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f13563,f201]) ).

fof(f13587,plain,
    ! [X0,X1] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f13563,f184]) ).

fof(f13589,definition,
    ! [X0] :
      ( sQ586_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).

fof(f13590,plain,
    ! [X0] :
      ( ~ sQ586_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f13589]) ).

fof(f13592,plain,
    ( ~ sQ13_spl
    | sQ586_spl ),
    inference(split_clause,[status(thm)],[f13586,f13589,f1367]) ).

fof(f13593,definition,
    ! [X0,X1] :
      ( sQ587_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X1)
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition]) ).

fof(f13594,plain,
    ! [X0,X1] :
      ( ~ sQ587_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X1)
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f13593]) ).

fof(f13596,plain,
    ( ~ sQ13_spl
    | sQ587_spl ),
    inference(split_clause,[status(thm)],[f13587,f13593,f1367]) ).

fof(f13597,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f3021,f294]) ).

fof(f13598,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f3021,f12215]) ).

fof(f13599,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3021,f312]) ).

fof(f13600,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3021,f316]) ).

fof(f13601,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3021,f331]) ).

fof(f13602,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3021,f336]) ).

fof(f13603,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f3021,f277]) ).

fof(f13604,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f3021,f278]) ).

fof(f13605,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f3021,f276]) ).

fof(f13606,plain,
    open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f3021,f3035]) ).

fof(f13607,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3021,f308]) ).

fof(f13608,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3021,f1148]) ).

fof(f13609,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3021,f116]) ).

fof(f13610,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3021,f4407]) ).

fof(f13611,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3021,f4396]) ).

fof(f13612,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3021,f3199]) ).

fof(f13613,definition,
    ! [X1] :
      ( sQ588_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).

fof(f13614,plain,
    ! [X0] :
      ( ~ sQ588_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f13613]) ).

fof(f13616,plain,
    ( sQ588_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f13610,f7936,f13613]) ).

fof(f13617,plain,
    ( sQ588_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f13611,f4709,f13613]) ).

fof(f13618,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f3020,f294]) ).

fof(f13619,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f3020,f12215]) ).

fof(f13620,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3020,f312]) ).

fof(f13621,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3020,f316]) ).

fof(f13622,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3020,f331]) ).

fof(f13623,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3020,f336]) ).

fof(f13624,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f3020,f277]) ).

fof(f13625,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f3020,f278]) ).

fof(f13626,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f3020,f276]) ).

fof(f13627,plain,
    open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx)),cx,ct),
    inference(resolution,[status(thm)],[f3020,f3035]) ).

fof(f13628,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3020,f308]) ).

fof(f13629,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3020,f1148]) ).

fof(f13630,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3020,f116]) ).

fof(f13631,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3020,f4407]) ).

fof(f13632,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3020,f4396]) ).

fof(f13633,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3020,f3199]) ).

fof(f13634,definition,
    ! [X1] :
      ( sQ589_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).

fof(f13635,plain,
    ! [X0] :
      ( ~ sQ589_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f13634]) ).

fof(f13637,plain,
    ( sQ589_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f13631,f7936,f13634]) ).

fof(f13638,plain,
    ( sQ589_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f13632,f4709,f13634]) ).

fof(f13639,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct) ),
    inference(resolution,[status(thm)],[f284,f12204]) ).

fof(f13641,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2011]) ).

fof(f13642,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f2012]) ).

fof(f13643,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2153]) ).

fof(f13644,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f2154]) ).

fof(f13645,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2299]) ).

fof(f13646,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f2300]) ).

fof(f13647,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f522]) ).

fof(f13648,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f523]) ).

fof(f13649,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f530]) ).

fof(f13650,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f531]) ).

fof(f13651,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f532]) ).

fof(f13652,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f533]) ).

fof(f13653,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f572]) ).

fof(f13654,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f573]) ).

fof(f13655,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f580]) ).

fof(f13656,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f581]) ).

fof(f13657,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f582]) ).

fof(f13658,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f583]) ).

fof(f13659,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1609]) ).

fof(f13660,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1610]) ).

fof(f13661,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1873]) ).

fof(f13662,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1874]) ).

fof(f13663,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f448]) ).

fof(f13664,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f449]) ).

fof(f13665,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f456]) ).

fof(f13666,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f457]) ).

fof(f13667,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f458]) ).

fof(f13668,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f459]) ).

fof(f13669,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f2537]) ).

fof(f13670,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f2538]) ).

fof(f13671,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2565]) ).

fof(f13672,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2569]) ).

fof(f13673,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f2598]) ).

fof(f13674,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f284,f2599]) ).

fof(f13675,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f284,f2486]) ).

fof(f13676,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f2897]) ).

fof(f13677,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct),
    inference(resolution,[status(thm)],[f284,f2898]) ).

fof(f13678,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f2829]) ).

fof(f13679,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f2830]) ).

fof(f13680,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2861]) ).

fof(f13681,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2865]) ).

fof(f13682,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f284,f2776]) ).

fof(f13683,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f13523]) ).

fof(f13684,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct),
    inference(resolution,[status(thm)],[f284,f13522]) ).

fof(f13685,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1483]) ).

fof(f13686,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1484]) ).

fof(f13687,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f1739]) ).

fof(f13688,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f1740]) ).

fof(f13689,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f410]) ).

fof(f13690,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f411]) ).

fof(f13691,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f418]) ).

fof(f13692,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f419]) ).

fof(f13693,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f420]) ).

fof(f13694,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f421]) ).

fof(f13695,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f3022]) ).

fof(f13696,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f284,f3023]) ).

fof(f13697,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f2954]) ).

fof(f13698,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f2955]) ).

fof(f13699,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2986]) ).

fof(f13700,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f284,f3020]) ).

fof(f13701,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f3021]) ).

fof(f13702,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2990]) ).

fof(f13703,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f284,f2901]) ).

fof(f13704,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f284,f318]) ).

fof(f13705,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f1145]) ).

fof(f13706,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f8551]) ).

fof(f13707,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f8538]) ).

fof(f13708,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f8577]) ).

fof(f13709,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f8564]) ).

fof(f13710,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f2747]) ).

fof(f13711,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f2766]) ).

fof(f13712,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2633]) ).

fof(f13713,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2652]) ).

fof(f13714,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2671]) ).

fof(f13715,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2709]) ).

fof(f13716,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f320]) ).

fof(f13717,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f321]) ).

fof(f13718,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f323]) ).

fof(f13719,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2614]) ).

fof(f13720,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2690]) ).

fof(f13721,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f2728]) ).

fof(f13722,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f324]) ).

fof(f13723,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f325]) ).

fof(f13726,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f12214]) ).

fof(f13727,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f287]) ).

fof(f13728,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f284,f288]) ).

fof(f13729,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f538]) ).

fof(f13730,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f546]) ).

fof(f13731,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f589]) ).

fof(f13732,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f598]) ).

fof(f13733,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f484]) ).

fof(f13734,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f491]) ).

fof(f13735,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3309]) ).

fof(f13736,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3331]) ).

fof(f13737,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f424]) ).

fof(f13738,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f477]) ).

fof(f13739,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3353]) ).

fof(f13740,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f339]) ).

fof(f13741,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f349]) ).

fof(f13742,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f379]) ).

fof(f13743,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f389]) ).

fof(f13744,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f289]) ).

fof(f13745,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f284,f292]) ).

fof(f13746,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f310]) ).

fof(f13747,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f344]) ).

fof(f13748,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f354]) ).

fof(f13749,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f384]) ).

fof(f13750,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f394]) ).

fof(f13751,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f284,f285]) ).

fof(f13752,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f286]) ).

fof(f13753,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f314]) ).

fof(f13754,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f359]) ).

fof(f13755,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f364]) ).

fof(f13756,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f369]) ).

fof(f13757,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f374]) ).

fof(f13758,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f329]) ).

fof(f13759,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f334]) ).

fof(f13761,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f1146]) ).

fof(f13762,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f4387]) ).

fof(f13763,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f12213]) ).

fof(f13764,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f284,f279]) ).

fof(f13765,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f284,f280]) ).

fof(f13766,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f539]) ).

fof(f13767,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f547]) ).

fof(f13768,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f590]) ).

fof(f13769,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f599]) ).

fof(f13770,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f485]) ).

fof(f13771,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f492]) ).

fof(f13772,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3310]) ).

fof(f13773,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3332]) ).

fof(f13774,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f425]) ).

fof(f13775,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f478]) ).

fof(f13776,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3354]) ).

fof(f13777,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f340]) ).

fof(f13778,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f350]) ).

fof(f13779,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f380]) ).

fof(f13780,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f390]) ).

fof(f13781,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f290]) ).

fof(f13782,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f284,f293]) ).

fof(f13783,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f311]) ).

fof(f13784,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f345]) ).

fof(f13785,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f284,f355]) ).

fof(f13786,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f385]) ).

fof(f13787,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f395]) ).

fof(f13788,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f284,f281]) ).

fof(f13789,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f284,f283]) ).

fof(f13790,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f284,f315]) ).

fof(f13791,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f360]) ).

fof(f13792,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f365]) ).

fof(f13793,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f370]) ).

fof(f13794,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f375]) ).

fof(f13795,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f284,f330]) ).

fof(f13796,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f284,f335]) ).

fof(f13798,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f1147]) ).

fof(f13799,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f4388]) ).

fof(f13800,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f284,f7082]) ).

fof(f13801,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f284,f2451]) ).

fof(f13802,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct) ),
    inference(resolution,[status(thm)],[f284,f2452]) ).

fof(f13803,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f284,f2339]) ).

fof(f13804,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3473]) ).

fof(f13805,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3475]) ).

fof(f13806,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f284,f11979]) ).

fof(f13807,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f284,f3488]) ).

fof(f13808,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f284,f4364]) ).

fof(f13809,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X1,union_of_members(ct))),top_of_basis(X0))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,f1(ct,f11(X1,union_of_members(ct)))))),ct) ),
    inference(resolution,[status(thm)],[f284,f6683]) ).

fof(f13810,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f284,f1159]) ).

fof(f13811,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f284,f6698]) ).

fof(f13813,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f284,f1083]) ).

fof(f13816,plain,
    ( sQ317_spl
    | sQ90_spl ),
    inference(split_clause,[status(thm)],[f13811,f4444,f6885]) ).

fof(f13818,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct) ),
    inference(resolution,[status(thm)],[f282,f12204]) ).

fof(f13820,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2011]) ).

fof(f13821,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f2012]) ).

fof(f13822,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2153]) ).

fof(f13823,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f2154]) ).

fof(f13824,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2299]) ).

fof(f13825,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f2300]) ).

fof(f13826,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f522]) ).

fof(f13827,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f523]) ).

fof(f13828,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f530]) ).

fof(f13829,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f531]) ).

fof(f13830,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f532]) ).

fof(f13831,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f533]) ).

fof(f13832,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f572]) ).

fof(f13833,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f573]) ).

fof(f13834,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f580]) ).

fof(f13835,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f581]) ).

fof(f13836,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f582]) ).

fof(f13837,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f583]) ).

fof(f13838,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1609]) ).

fof(f13839,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1610]) ).

fof(f13840,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1873]) ).

fof(f13841,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1874]) ).

fof(f13842,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f448]) ).

fof(f13843,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f449]) ).

fof(f13844,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f456]) ).

fof(f13845,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f457]) ).

fof(f13846,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f458]) ).

fof(f13847,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f459]) ).

fof(f13848,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f2537]) ).

fof(f13849,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f2538]) ).

fof(f13850,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2565]) ).

fof(f13851,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2569]) ).

fof(f13852,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f2598]) ).

fof(f13853,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f282,f2599]) ).

fof(f13854,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f282,f2486]) ).

fof(f13855,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f2897]) ).

fof(f13856,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct),
    inference(resolution,[status(thm)],[f282,f2898]) ).

fof(f13857,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f2829]) ).

fof(f13858,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f2830]) ).

fof(f13859,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2861]) ).

fof(f13860,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2865]) ).

fof(f13861,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f282,f2776]) ).

fof(f13862,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f13523]) ).

fof(f13863,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct),
    inference(resolution,[status(thm)],[f282,f13522]) ).

fof(f13864,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1483]) ).

fof(f13865,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1484]) ).

fof(f13866,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f1739]) ).

fof(f13867,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f1740]) ).

fof(f13868,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f410]) ).

fof(f13869,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f411]) ).

fof(f13870,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f418]) ).

fof(f13871,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f419]) ).

fof(f13872,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f420]) ).

fof(f13873,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f421]) ).

fof(f13874,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f3022]) ).

fof(f13875,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f282,f3023]) ).

fof(f13876,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f2954]) ).

fof(f13877,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f2955]) ).

fof(f13878,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2986]) ).

fof(f13879,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f282,f3020]) ).

fof(f13880,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f282,f3021]) ).

fof(f13881,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2990]) ).

fof(f13882,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f282,f2901]) ).

fof(f13883,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f282,f318]) ).

fof(f13884,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f1145]) ).

fof(f13885,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f8551]) ).

fof(f13886,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f8538]) ).

fof(f13887,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f8577]) ).

fof(f13888,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f8564]) ).

fof(f13889,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f2747]) ).

fof(f13890,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f2766]) ).

fof(f13891,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2633]) ).

fof(f13892,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2652]) ).

fof(f13893,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2671]) ).

fof(f13894,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2709]) ).

fof(f13895,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f320]) ).

fof(f13896,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f321]) ).

fof(f13897,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f323]) ).

fof(f13898,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2614]) ).

fof(f13899,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2690]) ).

fof(f13900,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f2728]) ).

fof(f13901,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f324]) ).

fof(f13902,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f325]) ).

fof(f13905,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f12214]) ).

fof(f13906,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f287]) ).

fof(f13907,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)),ct),
    inference(resolution,[status(thm)],[f282,f288]) ).

fof(f13908,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f538]) ).

fof(f13909,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f546]) ).

fof(f13910,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f589]) ).

fof(f13911,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f598]) ).

fof(f13912,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f484]) ).

fof(f13913,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f491]) ).

fof(f13914,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3309]) ).

fof(f13915,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3331]) ).

fof(f13916,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f424]) ).

fof(f13917,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f477]) ).

fof(f13918,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3353]) ).

fof(f13919,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f339]) ).

fof(f13920,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f349]) ).

fof(f13921,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f379]) ).

fof(f13922,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f389]) ).

fof(f13923,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f282,f289]) ).

fof(f13924,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f282,f292]) ).

fof(f13925,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f310]) ).

fof(f13926,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f344]) ).

fof(f13927,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f354]) ).

fof(f13928,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f384]) ).

fof(f13929,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f394]) ).

fof(f13930,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f282,f285]) ).

fof(f13931,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f282,f286]) ).

fof(f13932,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f314]) ).

fof(f13933,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f359]) ).

fof(f13934,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f364]) ).

fof(f13935,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f369]) ).

fof(f13936,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f374]) ).

fof(f13937,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f329]) ).

fof(f13938,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f334]) ).

fof(f13940,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f1146]) ).

fof(f13941,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f4387]) ).

fof(f13942,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f12213]) ).

fof(f13943,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)),ct),
    inference(resolution,[status(thm)],[f282,f279]) ).

fof(f13944,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)),ct),
    inference(resolution,[status(thm)],[f282,f280]) ).

fof(f13945,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f539]) ).

fof(f13946,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f547]) ).

fof(f13947,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f590]) ).

fof(f13948,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f599]) ).

fof(f13949,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f485]) ).

fof(f13950,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f492]) ).

fof(f13951,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3310]) ).

fof(f13952,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3332]) ).

fof(f13953,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f425]) ).

fof(f13954,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f478]) ).

fof(f13955,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3354]) ).

fof(f13956,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f340]) ).

fof(f13957,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f350]) ).

fof(f13958,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f380]) ).

fof(f13959,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f390]) ).

fof(f13960,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f282,f290]) ).

fof(f13961,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f282,f293]) ).

fof(f13962,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f311]) ).

fof(f13963,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f345]) ).

fof(f13964,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f282,f355]) ).

fof(f13965,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f385]) ).

fof(f13966,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f395]) ).

fof(f13967,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f282,f281]) ).

fof(f13968,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f282,f283]) ).

fof(f13969,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f282,f315]) ).

fof(f13970,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f360]) ).

fof(f13971,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f365]) ).

fof(f13972,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f370]) ).

fof(f13973,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f375]) ).

fof(f13974,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f282,f330]) ).

fof(f13975,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f282,f335]) ).

fof(f13977,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f1147]) ).

fof(f13978,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f4388]) ).

fof(f13979,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f282,f7082]) ).

fof(f13980,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f282,f2451]) ).

fof(f13981,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct) ),
    inference(resolution,[status(thm)],[f282,f2452]) ).

fof(f13982,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f282,f2339]) ).

fof(f13983,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3473]) ).

fof(f13984,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3475]) ).

fof(f13985,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f282,f11979]) ).

fof(f13986,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f282,f3488]) ).

fof(f13987,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f282,f4364]) ).

fof(f13988,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X1,union_of_members(ct))),top_of_basis(X0))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,f1(ct,f11(X1,union_of_members(ct)))))),ct) ),
    inference(resolution,[status(thm)],[f282,f6683]) ).

fof(f13989,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f282,f1159]) ).

fof(f13990,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f282,f6698]) ).

fof(f13992,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f282,f1083]) ).

fof(f13995,plain,
    ( sQ317_spl
    | sQ91_spl ),
    inference(split_clause,[status(thm)],[f13990,f4448,f6885]) ).

fof(f13997,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X1,X2,X3),top_of_basis(X0))
      | element_of_set(f11(X0,interior(X1,X2,X3)),f13(X1,X2,X3,f11(X0,interior(X1,X2,X3)))) ),
    inference(resolution,[status(thm)],[f180,f165]) ).

fof(f13998,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,subspace_topology(X0,X1,X2)),top_of_basis(X5))
      | element_of_collection(f12(X0,X1,X2,f13(X3,X4,subspace_topology(X0,X1,X2),f11(X5,interior(X3,X4,subspace_topology(X0,X1,X2))))),X1) ),
    inference(resolution,[status(thm)],[f172,f12204]) ).

fof(f13999,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X1) ),
    inference(resolution,[status(thm)],[f172,f119]) ).

fof(f14000,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f6683]) ).

fof(f14001,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(subspace_topology(X0,X1,X2),X4),top_of_basis(X3))
      | element_of_set(X4,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f2(subspace_topology(X0,X1,X2),X4)))),X1) ),
    inference(resolution,[status(thm)],[f172,f1159]) ).

fof(f14002,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))),X1) ),
    inference(resolution,[status(thm)],[f172,f6698]) ).

fof(f14003,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))),X1) ),
    inference(resolution,[status(thm)],[f172,f4399]) ).

fof(f14004,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X1) ),
    inference(resolution,[status(thm)],[f172,f1083]) ).

fof(f14005,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X0) ),
    inference(resolution,[status(thm)],[f181,f165]) ).

fof(f14006,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2988,f282]) ).

fof(f14007,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2988,f284]) ).

fof(f14008,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2988,f294]) ).

fof(f14009,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2988,f12215]) ).

fof(f14010,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2988,f312]) ).

fof(f14011,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2988,f316]) ).

fof(f14012,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2988,f331]) ).

fof(f14013,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2988,f336]) ).

fof(f14014,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2988,f277]) ).

fof(f14015,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2988,f278]) ).

fof(f14016,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2988,f276]) ).

fof(f14017,plain,
    open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2988,f3035]) ).

fof(f14018,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2988,f308]) ).

fof(f14019,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2988,f1148]) ).

fof(f14020,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2988,f116]) ).

fof(f14021,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2988,f4407]) ).

fof(f14022,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2988,f4396]) ).

fof(f14023,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f2988,f3199]) ).

fof(f14024,definition,
    ! [X1] :
      ( sQ590_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).

fof(f14025,plain,
    ! [X0] :
      ( ~ sQ590_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f14024]) ).

fof(f14027,plain,
    ( sQ590_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14021,f7936,f14024]) ).

fof(f14028,plain,
    ( sQ590_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14022,f4709,f14024]) ).

fof(f14029,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2987,f282]) ).

fof(f14030,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2987,f284]) ).

fof(f14031,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2987,f294]) ).

fof(f14032,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2987,f12215]) ).

fof(f14033,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2987,f312]) ).

fof(f14034,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2987,f316]) ).

fof(f14035,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2987,f331]) ).

fof(f14036,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2987,f336]) ).

fof(f14037,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2987,f277]) ).

fof(f14038,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2987,f278]) ).

fof(f14039,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2987,f276]) ).

fof(f14040,plain,
    open(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx)),cx,ct),
    inference(resolution,[status(thm)],[f2987,f3035]) ).

fof(f14041,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2987,f308]) ).

fof(f14042,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2987,f1148]) ).

fof(f14043,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2987,f116]) ).

fof(f14044,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2987,f4407]) ).

fof(f14045,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2987,f4396]) ).

fof(f14046,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f2987,f3199]) ).

fof(f14047,definition,
    ! [X1] :
      ( sQ591_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).

fof(f14048,plain,
    ! [X0] :
      ( ~ sQ591_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f14047]) ).

fof(f14050,plain,
    ( sQ591_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14044,f7936,f14047]) ).

fof(f14051,plain,
    ( sQ591_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14045,f4709,f14047]) ).

fof(f14052,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2896,f282]) ).

fof(f14053,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2896,f284]) ).

fof(f14054,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2896,f294]) ).

fof(f14055,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2896,f12215]) ).

fof(f14056,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2896,f312]) ).

fof(f14057,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2896,f316]) ).

fof(f14058,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2896,f331]) ).

fof(f14059,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2896,f336]) ).

fof(f14060,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2896,f277]) ).

fof(f14061,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2896,f278]) ).

fof(f14062,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2896,f276]) ).

fof(f14063,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2896,f3035]) ).

fof(f14064,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2896,f308]) ).

fof(f14065,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2896,f1148]) ).

fof(f14066,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2896,f116]) ).

fof(f14067,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2896,f4407]) ).

fof(f14068,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2896,f4396]) ).

fof(f14069,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f2896,f3199]) ).

fof(f14070,definition,
    ! [X1] :
      ( sQ592_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).

fof(f14071,plain,
    ! [X0] :
      ( ~ sQ592_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f14070]) ).

fof(f14073,plain,
    ( sQ592_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14067,f7936,f14070]) ).

fof(f14074,plain,
    ( sQ592_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14068,f4709,f14070]) ).

fof(f14075,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2895,f282]) ).

fof(f14076,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2895,f284]) ).

fof(f14077,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2895,f294]) ).

fof(f14078,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2895,f12215]) ).

fof(f14079,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2895,f312]) ).

fof(f14080,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2895,f316]) ).

fof(f14081,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2895,f331]) ).

fof(f14082,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2895,f336]) ).

fof(f14083,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2895,f277]) ).

fof(f14084,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2895,f278]) ).

fof(f14085,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2895,f276]) ).

fof(f14086,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)),cx,ct),
    inference(resolution,[status(thm)],[f2895,f3035]) ).

fof(f14087,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2895,f308]) ).

fof(f14088,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2895,f1148]) ).

fof(f14089,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2895,f116]) ).

fof(f14090,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2895,f4407]) ).

fof(f14091,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2895,f4396]) ).

fof(f14092,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f2895,f3199]) ).

fof(f14093,definition,
    ! [X1] :
      ( sQ593_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).

fof(f14094,plain,
    ! [X0] :
      ( ~ sQ593_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f14093]) ).

fof(f14096,plain,
    ( sQ593_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14090,f7936,f14093]) ).

fof(f14097,plain,
    ( sQ593_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14091,f4709,f14093]) ).

fof(f14098,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2863,f282]) ).

fof(f14099,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2863,f284]) ).

fof(f14100,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2863,f294]) ).

fof(f14101,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2863,f12215]) ).

fof(f14102,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2863,f312]) ).

fof(f14103,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2863,f316]) ).

fof(f14104,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2863,f331]) ).

fof(f14105,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2863,f336]) ).

fof(f14106,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2863,f277]) ).

fof(f14107,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2863,f278]) ).

fof(f14108,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2863,f276]) ).

fof(f14109,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2863,f3035]) ).

fof(f14110,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2863,f308]) ).

fof(f14111,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2863,f1148]) ).

fof(f14112,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2863,f116]) ).

fof(f14113,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2863,f4407]) ).

fof(f14114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2863,f4396]) ).

fof(f14115,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f2863,f3199]) ).

fof(f14116,definition,
    ! [X1] :
      ( sQ594_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).

fof(f14117,plain,
    ! [X0] :
      ( ~ sQ594_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f14116]) ).

fof(f14119,plain,
    ( sQ594_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14113,f7936,f14116]) ).

fof(f14120,plain,
    ( sQ594_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14114,f4709,f14116]) ).

fof(f14121,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2862,f282]) ).

fof(f14122,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2862,f284]) ).

fof(f14123,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2862,f294]) ).

fof(f14124,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2862,f12215]) ).

fof(f14125,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2862,f312]) ).

fof(f14126,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2862,f316]) ).

fof(f14127,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2862,f331]) ).

fof(f14128,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2862,f336]) ).

fof(f14129,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2862,f277]) ).

fof(f14130,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2862,f278]) ).

fof(f14131,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2862,f276]) ).

fof(f14132,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)),cx,ct),
    inference(resolution,[status(thm)],[f2862,f3035]) ).

fof(f14133,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2862,f308]) ).

fof(f14134,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2862,f1148]) ).

fof(f14135,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2862,f116]) ).

fof(f14136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2862,f4407]) ).

fof(f14137,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2862,f4396]) ).

fof(f14138,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f2862,f3199]) ).

fof(f14139,definition,
    ! [X1] :
      ( sQ595_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).

fof(f14140,plain,
    ! [X0] :
      ( ~ sQ595_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f14139]) ).

fof(f14142,plain,
    ( sQ595_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14136,f7936,f14139]) ).

fof(f14143,plain,
    ( sQ595_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14137,f4709,f14139]) ).

fof(f14144,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2768,f282]) ).

fof(f14145,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2768,f284]) ).

fof(f14146,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2768,f294]) ).

fof(f14147,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2768,f12215]) ).

fof(f14148,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2768,f312]) ).

fof(f14149,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2768,f316]) ).

fof(f14150,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2768,f331]) ).

fof(f14151,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2768,f336]) ).

fof(f14152,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2768,f277]) ).

fof(f14153,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2768,f278]) ).

fof(f14154,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2768,f276]) ).

fof(f14155,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),cx,ct),
    inference(resolution,[status(thm)],[f2768,f3035]) ).

fof(f14156,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2768,f308]) ).

fof(f14157,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2768,f1148]) ).

fof(f14158,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2768,f116]) ).

fof(f14159,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2768,f4407]) ).

fof(f14160,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2768,f4396]) ).

fof(f14161,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))) ),
    inference(resolution,[status(thm)],[f2768,f3199]) ).

fof(f14162,definition,
    ! [X1] :
      ( sQ596_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))) ),
    introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).

fof(f14163,plain,
    ! [X0] :
      ( ~ sQ596_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))) ),
    inference(component_clause,[status(thm)],[f14162]) ).

fof(f14165,plain,
    ( sQ596_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14159,f7936,f14162]) ).

fof(f14166,plain,
    ( sQ596_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14160,f4709,f14162]) ).

fof(f14167,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2767,f282]) ).

fof(f14168,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2767,f284]) ).

fof(f14169,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2767,f294]) ).

fof(f14170,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2767,f12215]) ).

fof(f14171,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2767,f312]) ).

fof(f14172,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2767,f316]) ).

fof(f14173,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2767,f331]) ).

fof(f14174,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2767,f336]) ).

fof(f14175,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2767,f277]) ).

fof(f14176,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f2767,f278]) ).

fof(f14177,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2767,f276]) ).

fof(f14178,plain,
    open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),cx,ct),
    inference(resolution,[status(thm)],[f2767,f3035]) ).

fof(f14179,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2767,f308]) ).

fof(f14180,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2767,f1148]) ).

fof(f14181,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2767,f116]) ).

fof(f14182,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2767,f4407]) ).

fof(f14183,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2767,f4396]) ).

fof(f14184,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))) ),
    inference(resolution,[status(thm)],[f2767,f3199]) ).

fof(f14185,definition,
    ! [X1] :
      ( sQ597_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))) ),
    introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).

fof(f14186,plain,
    ! [X0] :
      ( ~ sQ597_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))) ),
    inference(component_clause,[status(thm)],[f14185]) ).

fof(f14188,plain,
    ( sQ597_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14182,f7936,f14185]) ).

fof(f14189,plain,
    ( sQ597_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14183,f4709,f14185]) ).

fof(f14190,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2749,f282]) ).

fof(f14191,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2749,f284]) ).

fof(f14192,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2749,f294]) ).

fof(f14193,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2749,f12215]) ).

fof(f14194,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2749,f312]) ).

fof(f14195,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2749,f316]) ).

fof(f14196,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2749,f331]) ).

fof(f14197,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2749,f336]) ).

fof(f14198,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2749,f277]) ).

fof(f14199,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2749,f278]) ).

fof(f14200,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2749,f276]) ).

fof(f14201,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2749,f3035]) ).

fof(f14202,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2749,f308]) ).

fof(f14203,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2749,f1148]) ).

fof(f14204,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2749,f116]) ).

fof(f14205,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2749,f4407]) ).

fof(f14206,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2749,f4396]) ).

fof(f14207,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))) ),
    inference(resolution,[status(thm)],[f2749,f3199]) ).

fof(f14208,definition,
    ! [X1] :
      ( sQ598_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).

fof(f14209,plain,
    ! [X0] :
      ( ~ sQ598_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))) ),
    inference(component_clause,[status(thm)],[f14208]) ).

fof(f14211,plain,
    ( sQ598_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14205,f7936,f14208]) ).

fof(f14212,plain,
    ( sQ598_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14206,f4709,f14208]) ).

fof(f14213,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2748,f282]) ).

fof(f14214,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2748,f284]) ).

fof(f14215,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2748,f294]) ).

fof(f14216,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2748,f12215]) ).

fof(f14217,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2748,f312]) ).

fof(f14218,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2748,f316]) ).

fof(f14219,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2748,f331]) ).

fof(f14220,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2748,f336]) ).

fof(f14221,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2748,f277]) ).

fof(f14222,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f2748,f278]) ).

fof(f14223,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2748,f276]) ).

fof(f14224,plain,
    open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2748,f3035]) ).

fof(f14225,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2748,f308]) ).

fof(f14226,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2748,f1148]) ).

fof(f14227,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2748,f116]) ).

fof(f14228,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2748,f4407]) ).

fof(f14229,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2748,f4396]) ).

fof(f14230,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))) ),
    inference(resolution,[status(thm)],[f2748,f3199]) ).

fof(f14231,definition,
    ! [X1] :
      ( sQ599_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).

fof(f14232,plain,
    ! [X0] :
      ( ~ sQ599_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))) ),
    inference(component_clause,[status(thm)],[f14231]) ).

fof(f14234,plain,
    ( sQ599_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14228,f7936,f14231]) ).

fof(f14235,plain,
    ( sQ599_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14229,f4709,f14231]) ).

fof(f14236,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2730,f282]) ).

fof(f14237,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2730,f284]) ).

fof(f14238,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2730,f294]) ).

fof(f14239,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2730,f12215]) ).

fof(f14240,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2730,f312]) ).

fof(f14241,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2730,f316]) ).

fof(f14242,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2730,f331]) ).

fof(f14243,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2730,f336]) ).

fof(f14244,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2730,f277]) ).

fof(f14245,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2730,f278]) ).

fof(f14246,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2730,f276]) ).

fof(f14247,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2730,f3035]) ).

fof(f14248,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2730,f308]) ).

fof(f14249,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2730,f1148]) ).

fof(f14250,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2730,f116]) ).

fof(f14251,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2730,f4407]) ).

fof(f14252,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2730,f4396]) ).

fof(f14253,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f2730,f3199]) ).

fof(f14254,definition,
    ! [X1] :
      ( sQ600_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).

fof(f14255,plain,
    ! [X0] :
      ( ~ sQ600_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f14254]) ).

fof(f14257,plain,
    ( sQ600_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14251,f7936,f14254]) ).

fof(f14258,plain,
    ( sQ600_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14252,f4709,f14254]) ).

fof(f14259,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2729,f282]) ).

fof(f14260,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2729,f284]) ).

fof(f14261,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2729,f294]) ).

fof(f14262,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2729,f12215]) ).

fof(f14263,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2729,f312]) ).

fof(f14264,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2729,f316]) ).

fof(f14265,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2729,f331]) ).

fof(f14266,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2729,f336]) ).

fof(f14267,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2729,f277]) ).

fof(f14268,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2729,f278]) ).

fof(f14269,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2729,f276]) ).

fof(f14270,plain,
    open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2729,f3035]) ).

fof(f14271,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2729,f308]) ).

fof(f14272,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2729,f1148]) ).

fof(f14273,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2729,f116]) ).

fof(f14274,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2729,f4407]) ).

fof(f14275,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2729,f4396]) ).

fof(f14276,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f2729,f3199]) ).

fof(f14277,definition,
    ! [X1] :
      ( sQ601_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).

fof(f14278,plain,
    ! [X0] :
      ( ~ sQ601_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f14277]) ).

fof(f14280,plain,
    ( sQ601_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14274,f7936,f14277]) ).

fof(f14281,plain,
    ( sQ601_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14275,f4709,f14277]) ).

fof(f14282,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2711,f282]) ).

fof(f14283,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2711,f284]) ).

fof(f14284,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2711,f294]) ).

fof(f14285,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2711,f12215]) ).

fof(f14286,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2711,f312]) ).

fof(f14287,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2711,f316]) ).

fof(f14288,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2711,f331]) ).

fof(f14289,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2711,f336]) ).

fof(f14290,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2711,f277]) ).

fof(f14291,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2711,f278]) ).

fof(f14292,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2711,f276]) ).

fof(f14293,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2711,f3035]) ).

fof(f14294,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2711,f308]) ).

fof(f14295,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2711,f1148]) ).

fof(f14296,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2711,f116]) ).

fof(f14297,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2711,f4407]) ).

fof(f14298,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2711,f4396]) ).

fof(f14299,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f2711,f3199]) ).

fof(f14300,definition,
    ! [X1] :
      ( sQ602_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).

fof(f14301,plain,
    ! [X0] :
      ( ~ sQ602_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f14300]) ).

fof(f14303,plain,
    ( sQ602_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14297,f7936,f14300]) ).

fof(f14304,plain,
    ( sQ602_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14298,f4709,f14300]) ).

fof(f14305,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2710,f282]) ).

fof(f14306,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2710,f284]) ).

fof(f14307,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2710,f294]) ).

fof(f14308,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2710,f12215]) ).

fof(f14309,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2710,f312]) ).

fof(f14310,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2710,f316]) ).

fof(f14311,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2710,f331]) ).

fof(f14312,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2710,f336]) ).

fof(f14313,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2710,f277]) ).

fof(f14314,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f2710,f278]) ).

fof(f14315,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2710,f276]) ).

fof(f14316,plain,
    open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2710,f3035]) ).

fof(f14317,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2710,f308]) ).

fof(f14318,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2710,f1148]) ).

fof(f14319,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2710,f116]) ).

fof(f14320,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2710,f4407]) ).

fof(f14321,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2710,f4396]) ).

fof(f14322,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    inference(resolution,[status(thm)],[f2710,f3199]) ).

fof(f14323,definition,
    ! [X1] :
      ( sQ603_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).

fof(f14324,plain,
    ! [X0] :
      ( ~ sQ603_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))) ),
    inference(component_clause,[status(thm)],[f14323]) ).

fof(f14326,plain,
    ( sQ603_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14320,f7936,f14323]) ).

fof(f14327,plain,
    ( sQ603_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14321,f4709,f14323]) ).

fof(f14328,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2692,f282]) ).

fof(f14329,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2692,f284]) ).

fof(f14330,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2692,f294]) ).

fof(f14331,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2692,f12215]) ).

fof(f14332,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2692,f312]) ).

fof(f14333,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2692,f316]) ).

fof(f14334,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2692,f331]) ).

fof(f14335,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2692,f336]) ).

fof(f14336,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2692,f277]) ).

fof(f14337,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2692,f278]) ).

fof(f14338,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2692,f276]) ).

fof(f14339,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f2692,f3035]) ).

fof(f14340,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2692,f308]) ).

fof(f14341,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2692,f1148]) ).

fof(f14342,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2692,f116]) ).

fof(f14343,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2692,f4407]) ).

fof(f14344,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2692,f4396]) ).

fof(f14345,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f2692,f3199]) ).

fof(f14346,definition,
    ! [X1] :
      ( sQ604_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).

fof(f14347,plain,
    ! [X0] :
      ( ~ sQ604_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f14346]) ).

fof(f14349,plain,
    ( sQ604_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f14343,f7936,f14346]) ).

fof(f14350,plain,
    ( sQ604_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f14344,f4709,f14346]) ).

fof(f14351,plain,
    ! [X0,X1] :
      ( ~ sQ12_spl
      | element_of_set(f15(X1,a,cx,ct,X0),intersection_of_sets(X0,a))
      | ~ neighborhood(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f206,f1365]) ).

fof(f14352,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(f6(cx,ct,X0,X1,X2),ct)
      | ~ element_of_set(X0,intersection_of_sets(X1,X2))
      | ~ element_of_collection(X2,ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f155,f1115]) ).

fof(f14353,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X0,f6(cx,ct,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2))
      | ~ element_of_collection(X2,ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f154,f1115]) ).

fof(f14354,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f282]) ).

fof(f14355,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f284]) ).

fof(f14356,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f294]) ).

fof(f14357,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f12215]) ).

fof(f14358,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f312]) ).

fof(f14359,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f316]) ).

fof(f14360,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f331]) ).

fof(f14361,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f336]) ).

fof(f14362,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f277]) ).

fof(f14363,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f278]) ).

fof(f14364,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f276]) ).

fof(f14365,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f3035]) ).

fof(f14366,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f308]) ).

fof(f14367,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f1148]) ).

fof(f14368,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f116]) ).

fof(f14369,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f4407]) ).

fof(f14370,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f4396]) ).

fof(f14371,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f3199]) ).

fof(f14372,definition,
    ! [X0,X2] :
      ( sQ605_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).

fof(f14373,plain,
    ! [X0,X1] :
      ( ~ sQ605_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14372]) ).

fof(f14375,plain,
    ( sQ369_spl
    | sQ605_spl ),
    inference(split_clause,[status(thm)],[f14369,f14372,f7936]) ).

fof(f14376,plain,
    ( sQ115_spl
    | sQ605_spl ),
    inference(split_clause,[status(thm)],[f14370,f14372,f4709]) ).

fof(f14377,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14365,f201]) ).

fof(f14378,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14365,f184]) ).

fof(f14380,definition,
    ! [X0,X1] :
      ( sQ606_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ606_spl])],[split_symbol_definition]) ).

fof(f14381,plain,
    ! [X0,X1] :
      ( ~ sQ606_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14380]) ).

fof(f14383,plain,
    ( ~ sQ13_spl
    | sQ606_spl ),
    inference(split_clause,[status(thm)],[f14377,f14380,f1367]) ).

fof(f14384,definition,
    ! [X0,X1,X2] :
      ( sQ607_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).

fof(f14385,plain,
    ! [X0,X1,X2] :
      ( ~ sQ607_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14384]) ).

fof(f14387,plain,
    ( ~ sQ13_spl
    | sQ607_spl ),
    inference(split_clause,[status(thm)],[f14378,f14384,f1367]) ).

fof(f14388,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f282]) ).

fof(f14389,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f284]) ).

fof(f14390,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f294]) ).

fof(f14391,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f12215]) ).

fof(f14392,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f312]) ).

fof(f14393,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f316]) ).

fof(f14394,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f331]) ).

fof(f14395,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f336]) ).

fof(f14396,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f277]) ).

fof(f14397,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f278]) ).

fof(f14398,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f276]) ).

fof(f14399,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f3035]) ).

fof(f14400,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f308]) ).

fof(f14401,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f1148]) ).

fof(f14402,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f116]) ).

fof(f14403,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f4407]) ).

fof(f14404,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f4396]) ).

fof(f14405,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13432,f3199]) ).

fof(f14406,definition,
    ! [X0,X2] :
      ( sQ608_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).

fof(f14407,plain,
    ! [X0,X1] :
      ( ~ sQ608_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14406]) ).

fof(f14409,plain,
    ( sQ369_spl
    | sQ608_spl ),
    inference(split_clause,[status(thm)],[f14403,f14406,f7936]) ).

fof(f14410,plain,
    ( sQ115_spl
    | sQ608_spl ),
    inference(split_clause,[status(thm)],[f14404,f14406,f4709]) ).

fof(f14411,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f282]) ).

fof(f14412,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f284]) ).

fof(f14413,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f294]) ).

fof(f14414,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f12215]) ).

fof(f14415,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f312]) ).

fof(f14416,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f316]) ).

fof(f14417,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f331]) ).

fof(f14418,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f336]) ).

fof(f14419,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f277]) ).

fof(f14420,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f278]) ).

fof(f14421,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f276]) ).

fof(f14422,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f3035]) ).

fof(f14423,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f308]) ).

fof(f14424,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f1148]) ).

fof(f14425,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f116]) ).

fof(f14426,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f4407]) ).

fof(f14427,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f4396]) ).

fof(f14428,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13433,f3199]) ).

fof(f14429,definition,
    ! [X0,X2] :
      ( sQ609_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ609_spl])],[split_symbol_definition]) ).

fof(f14430,plain,
    ! [X0,X1] :
      ( ~ sQ609_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14429]) ).

fof(f14432,plain,
    ( sQ369_spl
    | sQ609_spl ),
    inference(split_clause,[status(thm)],[f14426,f14429,f7936]) ).

fof(f14433,plain,
    ( sQ115_spl
    | sQ609_spl ),
    inference(split_clause,[status(thm)],[f14427,f14429,f4709]) ).

fof(f14434,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f282]) ).

fof(f14435,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f284]) ).

fof(f14436,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f294]) ).

fof(f14437,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f12215]) ).

fof(f14438,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f312]) ).

fof(f14439,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f316]) ).

fof(f14440,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f331]) ).

fof(f14441,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f336]) ).

fof(f14442,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f277]) ).

fof(f14443,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f278]) ).

fof(f14444,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f276]) ).

fof(f14445,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f3035]) ).

fof(f14446,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f308]) ).

fof(f14447,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f1148]) ).

fof(f14448,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f116]) ).

fof(f14449,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f4407]) ).

fof(f14450,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f4396]) ).

fof(f14451,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13468,f3199]) ).

fof(f14452,definition,
    ! [X0,X2] :
      ( sQ610_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).

fof(f14453,plain,
    ! [X0,X1] :
      ( ~ sQ610_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14452]) ).

fof(f14455,plain,
    ( sQ369_spl
    | sQ610_spl ),
    inference(split_clause,[status(thm)],[f14449,f14452,f7936]) ).

fof(f14456,plain,
    ( sQ115_spl
    | sQ610_spl ),
    inference(split_clause,[status(thm)],[f14450,f14452,f4709]) ).

fof(f14457,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f282]) ).

fof(f14458,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f284]) ).

fof(f14459,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f294]) ).

fof(f14460,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f12215]) ).

fof(f14461,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f312]) ).

fof(f14462,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f316]) ).

fof(f14463,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f331]) ).

fof(f14464,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f336]) ).

fof(f14465,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f277]) ).

fof(f14466,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f278]) ).

fof(f14467,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f276]) ).

fof(f14468,plain,
    ! [X0] :
      ( open(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f3035]) ).

fof(f14469,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f308]) ).

fof(f14470,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f1148]) ).

fof(f14471,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f116]) ).

fof(f14472,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f4407]) ).

fof(f14473,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f4396]) ).

fof(f14474,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13505,f3199]) ).

fof(f14475,definition,
    ! [X0,X2] :
      ( sQ611_spl
    <=> ( element_of_set(X2,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).

fof(f14476,plain,
    ! [X0,X1] :
      ( ~ sQ611_spl
      | element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14475]) ).

fof(f14478,plain,
    ( sQ369_spl
    | sQ611_spl ),
    inference(split_clause,[status(thm)],[f14472,f14475,f7936]) ).

fof(f14479,plain,
    ( sQ115_spl
    | sQ611_spl ),
    inference(split_clause,[status(thm)],[f14473,f14475,f4709]) ).

fof(f14480,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f282]) ).

fof(f14481,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f284]) ).

fof(f14482,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f294]) ).

fof(f14483,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f12215]) ).

fof(f14484,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f312]) ).

fof(f14485,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f316]) ).

fof(f14486,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f331]) ).

fof(f14487,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f336]) ).

fof(f14488,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f277]) ).

fof(f14489,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f278]) ).

fof(f14490,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f276]) ).

fof(f14491,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f3035]) ).

fof(f14492,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f308]) ).

fof(f14493,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f1148]) ).

fof(f14494,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f116]) ).

fof(f14495,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f4407]) ).

fof(f14496,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f4396]) ).

fof(f14497,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13543,f3199]) ).

fof(f14498,definition,
    ! [X0,X2] :
      ( sQ612_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).

fof(f14499,plain,
    ! [X0,X1] :
      ( ~ sQ612_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14498]) ).

fof(f14501,plain,
    ( sQ369_spl
    | sQ612_spl ),
    inference(split_clause,[status(thm)],[f14495,f14498,f7936]) ).

fof(f14502,plain,
    ( sQ115_spl
    | sQ612_spl ),
    inference(split_clause,[status(thm)],[f14496,f14498,f4709]) ).

fof(f14503,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f282]) ).

fof(f14504,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f284]) ).

fof(f14505,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f294]) ).

fof(f14506,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f12215]) ).

fof(f14507,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f312]) ).

fof(f14508,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f316]) ).

fof(f14509,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f331]) ).

fof(f14510,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f336]) ).

fof(f14511,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f277]) ).

fof(f14512,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f278]) ).

fof(f14513,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f276]) ).

fof(f14514,plain,
    ! [X0] :
      ( open(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f3035]) ).

fof(f14515,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f308]) ).

fof(f14516,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f1148]) ).

fof(f14517,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f116]) ).

fof(f14518,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f4407]) ).

fof(f14519,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f4396]) ).

fof(f14520,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13564,f3199]) ).

fof(f14521,definition,
    ! [X0,X2] :
      ( sQ613_spl
    <=> ( element_of_set(X2,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).

fof(f14522,plain,
    ! [X0,X1] :
      ( ~ sQ613_spl
      | element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14521]) ).

fof(f14524,plain,
    ( sQ369_spl
    | sQ613_spl ),
    inference(split_clause,[status(thm)],[f14518,f14521,f7936]) ).

fof(f14525,plain,
    ( sQ115_spl
    | sQ613_spl ),
    inference(split_clause,[status(thm)],[f14519,f14521,f4709]) ).

fof(f14526,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f282]) ).

fof(f14527,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f284]) ).

fof(f14528,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f294]) ).

fof(f14529,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f12215]) ).

fof(f14530,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f312]) ).

fof(f14531,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f316]) ).

fof(f14532,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f331]) ).

fof(f14533,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f336]) ).

fof(f14534,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f277]) ).

fof(f14535,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f278]) ).

fof(f14536,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f276]) ).

fof(f14537,plain,
    ! [X0] :
      ( open(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f3035]) ).

fof(f14538,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f308]) ).

fof(f14539,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f1148]) ).

fof(f14540,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f116]) ).

fof(f14541,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f4407]) ).

fof(f14542,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f4396]) ).

fof(f14543,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14362,f3199]) ).

fof(f14544,definition,
    ! [X0,X2] :
      ( sQ614_spl
    <=> ( element_of_set(X2,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition]) ).

fof(f14545,plain,
    ! [X0,X1] :
      ( ~ sQ614_spl
      | element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14544]) ).

fof(f14547,plain,
    ( sQ369_spl
    | sQ614_spl ),
    inference(split_clause,[status(thm)],[f14541,f14544,f7936]) ).

fof(f14548,plain,
    ( sQ115_spl
    | sQ614_spl ),
    inference(split_clause,[status(thm)],[f14542,f14544,f4709]) ).

fof(f14549,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f282]) ).

fof(f14550,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f284]) ).

fof(f14551,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f294]) ).

fof(f14552,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f12215]) ).

fof(f14553,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f312]) ).

fof(f14554,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f316]) ).

fof(f14555,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f331]) ).

fof(f14556,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f336]) ).

fof(f14557,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f277]) ).

fof(f14558,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f278]) ).

fof(f14559,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f276]) ).

fof(f14560,plain,
    ! [X0] :
      ( open(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f3035]) ).

fof(f14561,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f308]) ).

fof(f14562,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f1148]) ).

fof(f14563,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(X1,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f116]) ).

fof(f14564,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_collection(f1(ct,f11(X1,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f4407]) ).

fof(f14565,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(f11(X1,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f4396]) ).

fof(f14566,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14363,f3199]) ).

fof(f14567,definition,
    ! [X0,X2] :
      ( sQ615_spl
    <=> ( element_of_set(X2,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).

fof(f14568,plain,
    ! [X0,X1] :
      ( ~ sQ615_spl
      | element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14567]) ).

fof(f14570,plain,
    ( sQ369_spl
    | sQ615_spl ),
    inference(split_clause,[status(thm)],[f14564,f14567,f7936]) ).

fof(f14571,plain,
    ( sQ115_spl
    | sQ615_spl ),
    inference(split_clause,[status(thm)],[f14565,f14567,f4709]) ).

fof(f14572,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3154,f201]) ).

fof(f14573,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3154,f184]) ).

fof(f14575,definition,
    ! [X0,X1] :
      ( sQ616_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).

fof(f14576,plain,
    ! [X0,X1] :
      ( ~ sQ616_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14575]) ).

fof(f14578,plain,
    ( ~ sQ13_spl
    | sQ616_spl ),
    inference(split_clause,[status(thm)],[f14572,f14575,f1367]) ).

fof(f14579,definition,
    ! [X0,X1,X2] :
      ( sQ617_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).

fof(f14580,plain,
    ! [X0,X1,X2] :
      ( ~ sQ617_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14579]) ).

fof(f14582,plain,
    ( ~ sQ13_spl
    | sQ617_spl ),
    inference(split_clause,[status(thm)],[f14573,f14579,f1367]) ).

fof(f14583,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3153,f201]) ).

fof(f14584,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3153,f184]) ).

fof(f14586,definition,
    ! [X0,X1] :
      ( sQ618_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).

fof(f14587,plain,
    ! [X0,X1] :
      ( ~ sQ618_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14586]) ).

fof(f14589,plain,
    ( ~ sQ13_spl
    | sQ618_spl ),
    inference(split_clause,[status(thm)],[f14583,f14586,f1367]) ).

fof(f14590,definition,
    ! [X0,X1,X2] :
      ( sQ619_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).

fof(f14591,plain,
    ! [X0,X1,X2] :
      ( ~ sQ619_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14590]) ).

fof(f14593,plain,
    ( ~ sQ13_spl
    | sQ619_spl ),
    inference(split_clause,[status(thm)],[f14584,f14590,f1367]) ).

fof(f14594,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3152,f201]) ).

fof(f14595,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3152,f184]) ).

fof(f14597,definition,
    ! [X0,X1] :
      ( sQ620_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition]) ).

fof(f14598,plain,
    ! [X0,X1] :
      ( ~ sQ620_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14597]) ).

fof(f14600,plain,
    ( ~ sQ13_spl
    | sQ620_spl ),
    inference(split_clause,[status(thm)],[f14594,f14597,f1367]) ).

fof(f14601,definition,
    ! [X0,X1,X2] :
      ( sQ621_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition]) ).

fof(f14602,plain,
    ! [X0,X1,X2] :
      ( ~ sQ621_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14601]) ).

fof(f14604,plain,
    ( ~ sQ13_spl
    | sQ621_spl ),
    inference(split_clause,[status(thm)],[f14595,f14601,f1367]) ).

fof(f14605,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3151,f201]) ).

fof(f14606,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3151,f184]) ).

fof(f14608,definition,
    ! [X0,X1] :
      ( sQ622_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ622_spl])],[split_symbol_definition]) ).

fof(f14609,plain,
    ! [X0,X1] :
      ( ~ sQ622_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14608]) ).

fof(f14611,plain,
    ( ~ sQ13_spl
    | sQ622_spl ),
    inference(split_clause,[status(thm)],[f14605,f14608,f1367]) ).

fof(f14612,definition,
    ! [X0,X1,X2] :
      ( sQ623_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).

fof(f14613,plain,
    ! [X0,X1,X2] :
      ( ~ sQ623_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14612]) ).

fof(f14615,plain,
    ( ~ sQ13_spl
    | sQ623_spl ),
    inference(split_clause,[status(thm)],[f14606,f14612,f1367]) ).

fof(f14616,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3148,f201]) ).

fof(f14617,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3148,f184]) ).

fof(f14619,definition,
    ! [X0,X1] :
      ( sQ624_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).

fof(f14620,plain,
    ! [X0,X1] :
      ( ~ sQ624_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14619]) ).

fof(f14622,plain,
    ( ~ sQ13_spl
    | sQ624_spl ),
    inference(split_clause,[status(thm)],[f14616,f14619,f1367]) ).

fof(f14623,definition,
    ! [X0,X1,X2] :
      ( sQ625_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ625_spl])],[split_symbol_definition]) ).

fof(f14624,plain,
    ! [X0,X1,X2] :
      ( ~ sQ625_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14623]) ).

fof(f14626,plain,
    ( ~ sQ13_spl
    | sQ625_spl ),
    inference(split_clause,[status(thm)],[f14617,f14623,f1367]) ).

fof(f14627,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3147,f201]) ).

fof(f14628,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3147,f184]) ).

fof(f14630,definition,
    ! [X0,X1] :
      ( sQ626_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).

fof(f14631,plain,
    ! [X0,X1] :
      ( ~ sQ626_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14630]) ).

fof(f14633,plain,
    ( ~ sQ13_spl
    | sQ626_spl ),
    inference(split_clause,[status(thm)],[f14627,f14630,f1367]) ).

fof(f14634,definition,
    ! [X0,X1,X2] :
      ( sQ627_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).

fof(f14635,plain,
    ! [X0,X1,X2] :
      ( ~ sQ627_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14634]) ).

fof(f14637,plain,
    ( ~ sQ13_spl
    | sQ627_spl ),
    inference(split_clause,[status(thm)],[f14628,f14634,f1367]) ).

fof(f14638,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3146,f201]) ).

fof(f14639,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3146,f184]) ).

fof(f14641,definition,
    ! [X0,X1] :
      ( sQ628_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).

fof(f14642,plain,
    ! [X0,X1] :
      ( ~ sQ628_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14641]) ).

fof(f14644,plain,
    ( ~ sQ13_spl
    | sQ628_spl ),
    inference(split_clause,[status(thm)],[f14638,f14641,f1367]) ).

fof(f14645,definition,
    ! [X0,X1,X2] :
      ( sQ629_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition]) ).

fof(f14646,plain,
    ! [X0,X1,X2] :
      ( ~ sQ629_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14645]) ).

fof(f14648,plain,
    ( ~ sQ13_spl
    | sQ629_spl ),
    inference(split_clause,[status(thm)],[f14639,f14645,f1367]) ).

fof(f14649,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3145,f201]) ).

fof(f14650,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3145,f184]) ).

fof(f14652,definition,
    ! [X0,X1] :
      ( sQ630_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition]) ).

fof(f14653,plain,
    ! [X0,X1] :
      ( ~ sQ630_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14652]) ).

fof(f14655,plain,
    ( ~ sQ13_spl
    | sQ630_spl ),
    inference(split_clause,[status(thm)],[f14649,f14652,f1367]) ).

fof(f14656,definition,
    ! [X0,X1,X2] :
      ( sQ631_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).

fof(f14657,plain,
    ! [X0,X1,X2] :
      ( ~ sQ631_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14656]) ).

fof(f14659,plain,
    ( ~ sQ13_spl
    | sQ631_spl ),
    inference(split_clause,[status(thm)],[f14650,f14656,f1367]) ).

fof(f14660,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3140,f201]) ).

fof(f14661,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3140,f184]) ).

fof(f14663,definition,
    ! [X0,X1] :
      ( sQ632_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition]) ).

fof(f14664,plain,
    ! [X0,X1] :
      ( ~ sQ632_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14663]) ).

fof(f14666,plain,
    ( ~ sQ13_spl
    | sQ632_spl ),
    inference(split_clause,[status(thm)],[f14660,f14663,f1367]) ).

fof(f14667,definition,
    ! [X0,X1,X2] :
      ( sQ633_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition]) ).

fof(f14668,plain,
    ! [X0,X1,X2] :
      ( ~ sQ633_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14667]) ).

fof(f14670,plain,
    ( ~ sQ13_spl
    | sQ633_spl ),
    inference(split_clause,[status(thm)],[f14661,f14667,f1367]) ).

fof(f14671,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))
      | ~ topological_space(cx,ct)
      | neighborhood(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X3,cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12218,f201]) ).

fof(f14672,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subset_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X4)
      | ~ element_of_set(X3,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))
      | ~ subset_sets(X4,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X3,interior(X4,cx,ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12218,f184]) ).

fof(f14674,definition,
    ! [X0,X1,X2,X3] :
      ( sQ634_spl
    <=> ( ~ element_of_set(X3,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))
        | neighborhood(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X3,cx,ct)
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).

fof(f14675,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ634_spl
      | ~ element_of_set(X3,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))
      | neighborhood(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X3,cx,ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f14674]) ).

fof(f14677,plain,
    ( ~ sQ13_spl
    | sQ634_spl ),
    inference(split_clause,[status(thm)],[f14671,f14674,f1367]) ).

fof(f14678,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ635_spl
    <=> ( ~ subset_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X4)
        | ~ element_of_set(X3,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))
        | ~ subset_sets(X4,cx)
        | element_of_set(X3,interior(X4,cx,ct))
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).

fof(f14679,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ635_spl
      | ~ subset_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),X4)
      | ~ element_of_set(X3,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))
      | ~ subset_sets(X4,cx)
      | element_of_set(X3,interior(X4,cx,ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f14678]) ).

fof(f14681,plain,
    ( ~ sQ13_spl
    | sQ635_spl ),
    inference(split_clause,[status(thm)],[f14672,f14678,f1367]) ).

fof(f14682,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f282]) ).

fof(f14683,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f284]) ).

fof(f14684,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f294]) ).

fof(f14685,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f13(X4,X5,ct,f11(X6,interior(X4,X5,ct))),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(interior(X4,X5,ct),top_of_basis(X6))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f12215]) ).

fof(f14686,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X4)),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f312]) ).

fof(f14687,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X4)),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f316]) ).

fof(f14688,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),empty_set),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f331]) ).

fof(f14689,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),cx),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f336]) ).

fof(f14690,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f277]) ).

fof(f14691,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f278]) ).

fof(f14692,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),X4),ct)
      | ~ element_of_collection(X4,ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f276]) ).

fof(f14693,plain,
    ! [X0,X1,X2,X3] :
      ( open(intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),cx,ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f3035]) ).

fof(f14694,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f2(ct,X4),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f308]) ).

fof(f14695,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X4,union_of_members(ct))),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f1148]) ).

fof(f14696,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(X4,union_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f116]) ).

fof(f14697,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(f1(ct,f11(X4,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f4407]) ).

fof(f14698,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(f11(X4,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f4396]) ).

fof(f14699,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(ct)),intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12219,f3199]) ).

fof(f14700,definition,
    ! [X0,X1,X2,X3,X5] :
      ( sQ636_spl
    <=> ( element_of_set(X5,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition]) ).

fof(f14701,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ636_spl
      | element_of_set(X4,intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f14700]) ).

fof(f14703,plain,
    ( sQ369_spl
    | sQ636_spl ),
    inference(split_clause,[status(thm)],[f14697,f14700,f7936]) ).

fof(f14704,plain,
    ( sQ115_spl
    | sQ636_spl ),
    inference(split_clause,[status(thm)],[f14698,f14700,f4709]) ).

fof(f14705,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f282]) ).

fof(f14706,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f284]) ).

fof(f14707,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f294]) ).

fof(f14708,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f13(X4,X5,ct,f11(X6,interior(X4,X5,ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(interior(X4,X5,ct),top_of_basis(X6))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f12215]) ).

fof(f14709,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X4)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f312]) ).

fof(f14710,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X4)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f316]) ).

fof(f14711,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),empty_set),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f331]) ).

fof(f14712,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),cx),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f336]) ).

fof(f14713,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f277]) ).

fof(f14714,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f278]) ).

fof(f14715,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),X4),ct)
      | ~ element_of_collection(X4,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f276]) ).

fof(f14716,plain,
    ! [X0,X1,X2,X3] :
      ( open(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f3035]) ).

fof(f14717,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f2(ct,X4),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f308]) ).

fof(f14718,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X4,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f1148]) ).

fof(f14719,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(X4,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f116]) ).

fof(f14720,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(f1(ct,f11(X4,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f4407]) ).

fof(f14721,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_set(f11(X4,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f4396]) ).

fof(f14722,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12220,f3199]) ).

fof(f14723,definition,
    ! [X0,X1,X2,X3,X5] :
      ( sQ637_spl
    <=> ( element_of_set(X5,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
        | element_of_collection(union_of_members(ct),top_of_basis(X3))
        | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ637_spl])],[split_symbol_definition]) ).

fof(f14724,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ637_spl
      | element_of_set(X4,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f14723]) ).

fof(f14726,plain,
    ( sQ369_spl
    | sQ637_spl ),
    inference(split_clause,[status(thm)],[f14720,f14723,f7936]) ).

fof(f14727,plain,
    ( sQ115_spl
    | sQ637_spl ),
    inference(split_clause,[status(thm)],[f14721,f14723,f4709]) ).

fof(f14728,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3139,f201]) ).

fof(f14729,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3139,f184]) ).

fof(f14731,definition,
    ! [X0,X1] :
      ( sQ638_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).

fof(f14732,plain,
    ! [X0,X1] :
      ( ~ sQ638_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14731]) ).

fof(f14734,plain,
    ( ~ sQ13_spl
    | sQ638_spl ),
    inference(split_clause,[status(thm)],[f14728,f14731,f1367]) ).

fof(f14735,definition,
    ! [X0,X1,X2] :
      ( sQ639_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).

fof(f14736,plain,
    ! [X0,X1,X2] :
      ( ~ sQ639_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14735]) ).

fof(f14738,plain,
    ( ~ sQ13_spl
    | sQ639_spl ),
    inference(split_clause,[status(thm)],[f14729,f14735,f1367]) ).

fof(f14739,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3138,f201]) ).

fof(f14740,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3138,f184]) ).

fof(f14742,definition,
    ! [X0,X1] :
      ( sQ640_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).

fof(f14743,plain,
    ! [X0,X1] :
      ( ~ sQ640_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14742]) ).

fof(f14745,plain,
    ( ~ sQ13_spl
    | sQ640_spl ),
    inference(split_clause,[status(thm)],[f14739,f14742,f1367]) ).

fof(f14746,definition,
    ! [X0,X1,X2] :
      ( sQ641_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).

fof(f14747,plain,
    ! [X0,X1,X2] :
      ( ~ sQ641_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14746]) ).

fof(f14749,plain,
    ( ~ sQ13_spl
    | sQ641_spl ),
    inference(split_clause,[status(thm)],[f14740,f14746,f1367]) ).

fof(f14750,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3137,f201]) ).

fof(f14751,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3137,f184]) ).

fof(f14753,definition,
    ! [X0,X1] :
      ( sQ642_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition]) ).

fof(f14754,plain,
    ! [X0,X1] :
      ( ~ sQ642_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14753]) ).

fof(f14756,plain,
    ( ~ sQ13_spl
    | sQ642_spl ),
    inference(split_clause,[status(thm)],[f14750,f14753,f1367]) ).

fof(f14757,definition,
    ! [X0,X1,X2] :
      ( sQ643_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).

fof(f14758,plain,
    ! [X0,X1,X2] :
      ( ~ sQ643_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14757]) ).

fof(f14760,plain,
    ( ~ sQ13_spl
    | sQ643_spl ),
    inference(split_clause,[status(thm)],[f14751,f14757,f1367]) ).

fof(f14761,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3135,f201]) ).

fof(f14762,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3135,f184]) ).

fof(f14764,definition,
    ! [X0,X1] :
      ( sQ644_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition]) ).

fof(f14765,plain,
    ! [X0,X1] :
      ( ~ sQ644_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14764]) ).

fof(f14767,plain,
    ( ~ sQ13_spl
    | sQ644_spl ),
    inference(split_clause,[status(thm)],[f14761,f14764,f1367]) ).

fof(f14768,definition,
    ! [X0,X1,X2] :
      ( sQ645_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ645_spl])],[split_symbol_definition]) ).

fof(f14769,plain,
    ! [X0,X1,X2] :
      ( ~ sQ645_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14768]) ).

fof(f14771,plain,
    ( ~ sQ13_spl
    | sQ645_spl ),
    inference(split_clause,[status(thm)],[f14762,f14768,f1367]) ).

fof(f14772,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3134,f201]) ).

fof(f14773,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3134,f184]) ).

fof(f14775,definition,
    ! [X0,X1] :
      ( sQ646_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ646_spl])],[split_symbol_definition]) ).

fof(f14776,plain,
    ! [X0,X1] :
      ( ~ sQ646_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14775]) ).

fof(f14778,plain,
    ( ~ sQ13_spl
    | sQ646_spl ),
    inference(split_clause,[status(thm)],[f14772,f14775,f1367]) ).

fof(f14779,definition,
    ! [X0,X1,X2] :
      ( sQ647_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition]) ).

fof(f14780,plain,
    ! [X0,X1,X2] :
      ( ~ sQ647_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14779]) ).

fof(f14782,plain,
    ( ~ sQ13_spl
    | sQ647_spl ),
    inference(split_clause,[status(thm)],[f14773,f14779,f1367]) ).

fof(f14783,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3133,f201]) ).

fof(f14784,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3133,f184]) ).

fof(f14786,definition,
    ! [X0,X1] :
      ( sQ648_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ648_spl])],[split_symbol_definition]) ).

fof(f14787,plain,
    ! [X0,X1] :
      ( ~ sQ648_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14786]) ).

fof(f14789,plain,
    ( ~ sQ13_spl
    | sQ648_spl ),
    inference(split_clause,[status(thm)],[f14783,f14786,f1367]) ).

fof(f14790,definition,
    ! [X0,X1,X2] :
      ( sQ649_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition]) ).

fof(f14791,plain,
    ! [X0,X1,X2] :
      ( ~ sQ649_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14790]) ).

fof(f14793,plain,
    ( ~ sQ13_spl
    | sQ649_spl ),
    inference(split_clause,[status(thm)],[f14784,f14790,f1367]) ).

fof(f14794,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3132,f201]) ).

fof(f14795,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3132,f184]) ).

fof(f14797,definition,
    ! [X0,X1] :
      ( sQ650_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition]) ).

fof(f14798,plain,
    ! [X0,X1] :
      ( ~ sQ650_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14797]) ).

fof(f14800,plain,
    ( ~ sQ13_spl
    | sQ650_spl ),
    inference(split_clause,[status(thm)],[f14794,f14797,f1367]) ).

fof(f14801,definition,
    ! [X0,X1,X2] :
      ( sQ651_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ651_spl])],[split_symbol_definition]) ).

fof(f14802,plain,
    ! [X0,X1,X2] :
      ( ~ sQ651_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14801]) ).

fof(f14804,plain,
    ( ~ sQ13_spl
    | sQ651_spl ),
    inference(split_clause,[status(thm)],[f14795,f14801,f1367]) ).

fof(f14805,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3131,f201]) ).

fof(f14806,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3131,f184]) ).

fof(f14808,definition,
    ! [X0,X1] :
      ( sQ652_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).

fof(f14809,plain,
    ! [X0,X1] :
      ( ~ sQ652_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14808]) ).

fof(f14811,plain,
    ( ~ sQ13_spl
    | sQ652_spl ),
    inference(split_clause,[status(thm)],[f14805,f14808,f1367]) ).

fof(f14812,definition,
    ! [X0,X1,X2] :
      ( sQ653_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).

fof(f14813,plain,
    ! [X0,X1,X2] :
      ( ~ sQ653_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14812]) ).

fof(f14815,plain,
    ( ~ sQ13_spl
    | sQ653_spl ),
    inference(split_clause,[status(thm)],[f14806,f14812,f1367]) ).

fof(f14816,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3130,f201]) ).

fof(f14817,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3130,f184]) ).

fof(f14819,definition,
    ! [X0,X1] :
      ( sQ654_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).

fof(f14820,plain,
    ! [X0,X1] :
      ( ~ sQ654_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14819]) ).

fof(f14822,plain,
    ( ~ sQ13_spl
    | sQ654_spl ),
    inference(split_clause,[status(thm)],[f14816,f14819,f1367]) ).

fof(f14823,definition,
    ! [X0,X1,X2] :
      ( sQ655_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).

fof(f14824,plain,
    ! [X0,X1,X2] :
      ( ~ sQ655_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14823]) ).

fof(f14826,plain,
    ( ~ sQ13_spl
    | sQ655_spl ),
    inference(split_clause,[status(thm)],[f14817,f14823,f1367]) ).

fof(f14827,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3129,f201]) ).

fof(f14828,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3129,f184]) ).

fof(f14830,definition,
    ! [X0,X1] :
      ( sQ656_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).

fof(f14831,plain,
    ! [X0,X1] :
      ( ~ sQ656_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14830]) ).

fof(f14833,plain,
    ( ~ sQ13_spl
    | sQ656_spl ),
    inference(split_clause,[status(thm)],[f14827,f14830,f1367]) ).

fof(f14834,definition,
    ! [X0,X1,X2] :
      ( sQ657_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).

fof(f14835,plain,
    ! [X0,X1,X2] :
      ( ~ sQ657_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14834]) ).

fof(f14837,plain,
    ( ~ sQ13_spl
    | sQ657_spl ),
    inference(split_clause,[status(thm)],[f14828,f14834,f1367]) ).

fof(f14838,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3128,f201]) ).

fof(f14839,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3128,f184]) ).

fof(f14841,definition,
    ! [X0,X1] :
      ( sQ658_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).

fof(f14842,plain,
    ! [X0,X1] :
      ( ~ sQ658_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14841]) ).

fof(f14844,plain,
    ( ~ sQ13_spl
    | sQ658_spl ),
    inference(split_clause,[status(thm)],[f14838,f14841,f1367]) ).

fof(f14845,definition,
    ! [X0,X1,X2] :
      ( sQ659_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).

fof(f14846,plain,
    ! [X0,X1,X2] :
      ( ~ sQ659_spl
      | ~ subset_sets(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14845]) ).

fof(f14848,plain,
    ( ~ sQ13_spl
    | sQ659_spl ),
    inference(split_clause,[status(thm)],[f14839,f14845,f1367]) ).

fof(f14849,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3126,f201]) ).

fof(f14850,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3126,f184]) ).

fof(f14852,definition,
    ! [X0,X1] :
      ( sQ660_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
        | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X1,cx,ct)
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).

fof(f14853,plain,
    ! [X0,X1] :
      ( ~ sQ660_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f14852]) ).

fof(f14855,plain,
    ( ~ sQ13_spl
    | sQ660_spl ),
    inference(split_clause,[status(thm)],[f14849,f14852,f1367]) ).

fof(f14856,definition,
    ! [X0,X1,X2] :
      ( sQ661_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).

fof(f14857,plain,
    ! [X0,X1,X2] :
      ( ~ sQ661_spl
      | ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f14856]) ).

fof(f14859,plain,
    ( ~ sQ13_spl
    | sQ661_spl ),
    inference(split_clause,[status(thm)],[f14850,f14856,f1367]) ).

fof(f14860,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3121,f201]) ).

fof(f14861,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3121,f184]) ).

fof(f14863,definition,
    ! [X0,X1] :
      ( sQ662_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).

fof(f14864,plain,
    ! [X0,X1] :
      ( ~ sQ662_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14863]) ).

fof(f14866,plain,
    ( ~ sQ13_spl
    | sQ662_spl ),
    inference(split_clause,[status(thm)],[f14860,f14863,f1367]) ).

fof(f14867,definition,
    ! [X0,X1,X2] :
      ( sQ663_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).

fof(f14868,plain,
    ! [X0,X1,X2] :
      ( ~ sQ663_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14867]) ).

fof(f14870,plain,
    ( ~ sQ13_spl
    | sQ663_spl ),
    inference(split_clause,[status(thm)],[f14861,f14867,f1367]) ).

fof(f14871,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3120,f201]) ).

fof(f14872,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3120,f184]) ).

fof(f14874,definition,
    ! [X0,X1] :
      ( sQ664_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).

fof(f14875,plain,
    ! [X0,X1] :
      ( ~ sQ664_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14874]) ).

fof(f14877,plain,
    ( ~ sQ13_spl
    | sQ664_spl ),
    inference(split_clause,[status(thm)],[f14871,f14874,f1367]) ).

fof(f14878,definition,
    ! [X0,X1,X2] :
      ( sQ665_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).

fof(f14879,plain,
    ! [X0,X1,X2] :
      ( ~ sQ665_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14878]) ).

fof(f14881,plain,
    ( ~ sQ13_spl
    | sQ665_spl ),
    inference(split_clause,[status(thm)],[f14872,f14878,f1367]) ).

fof(f14882,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3119,f201]) ).

fof(f14883,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3119,f184]) ).

fof(f14885,definition,
    ! [X0,X1] :
      ( sQ666_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).

fof(f14886,plain,
    ! [X0,X1] :
      ( ~ sQ666_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14885]) ).

fof(f14888,plain,
    ( ~ sQ13_spl
    | sQ666_spl ),
    inference(split_clause,[status(thm)],[f14882,f14885,f1367]) ).

fof(f14889,definition,
    ! [X0,X1,X2] :
      ( sQ667_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).

fof(f14890,plain,
    ! [X0,X1,X2] :
      ( ~ sQ667_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14889]) ).

fof(f14892,plain,
    ( ~ sQ13_spl
    | sQ667_spl ),
    inference(split_clause,[status(thm)],[f14883,f14889,f1367]) ).

fof(f14893,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3118,f201]) ).

fof(f14894,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3118,f184]) ).

fof(f14896,definition,
    ! [X0,X1] :
      ( sQ668_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).

fof(f14897,plain,
    ! [X0,X1] :
      ( ~ sQ668_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14896]) ).

fof(f14899,plain,
    ( ~ sQ13_spl
    | sQ668_spl ),
    inference(split_clause,[status(thm)],[f14893,f14896,f1367]) ).

fof(f14900,definition,
    ! [X0,X1,X2] :
      ( sQ669_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).

fof(f14901,plain,
    ! [X0,X1,X2] :
      ( ~ sQ669_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14900]) ).

fof(f14903,plain,
    ( ~ sQ13_spl
    | sQ669_spl ),
    inference(split_clause,[status(thm)],[f14894,f14900,f1367]) ).

fof(f14904,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3114,f201]) ).

fof(f14905,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3114,f184]) ).

fof(f14907,definition,
    ! [X0,X1] :
      ( sQ670_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).

fof(f14908,plain,
    ! [X0,X1] :
      ( ~ sQ670_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14907]) ).

fof(f14910,plain,
    ( ~ sQ13_spl
    | sQ670_spl ),
    inference(split_clause,[status(thm)],[f14904,f14907,f1367]) ).

fof(f14911,definition,
    ! [X0,X1,X2] :
      ( sQ671_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).

fof(f14912,plain,
    ! [X0,X1,X2] :
      ( ~ sQ671_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14911]) ).

fof(f14914,plain,
    ( ~ sQ13_spl
    | sQ671_spl ),
    inference(split_clause,[status(thm)],[f14905,f14911,f1367]) ).

fof(f14915,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3113,f201]) ).

fof(f14916,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3113,f184]) ).

fof(f14918,definition,
    ! [X0,X1] :
      ( sQ672_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).

fof(f14919,plain,
    ! [X0,X1] :
      ( ~ sQ672_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14918]) ).

fof(f14921,plain,
    ( ~ sQ13_spl
    | sQ672_spl ),
    inference(split_clause,[status(thm)],[f14915,f14918,f1367]) ).

fof(f14922,definition,
    ! [X0,X1,X2] :
      ( sQ673_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).

fof(f14923,plain,
    ! [X0,X1,X2] :
      ( ~ sQ673_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14922]) ).

fof(f14925,plain,
    ( ~ sQ13_spl
    | sQ673_spl ),
    inference(split_clause,[status(thm)],[f14916,f14922,f1367]) ).

fof(f14926,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3112,f201]) ).

fof(f14927,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3112,f184]) ).

fof(f14929,definition,
    ! [X0,X1] :
      ( sQ674_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).

fof(f14930,plain,
    ! [X0,X1] :
      ( ~ sQ674_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14929]) ).

fof(f14932,plain,
    ( ~ sQ13_spl
    | sQ674_spl ),
    inference(split_clause,[status(thm)],[f14926,f14929,f1367]) ).

fof(f14933,definition,
    ! [X0,X1,X2] :
      ( sQ675_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).

fof(f14934,plain,
    ! [X0,X1,X2] :
      ( ~ sQ675_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14933]) ).

fof(f14936,plain,
    ( ~ sQ13_spl
    | sQ675_spl ),
    inference(split_clause,[status(thm)],[f14927,f14933,f1367]) ).

fof(f14937,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3111,f201]) ).

fof(f14938,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3111,f184]) ).

fof(f14940,definition,
    ! [X0,X1] :
      ( sQ676_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).

fof(f14941,plain,
    ! [X0,X1] :
      ( ~ sQ676_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14940]) ).

fof(f14943,plain,
    ( ~ sQ13_spl
    | sQ676_spl ),
    inference(split_clause,[status(thm)],[f14937,f14940,f1367]) ).

fof(f14944,definition,
    ! [X0,X1,X2] :
      ( sQ677_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).

fof(f14945,plain,
    ! [X0,X1,X2] :
      ( ~ sQ677_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14944]) ).

fof(f14947,plain,
    ( ~ sQ13_spl
    | sQ677_spl ),
    inference(split_clause,[status(thm)],[f14938,f14944,f1367]) ).

fof(f14948,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3106,f201]) ).

fof(f14949,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3106,f184]) ).

fof(f14951,definition,
    ! [X0,X1] :
      ( sQ678_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition]) ).

fof(f14952,plain,
    ! [X0,X1] :
      ( ~ sQ678_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14951]) ).

fof(f14954,plain,
    ( ~ sQ13_spl
    | sQ678_spl ),
    inference(split_clause,[status(thm)],[f14948,f14951,f1367]) ).

fof(f14955,definition,
    ! [X0,X1,X2] :
      ( sQ679_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).

fof(f14956,plain,
    ! [X0,X1,X2] :
      ( ~ sQ679_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14955]) ).

fof(f14958,plain,
    ( ~ sQ13_spl
    | sQ679_spl ),
    inference(split_clause,[status(thm)],[f14949,f14955,f1367]) ).

fof(f14959,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3105,f201]) ).

fof(f14960,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3105,f184]) ).

fof(f14962,definition,
    ! [X0,X1] :
      ( sQ680_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).

fof(f14963,plain,
    ! [X0,X1] :
      ( ~ sQ680_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14962]) ).

fof(f14965,plain,
    ( ~ sQ13_spl
    | sQ680_spl ),
    inference(split_clause,[status(thm)],[f14959,f14962,f1367]) ).

fof(f14966,definition,
    ! [X0,X1,X2] :
      ( sQ681_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).

fof(f14967,plain,
    ! [X0,X1,X2] :
      ( ~ sQ681_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14966]) ).

fof(f14969,plain,
    ( ~ sQ13_spl
    | sQ681_spl ),
    inference(split_clause,[status(thm)],[f14960,f14966,f1367]) ).

fof(f14970,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3104,f201]) ).

fof(f14971,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3104,f184]) ).

fof(f14973,definition,
    ! [X0,X1] :
      ( sQ682_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).

fof(f14974,plain,
    ! [X0,X1] :
      ( ~ sQ682_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14973]) ).

fof(f14976,plain,
    ( ~ sQ13_spl
    | sQ682_spl ),
    inference(split_clause,[status(thm)],[f14970,f14973,f1367]) ).

fof(f14977,definition,
    ! [X0,X1,X2] :
      ( sQ683_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).

fof(f14978,plain,
    ! [X0,X1,X2] :
      ( ~ sQ683_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14977]) ).

fof(f14980,plain,
    ( ~ sQ13_spl
    | sQ683_spl ),
    inference(split_clause,[status(thm)],[f14971,f14977,f1367]) ).

fof(f14981,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3103,f201]) ).

fof(f14982,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3103,f184]) ).

fof(f14984,definition,
    ! [X0,X1] :
      ( sQ684_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).

fof(f14985,plain,
    ! [X0,X1] :
      ( ~ sQ684_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14984]) ).

fof(f14987,plain,
    ( ~ sQ13_spl
    | sQ684_spl ),
    inference(split_clause,[status(thm)],[f14981,f14984,f1367]) ).

fof(f14988,definition,
    ! [X0,X1,X2] :
      ( sQ685_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).

fof(f14989,plain,
    ! [X0,X1,X2] :
      ( ~ sQ685_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14988]) ).

fof(f14991,plain,
    ( ~ sQ13_spl
    | sQ685_spl ),
    inference(split_clause,[status(thm)],[f14982,f14988,f1367]) ).

fof(f14992,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3101,f201]) ).

fof(f14993,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3101,f184]) ).

fof(f14995,definition,
    ! [X0,X1] :
      ( sQ686_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition]) ).

fof(f14996,plain,
    ! [X0,X1] :
      ( ~ sQ686_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14995]) ).

fof(f14998,plain,
    ( ~ sQ13_spl
    | sQ686_spl ),
    inference(split_clause,[status(thm)],[f14992,f14995,f1367]) ).

fof(f14999,definition,
    ! [X0,X1,X2] :
      ( sQ687_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).

fof(f15000,plain,
    ! [X0,X1,X2] :
      ( ~ sQ687_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f14999]) ).

fof(f15002,plain,
    ( ~ sQ13_spl
    | sQ687_spl ),
    inference(split_clause,[status(thm)],[f14993,f14999,f1367]) ).

fof(f15003,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3100,f201]) ).

fof(f15004,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3100,f184]) ).

fof(f15006,definition,
    ! [X0,X1] :
      ( sQ688_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).

fof(f15007,plain,
    ! [X0,X1] :
      ( ~ sQ688_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15006]) ).

fof(f15009,plain,
    ( ~ sQ13_spl
    | sQ688_spl ),
    inference(split_clause,[status(thm)],[f15003,f15006,f1367]) ).

fof(f15010,definition,
    ! [X0,X1,X2] :
      ( sQ689_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).

fof(f15011,plain,
    ! [X0,X1,X2] :
      ( ~ sQ689_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15010]) ).

fof(f15013,plain,
    ( ~ sQ13_spl
    | sQ689_spl ),
    inference(split_clause,[status(thm)],[f15004,f15010,f1367]) ).

fof(f15014,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3099,f201]) ).

fof(f15015,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3099,f184]) ).

fof(f15017,definition,
    ! [X0,X1] :
      ( sQ690_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).

fof(f15018,plain,
    ! [X0,X1] :
      ( ~ sQ690_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15017]) ).

fof(f15020,plain,
    ( ~ sQ13_spl
    | sQ690_spl ),
    inference(split_clause,[status(thm)],[f15014,f15017,f1367]) ).

fof(f15021,definition,
    ! [X0,X1,X2] :
      ( sQ691_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).

fof(f15022,plain,
    ! [X0,X1,X2] :
      ( ~ sQ691_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15021]) ).

fof(f15024,plain,
    ( ~ sQ13_spl
    | sQ691_spl ),
    inference(split_clause,[status(thm)],[f15015,f15021,f1367]) ).

fof(f15025,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3098,f201]) ).

fof(f15026,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3098,f184]) ).

fof(f15028,definition,
    ! [X0,X1] :
      ( sQ692_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).

fof(f15029,plain,
    ! [X0,X1] :
      ( ~ sQ692_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15028]) ).

fof(f15031,plain,
    ( ~ sQ13_spl
    | sQ692_spl ),
    inference(split_clause,[status(thm)],[f15025,f15028,f1367]) ).

fof(f15032,definition,
    ! [X0,X1,X2] :
      ( sQ693_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).

fof(f15033,plain,
    ! [X0,X1,X2] :
      ( ~ sQ693_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15032]) ).

fof(f15035,plain,
    ( ~ sQ13_spl
    | sQ693_spl ),
    inference(split_clause,[status(thm)],[f15026,f15032,f1367]) ).

fof(f15036,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3097,f201]) ).

fof(f15037,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3097,f184]) ).

fof(f15039,definition,
    ! [X0,X1] :
      ( sQ694_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).

fof(f15040,plain,
    ! [X0,X1] :
      ( ~ sQ694_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15039]) ).

fof(f15042,plain,
    ( ~ sQ13_spl
    | sQ694_spl ),
    inference(split_clause,[status(thm)],[f15036,f15039,f1367]) ).

fof(f15043,definition,
    ! [X0,X1,X2] :
      ( sQ695_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).

fof(f15044,plain,
    ! [X0,X1,X2] :
      ( ~ sQ695_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15043]) ).

fof(f15046,plain,
    ( ~ sQ13_spl
    | sQ695_spl ),
    inference(split_clause,[status(thm)],[f15037,f15043,f1367]) ).

fof(f15047,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3096,f201]) ).

fof(f15048,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3096,f184]) ).

fof(f15050,definition,
    ! [X0,X1] :
      ( sQ696_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).

fof(f15051,plain,
    ! [X0,X1] :
      ( ~ sQ696_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15050]) ).

fof(f15053,plain,
    ( ~ sQ13_spl
    | sQ696_spl ),
    inference(split_clause,[status(thm)],[f15047,f15050,f1367]) ).

fof(f15054,definition,
    ! [X0,X1,X2] :
      ( sQ697_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).

fof(f15055,plain,
    ! [X0,X1,X2] :
      ( ~ sQ697_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15054]) ).

fof(f15057,plain,
    ( ~ sQ13_spl
    | sQ697_spl ),
    inference(split_clause,[status(thm)],[f15048,f15054,f1367]) ).

fof(f15058,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3095,f201]) ).

fof(f15059,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3095,f184]) ).

fof(f15061,definition,
    ! [X0,X1] :
      ( sQ698_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition]) ).

fof(f15062,plain,
    ! [X0,X1] :
      ( ~ sQ698_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15061]) ).

fof(f15064,plain,
    ( ~ sQ13_spl
    | sQ698_spl ),
    inference(split_clause,[status(thm)],[f15058,f15061,f1367]) ).

fof(f15065,definition,
    ! [X0,X1,X2] :
      ( sQ699_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).

fof(f15066,plain,
    ! [X0,X1,X2] :
      ( ~ sQ699_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15065]) ).

fof(f15068,plain,
    ( ~ sQ13_spl
    | sQ699_spl ),
    inference(split_clause,[status(thm)],[f15059,f15065,f1367]) ).

fof(f15069,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3094,f201]) ).

fof(f15070,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3094,f184]) ).

fof(f15072,definition,
    ! [X0,X1] :
      ( sQ700_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ700_spl])],[split_symbol_definition]) ).

fof(f15073,plain,
    ! [X0,X1] :
      ( ~ sQ700_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15072]) ).

fof(f15075,plain,
    ( ~ sQ13_spl
    | sQ700_spl ),
    inference(split_clause,[status(thm)],[f15069,f15072,f1367]) ).

fof(f15076,definition,
    ! [X0,X1,X2] :
      ( sQ701_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).

fof(f15077,plain,
    ! [X0,X1,X2] :
      ( ~ sQ701_spl
      | ~ subset_sets(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15076]) ).

fof(f15079,plain,
    ( ~ sQ13_spl
    | sQ701_spl ),
    inference(split_clause,[status(thm)],[f15070,f15076,f1367]) ).

fof(f15080,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3093,f201]) ).

fof(f15081,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3093,f184]) ).

fof(f15083,definition,
    ! [X0,X1] :
      ( sQ702_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
        | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X1,cx,ct)
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ702_spl])],[split_symbol_definition]) ).

fof(f15084,plain,
    ! [X0,X1] :
      ( ~ sQ702_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X1,cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15083]) ).

fof(f15086,plain,
    ( ~ sQ13_spl
    | sQ702_spl ),
    inference(split_clause,[status(thm)],[f15080,f15083,f1367]) ).

fof(f15087,definition,
    ! [X0,X1,X2] :
      ( sQ703_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(union_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).

fof(f15088,plain,
    ! [X0,X1,X2] :
      ( ~ sQ703_spl
      | ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15087]) ).

fof(f15090,plain,
    ( ~ sQ13_spl
    | sQ703_spl ),
    inference(split_clause,[status(thm)],[f15081,f15087,f1367]) ).

fof(f15091,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3083,f201]) ).

fof(f15092,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3083,f184]) ).

fof(f15094,definition,
    ! [X0,X1] :
      ( sQ704_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
        | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ704_spl])],[split_symbol_definition]) ).

fof(f15095,plain,
    ! [X0,X1] :
      ( ~ sQ704_spl
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15094]) ).

fof(f15097,plain,
    ( ~ sQ13_spl
    | sQ704_spl ),
    inference(split_clause,[status(thm)],[f15091,f15094,f1367]) ).

fof(f15098,definition,
    ! [X0,X1,X2] :
      ( sQ705_spl
    <=> ( ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X2)
        | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition]) ).

fof(f15099,plain,
    ! [X0,X1,X2] :
      ( ~ sQ705_spl
      | ~ subset_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X2)
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15098]) ).

fof(f15101,plain,
    ( ~ sQ13_spl
    | sQ705_spl ),
    inference(split_clause,[status(thm)],[f15092,f15098,f1367]) ).

fof(f15102,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3075,f201]) ).

fof(f15103,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3075,f184]) ).

fof(f15105,definition,
    ! [X0,X1] :
      ( sQ706_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).

fof(f15106,plain,
    ! [X0,X1] :
      ( ~ sQ706_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15105]) ).

fof(f15108,plain,
    ( ~ sQ13_spl
    | sQ706_spl ),
    inference(split_clause,[status(thm)],[f15102,f15105,f1367]) ).

fof(f15109,definition,
    ! [X0,X1,X2] :
      ( sQ707_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).

fof(f15110,plain,
    ! [X0,X1,X2] :
      ( ~ sQ707_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15109]) ).

fof(f15112,plain,
    ( ~ sQ13_spl
    | sQ707_spl ),
    inference(split_clause,[status(thm)],[f15103,f15109,f1367]) ).

fof(f15113,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3074,f201]) ).

fof(f15114,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3074,f184]) ).

fof(f15116,definition,
    ! [X0,X1] :
      ( sQ708_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ708_spl])],[split_symbol_definition]) ).

fof(f15117,plain,
    ! [X0,X1] :
      ( ~ sQ708_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15116]) ).

fof(f15119,plain,
    ( ~ sQ13_spl
    | sQ708_spl ),
    inference(split_clause,[status(thm)],[f15113,f15116,f1367]) ).

fof(f15120,definition,
    ! [X0,X1,X2] :
      ( sQ709_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ709_spl])],[split_symbol_definition]) ).

fof(f15121,plain,
    ! [X0,X1,X2] :
      ( ~ sQ709_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15120]) ).

fof(f15123,plain,
    ( ~ sQ13_spl
    | sQ709_spl ),
    inference(split_clause,[status(thm)],[f15114,f15120,f1367]) ).

fof(f15124,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3073,f201]) ).

fof(f15125,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3073,f184]) ).

fof(f15127,definition,
    ! [X0,X1] :
      ( sQ710_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ710_spl])],[split_symbol_definition]) ).

fof(f15128,plain,
    ! [X0,X1] :
      ( ~ sQ710_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15127]) ).

fof(f15130,plain,
    ( ~ sQ13_spl
    | sQ710_spl ),
    inference(split_clause,[status(thm)],[f15124,f15127,f1367]) ).

fof(f15131,definition,
    ! [X0,X1,X2] :
      ( sQ711_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ711_spl])],[split_symbol_definition]) ).

fof(f15132,plain,
    ! [X0,X1,X2] :
      ( ~ sQ711_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15131]) ).

fof(f15134,plain,
    ( ~ sQ13_spl
    | sQ711_spl ),
    inference(split_clause,[status(thm)],[f15125,f15131,f1367]) ).

fof(f15135,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3072,f201]) ).

fof(f15136,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3072,f184]) ).

fof(f15138,definition,
    ! [X0,X1] :
      ( sQ712_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ712_spl])],[split_symbol_definition]) ).

fof(f15139,plain,
    ! [X0,X1] :
      ( ~ sQ712_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15138]) ).

fof(f15141,plain,
    ( ~ sQ13_spl
    | sQ712_spl ),
    inference(split_clause,[status(thm)],[f15135,f15138,f1367]) ).

fof(f15142,definition,
    ! [X0,X1,X2] :
      ( sQ713_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ713_spl])],[split_symbol_definition]) ).

fof(f15143,plain,
    ! [X0,X1,X2] :
      ( ~ sQ713_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15142]) ).

fof(f15145,plain,
    ( ~ sQ13_spl
    | sQ713_spl ),
    inference(split_clause,[status(thm)],[f15136,f15142,f1367]) ).

fof(f15146,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3071,f201]) ).

fof(f15147,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3071,f184]) ).

fof(f15149,definition,
    ! [X0,X1] :
      ( sQ714_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ714_spl])],[split_symbol_definition]) ).

fof(f15150,plain,
    ! [X0,X1] :
      ( ~ sQ714_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15149]) ).

fof(f15152,plain,
    ( ~ sQ13_spl
    | sQ714_spl ),
    inference(split_clause,[status(thm)],[f15146,f15149,f1367]) ).

fof(f15153,definition,
    ! [X0,X1,X2] :
      ( sQ715_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ715_spl])],[split_symbol_definition]) ).

fof(f15154,plain,
    ! [X0,X1,X2] :
      ( ~ sQ715_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15153]) ).

fof(f15156,plain,
    ( ~ sQ13_spl
    | sQ715_spl ),
    inference(split_clause,[status(thm)],[f15147,f15153,f1367]) ).

fof(f15157,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3070,f201]) ).

fof(f15158,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3070,f184]) ).

fof(f15160,definition,
    ! [X0,X1] :
      ( sQ716_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ716_spl])],[split_symbol_definition]) ).

fof(f15161,plain,
    ! [X0,X1] :
      ( ~ sQ716_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15160]) ).

fof(f15163,plain,
    ( ~ sQ13_spl
    | sQ716_spl ),
    inference(split_clause,[status(thm)],[f15157,f15160,f1367]) ).

fof(f15164,definition,
    ! [X0,X1,X2] :
      ( sQ717_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ717_spl])],[split_symbol_definition]) ).

fof(f15165,plain,
    ! [X0,X1,X2] :
      ( ~ sQ717_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15164]) ).

fof(f15167,plain,
    ( ~ sQ13_spl
    | sQ717_spl ),
    inference(split_clause,[status(thm)],[f15158,f15164,f1367]) ).

fof(f15168,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3069,f201]) ).

fof(f15169,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3069,f184]) ).

fof(f15171,definition,
    ! [X0,X1] :
      ( sQ718_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ718_spl])],[split_symbol_definition]) ).

fof(f15172,plain,
    ! [X0,X1] :
      ( ~ sQ718_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15171]) ).

fof(f15174,plain,
    ( ~ sQ13_spl
    | sQ718_spl ),
    inference(split_clause,[status(thm)],[f15168,f15171,f1367]) ).

fof(f15175,definition,
    ! [X0,X1,X2] :
      ( sQ719_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ719_spl])],[split_symbol_definition]) ).

fof(f15176,plain,
    ! [X0,X1,X2] :
      ( ~ sQ719_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15175]) ).

fof(f15178,plain,
    ( ~ sQ13_spl
    | sQ719_spl ),
    inference(split_clause,[status(thm)],[f15169,f15175,f1367]) ).

fof(f15179,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3068,f201]) ).

fof(f15180,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3068,f184]) ).

fof(f15182,definition,
    ! [X0,X1] :
      ( sQ720_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition]) ).

fof(f15183,plain,
    ! [X0,X1] :
      ( ~ sQ720_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15182]) ).

fof(f15185,plain,
    ( ~ sQ13_spl
    | sQ720_spl ),
    inference(split_clause,[status(thm)],[f15179,f15182,f1367]) ).

fof(f15186,definition,
    ! [X0,X1,X2] :
      ( sQ721_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ721_spl])],[split_symbol_definition]) ).

fof(f15187,plain,
    ! [X0,X1,X2] :
      ( ~ sQ721_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15186]) ).

fof(f15189,plain,
    ( ~ sQ13_spl
    | sQ721_spl ),
    inference(split_clause,[status(thm)],[f15180,f15186,f1367]) ).

fof(f15190,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3065,f201]) ).

fof(f15191,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3065,f184]) ).

fof(f15193,definition,
    ! [X0,X1] :
      ( sQ722_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ722_spl])],[split_symbol_definition]) ).

fof(f15194,plain,
    ! [X0,X1] :
      ( ~ sQ722_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15193]) ).

fof(f15196,plain,
    ( ~ sQ13_spl
    | sQ722_spl ),
    inference(split_clause,[status(thm)],[f15190,f15193,f1367]) ).

fof(f15197,definition,
    ! [X0,X1,X2] :
      ( sQ723_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ723_spl])],[split_symbol_definition]) ).

fof(f15198,plain,
    ! [X0,X1,X2] :
      ( ~ sQ723_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15197]) ).

fof(f15200,plain,
    ( ~ sQ13_spl
    | sQ723_spl ),
    inference(split_clause,[status(thm)],[f15191,f15197,f1367]) ).

fof(f15201,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3064,f201]) ).

fof(f15202,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3064,f184]) ).

fof(f15204,definition,
    ! [X0,X1] :
      ( sQ724_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ724_spl])],[split_symbol_definition]) ).

fof(f15205,plain,
    ! [X0,X1] :
      ( ~ sQ724_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15204]) ).

fof(f15207,plain,
    ( ~ sQ13_spl
    | sQ724_spl ),
    inference(split_clause,[status(thm)],[f15201,f15204,f1367]) ).

fof(f15208,definition,
    ! [X0,X1,X2] :
      ( sQ725_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ725_spl])],[split_symbol_definition]) ).

fof(f15209,plain,
    ! [X0,X1,X2] :
      ( ~ sQ725_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15208]) ).

fof(f15211,plain,
    ( ~ sQ13_spl
    | sQ725_spl ),
    inference(split_clause,[status(thm)],[f15202,f15208,f1367]) ).

fof(f15212,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3063,f201]) ).

fof(f15213,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3063,f184]) ).

fof(f15215,definition,
    ! [X0,X1] :
      ( sQ726_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ726_spl])],[split_symbol_definition]) ).

fof(f15216,plain,
    ! [X0,X1] :
      ( ~ sQ726_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15215]) ).

fof(f15218,plain,
    ( ~ sQ13_spl
    | sQ726_spl ),
    inference(split_clause,[status(thm)],[f15212,f15215,f1367]) ).

fof(f15219,definition,
    ! [X0,X1,X2] :
      ( sQ727_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ727_spl])],[split_symbol_definition]) ).

fof(f15220,plain,
    ! [X0,X1,X2] :
      ( ~ sQ727_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15219]) ).

fof(f15222,plain,
    ( ~ sQ13_spl
    | sQ727_spl ),
    inference(split_clause,[status(thm)],[f15213,f15219,f1367]) ).

fof(f15223,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3062,f201]) ).

fof(f15224,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3062,f184]) ).

fof(f15226,definition,
    ! [X0,X1] :
      ( sQ728_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ728_spl])],[split_symbol_definition]) ).

fof(f15227,plain,
    ! [X0,X1] :
      ( ~ sQ728_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15226]) ).

fof(f15229,plain,
    ( ~ sQ13_spl
    | sQ728_spl ),
    inference(split_clause,[status(thm)],[f15223,f15226,f1367]) ).

fof(f15230,definition,
    ! [X0,X1,X2] :
      ( sQ729_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ729_spl])],[split_symbol_definition]) ).

fof(f15231,plain,
    ! [X0,X1,X2] :
      ( ~ sQ729_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15230]) ).

fof(f15233,plain,
    ( ~ sQ13_spl
    | sQ729_spl ),
    inference(split_clause,[status(thm)],[f15224,f15230,f1367]) ).

fof(f15234,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3061,f201]) ).

fof(f15235,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3061,f184]) ).

fof(f15237,definition,
    ! [X0,X1] :
      ( sQ730_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ730_spl])],[split_symbol_definition]) ).

fof(f15238,plain,
    ! [X0,X1] :
      ( ~ sQ730_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15237]) ).

fof(f15240,plain,
    ( ~ sQ13_spl
    | sQ730_spl ),
    inference(split_clause,[status(thm)],[f15234,f15237,f1367]) ).

fof(f15241,definition,
    ! [X0,X1,X2] :
      ( sQ731_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ731_spl])],[split_symbol_definition]) ).

fof(f15242,plain,
    ! [X0,X1,X2] :
      ( ~ sQ731_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15241]) ).

fof(f15244,plain,
    ( ~ sQ13_spl
    | sQ731_spl ),
    inference(split_clause,[status(thm)],[f15235,f15241,f1367]) ).

fof(f15245,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3060,f201]) ).

fof(f15246,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3060,f184]) ).

fof(f15248,definition,
    ! [X0,X1] :
      ( sQ732_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ732_spl])],[split_symbol_definition]) ).

fof(f15249,plain,
    ! [X0,X1] :
      ( ~ sQ732_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15248]) ).

fof(f15251,plain,
    ( ~ sQ13_spl
    | sQ732_spl ),
    inference(split_clause,[status(thm)],[f15245,f15248,f1367]) ).

fof(f15252,definition,
    ! [X0,X1,X2] :
      ( sQ733_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ733_spl])],[split_symbol_definition]) ).

fof(f15253,plain,
    ! [X0,X1,X2] :
      ( ~ sQ733_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15252]) ).

fof(f15255,plain,
    ( ~ sQ13_spl
    | sQ733_spl ),
    inference(split_clause,[status(thm)],[f15246,f15252,f1367]) ).

fof(f15259,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))),X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f13999,f172]) ).

fof(f15260,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X2)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f13999,f171]) ).

fof(f15261,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X2,X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f13999,f169]) ).

fof(f15262,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f282]) ).

fof(f15263,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f284]) ).

fof(f15264,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f294]) ).

fof(f15265,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f12215]) ).

fof(f15266,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f312]) ).

fof(f15267,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f316]) ).

fof(f15268,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f331]) ).

fof(f15269,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f336]) ).

fof(f15270,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f277]) ).

fof(f15271,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f278]) ).

fof(f15272,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f276]) ).

fof(f15273,plain,
    ! [X0,X1,X2] :
      ( open(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),cx,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f3035]) ).

fof(f15274,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f308]) ).

fof(f15275,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f1148]) ).

fof(f15276,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(X4,union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f13999,f116]) ).

fof(f15277,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_collection(f1(X2,f11(X4,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f13999,f4407]) ).

fof(f15278,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f13999,f4396]) ).

fof(f15279,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(X2)),f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f13999,f3199]) ).

fof(f15280,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,X2)
      | ~ element_of_collection(X2,subspace_topology(X3,subspace_topology(X1,X4,X0),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15260,f118]) ).

fof(f15281,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,X2)
      | ~ element_of_collection(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15261,f118]) ).

fof(f15282,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(X8,intersection_of_members(subspace_topology(X3,subspace_topology(X4,subspace_topology(X1,X5,X0),X6),X7)))
      | element_of_set(X2,f12(X3,subspace_topology(X4,subspace_topology(X1,X5,X0),X6),X7,f2(subspace_topology(X3,subspace_topology(X4,subspace_topology(X1,X5,X0),X6),X7),X8)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15280,f13999]) ).

fof(f15283,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(interior(X3,X4,subspace_topology(X5,subspace_topology(X1,X6,X0),X7)),top_of_basis(X8))
      | element_of_set(X2,f13(X3,X4,subspace_topology(X5,subspace_topology(X1,X6,X0),X7),f11(X8,interior(X3,X4,subspace_topology(X5,subspace_topology(X1,X6,X0),X7)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15280,f12204]) ).

fof(f15285,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X7,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))),top_of_basis(X6))
      | element_of_collection(union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),top_of_basis(X7))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X6,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X7,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15280,f6683]) ).

fof(f15287,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),top_of_basis(X7))
      | element_of_collection(intersection_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X6,intersection_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15280,f6698]) ).

fof(f15289,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X6,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15280,f1083]) ).

fof(f15290,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(X8,intersection_of_members(subspace_topology(X3,subspace_topology(X4,subspace_topology(X0,X1,X5),X6),X7)))
      | element_of_set(X2,f12(X3,subspace_topology(X4,subspace_topology(X0,X1,X5),X6),X7,f2(subspace_topology(X3,subspace_topology(X4,subspace_topology(X0,X1,X5),X6),X7),X8)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f13999]) ).

fof(f15291,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(interior(X3,X4,subspace_topology(X5,subspace_topology(X0,X1,X6),X7)),top_of_basis(X8))
      | element_of_set(X2,f13(X3,X4,subspace_topology(X5,subspace_topology(X0,X1,X6),X7),f11(X8,interior(X3,X4,subspace_topology(X5,subspace_topology(X0,X1,X6),X7)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f12204]) ).

fof(f15293,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X7,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))),top_of_basis(X6))
      | element_of_collection(union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),top_of_basis(X7))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X6,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X7,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f6683]) ).

fof(f15295,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),top_of_basis(X7))
      | element_of_collection(intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X6,intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f6698]) ).

fof(f15297,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X6,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f1083]) ).

fof(f15298,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | ~ subset_sets(X0,X1)
      | element_of_set(X4,interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f14005,f12206]) ).

fof(f15299,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f16(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct),X3,cx,ct)
      | limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14005,f1151]) ).

fof(f15300,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),f14(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct,X3))
      | element_of_set(X3,closure(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14005,f1150]) ).

fof(f15301,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f16(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1)))),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))))),X3)
      | limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14005,f2337]) ).

fof(f15302,plain,
    ! [X0,X1,X2,X3] :
      ( closed(f14(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct,X3),cx,ct)
      | element_of_set(X3,closure(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14005,f1157]) ).

fof(f15303,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | ~ subset_sets(X0,X1)
      | element_of_set(X4,interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f15298]) ).

fof(f15304,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_set(X4,interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15303,f1087]) ).

fof(f15305,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3059,f201]) ).

fof(f15306,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3059,f184]) ).

fof(f15308,definition,
    ! [X0,X1] :
      ( sQ734_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ734_spl])],[split_symbol_definition]) ).

fof(f15309,plain,
    ! [X0,X1] :
      ( ~ sQ734_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15308]) ).

fof(f15311,plain,
    ( ~ sQ13_spl
    | sQ734_spl ),
    inference(split_clause,[status(thm)],[f15305,f15308,f1367]) ).

fof(f15312,definition,
    ! [X0,X1,X2] :
      ( sQ735_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ735_spl])],[split_symbol_definition]) ).

fof(f15313,plain,
    ! [X0,X1,X2] :
      ( ~ sQ735_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15312]) ).

fof(f15315,plain,
    ( ~ sQ13_spl
    | sQ735_spl ),
    inference(split_clause,[status(thm)],[f15306,f15312,f1367]) ).

fof(f15316,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3058,f201]) ).

fof(f15317,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3058,f184]) ).

fof(f15319,definition,
    ! [X0,X1] :
      ( sQ736_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ736_spl])],[split_symbol_definition]) ).

fof(f15320,plain,
    ! [X0,X1] :
      ( ~ sQ736_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15319]) ).

fof(f15322,plain,
    ( ~ sQ13_spl
    | sQ736_spl ),
    inference(split_clause,[status(thm)],[f15316,f15319,f1367]) ).

fof(f15323,definition,
    ! [X0,X1,X2] :
      ( sQ737_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ737_spl])],[split_symbol_definition]) ).

fof(f15324,plain,
    ! [X0,X1,X2] :
      ( ~ sQ737_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15323]) ).

fof(f15326,plain,
    ( ~ sQ13_spl
    | sQ737_spl ),
    inference(split_clause,[status(thm)],[f15317,f15323,f1367]) ).

fof(f15327,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3053,f201]) ).

fof(f15328,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3053,f184]) ).

fof(f15330,definition,
    ! [X0,X1] :
      ( sQ738_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ738_spl])],[split_symbol_definition]) ).

fof(f15331,plain,
    ! [X0,X1] :
      ( ~ sQ738_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15330]) ).

fof(f15333,plain,
    ( ~ sQ13_spl
    | sQ738_spl ),
    inference(split_clause,[status(thm)],[f15327,f15330,f1367]) ).

fof(f15334,definition,
    ! [X0,X1,X2] :
      ( sQ739_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ739_spl])],[split_symbol_definition]) ).

fof(f15335,plain,
    ! [X0,X1,X2] :
      ( ~ sQ739_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15334]) ).

fof(f15337,plain,
    ( ~ sQ13_spl
    | sQ739_spl ),
    inference(split_clause,[status(thm)],[f15328,f15334,f1367]) ).

fof(f15338,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3052,f201]) ).

fof(f15339,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3052,f184]) ).

fof(f15341,definition,
    ! [X0,X1] :
      ( sQ740_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ740_spl])],[split_symbol_definition]) ).

fof(f15342,plain,
    ! [X0,X1] :
      ( ~ sQ740_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15341]) ).

fof(f15344,plain,
    ( ~ sQ13_spl
    | sQ740_spl ),
    inference(split_clause,[status(thm)],[f15338,f15341,f1367]) ).

fof(f15345,definition,
    ! [X0,X1,X2] :
      ( sQ741_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ741_spl])],[split_symbol_definition]) ).

fof(f15346,plain,
    ! [X0,X1,X2] :
      ( ~ sQ741_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15345]) ).

fof(f15348,plain,
    ( ~ sQ13_spl
    | sQ741_spl ),
    inference(split_clause,[status(thm)],[f15339,f15345,f1367]) ).

fof(f15349,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3051,f201]) ).

fof(f15350,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3051,f184]) ).

fof(f15352,definition,
    ! [X0,X1] :
      ( sQ742_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ742_spl])],[split_symbol_definition]) ).

fof(f15353,plain,
    ! [X0,X1] :
      ( ~ sQ742_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15352]) ).

fof(f15355,plain,
    ( ~ sQ13_spl
    | sQ742_spl ),
    inference(split_clause,[status(thm)],[f15349,f15352,f1367]) ).

fof(f15356,definition,
    ! [X0,X1,X2] :
      ( sQ743_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ743_spl])],[split_symbol_definition]) ).

fof(f15357,plain,
    ! [X0,X1,X2] :
      ( ~ sQ743_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15356]) ).

fof(f15359,plain,
    ( ~ sQ13_spl
    | sQ743_spl ),
    inference(split_clause,[status(thm)],[f15350,f15356,f1367]) ).

fof(f15360,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3050,f201]) ).

fof(f15361,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3050,f184]) ).

fof(f15363,definition,
    ! [X0,X1] :
      ( sQ744_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ744_spl])],[split_symbol_definition]) ).

fof(f15364,plain,
    ! [X0,X1] :
      ( ~ sQ744_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15363]) ).

fof(f15366,plain,
    ( ~ sQ13_spl
    | sQ744_spl ),
    inference(split_clause,[status(thm)],[f15360,f15363,f1367]) ).

fof(f15367,definition,
    ! [X0,X1,X2] :
      ( sQ745_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ745_spl])],[split_symbol_definition]) ).

fof(f15368,plain,
    ! [X0,X1,X2] :
      ( ~ sQ745_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15367]) ).

fof(f15370,plain,
    ( ~ sQ13_spl
    | sQ745_spl ),
    inference(split_clause,[status(thm)],[f15361,f15367,f1367]) ).

fof(f15371,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3047,f201]) ).

fof(f15372,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3047,f184]) ).

fof(f15374,definition,
    ! [X0,X1] :
      ( sQ746_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ746_spl])],[split_symbol_definition]) ).

fof(f15375,plain,
    ! [X0,X1] :
      ( ~ sQ746_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15374]) ).

fof(f15377,plain,
    ( ~ sQ13_spl
    | sQ746_spl ),
    inference(split_clause,[status(thm)],[f15371,f15374,f1367]) ).

fof(f15378,definition,
    ! [X0,X1,X2] :
      ( sQ747_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ747_spl])],[split_symbol_definition]) ).

fof(f15379,plain,
    ! [X0,X1,X2] :
      ( ~ sQ747_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15378]) ).

fof(f15381,plain,
    ( ~ sQ13_spl
    | sQ747_spl ),
    inference(split_clause,[status(thm)],[f15372,f15378,f1367]) ).

fof(f15382,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3046,f201]) ).

fof(f15383,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3046,f184]) ).

fof(f15385,definition,
    ! [X0,X1] :
      ( sQ748_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ748_spl])],[split_symbol_definition]) ).

fof(f15386,plain,
    ! [X0,X1] :
      ( ~ sQ748_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15385]) ).

fof(f15388,plain,
    ( ~ sQ13_spl
    | sQ748_spl ),
    inference(split_clause,[status(thm)],[f15382,f15385,f1367]) ).

fof(f15389,definition,
    ! [X0,X1,X2] :
      ( sQ749_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ749_spl])],[split_symbol_definition]) ).

fof(f15390,plain,
    ! [X0,X1,X2] :
      ( ~ sQ749_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15389]) ).

fof(f15392,plain,
    ( ~ sQ13_spl
    | sQ749_spl ),
    inference(split_clause,[status(thm)],[f15383,f15389,f1367]) ).

fof(f15393,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3045,f201]) ).

fof(f15394,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3045,f184]) ).

fof(f15396,definition,
    ! [X0,X1] :
      ( sQ750_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ750_spl])],[split_symbol_definition]) ).

fof(f15397,plain,
    ! [X0,X1] :
      ( ~ sQ750_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15396]) ).

fof(f15399,plain,
    ( ~ sQ13_spl
    | sQ750_spl ),
    inference(split_clause,[status(thm)],[f15393,f15396,f1367]) ).

fof(f15400,definition,
    ! [X0,X1,X2] :
      ( sQ751_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ751_spl])],[split_symbol_definition]) ).

fof(f15401,plain,
    ! [X0,X1,X2] :
      ( ~ sQ751_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15400]) ).

fof(f15403,plain,
    ( ~ sQ13_spl
    | sQ751_spl ),
    inference(split_clause,[status(thm)],[f15394,f15400,f1367]) ).

fof(f15404,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3044,f201]) ).

fof(f15405,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3044,f184]) ).

fof(f15407,definition,
    ! [X0,X1] :
      ( sQ752_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ752_spl])],[split_symbol_definition]) ).

fof(f15408,plain,
    ! [X0,X1] :
      ( ~ sQ752_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15407]) ).

fof(f15410,plain,
    ( ~ sQ13_spl
    | sQ752_spl ),
    inference(split_clause,[status(thm)],[f15404,f15407,f1367]) ).

fof(f15411,definition,
    ! [X0,X1,X2] :
      ( sQ753_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ753_spl])],[split_symbol_definition]) ).

fof(f15412,plain,
    ! [X0,X1,X2] :
      ( ~ sQ753_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15411]) ).

fof(f15414,plain,
    ( ~ sQ13_spl
    | sQ753_spl ),
    inference(split_clause,[status(thm)],[f15405,f15411,f1367]) ).

fof(f15415,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3043,f201]) ).

fof(f15416,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3043,f184]) ).

fof(f15418,definition,
    ! [X0,X1] :
      ( sQ754_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ754_spl])],[split_symbol_definition]) ).

fof(f15419,plain,
    ! [X0,X1] :
      ( ~ sQ754_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15418]) ).

fof(f15421,plain,
    ( ~ sQ13_spl
    | sQ754_spl ),
    inference(split_clause,[status(thm)],[f15415,f15418,f1367]) ).

fof(f15422,definition,
    ! [X0,X1,X2] :
      ( sQ755_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ755_spl])],[split_symbol_definition]) ).

fof(f15423,plain,
    ! [X0,X1,X2] :
      ( ~ sQ755_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15422]) ).

fof(f15425,plain,
    ( ~ sQ13_spl
    | sQ755_spl ),
    inference(split_clause,[status(thm)],[f15416,f15422,f1367]) ).

fof(f15426,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3042,f201]) ).

fof(f15427,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3042,f184]) ).

fof(f15429,definition,
    ! [X0,X1] :
      ( sQ756_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ756_spl])],[split_symbol_definition]) ).

fof(f15430,plain,
    ! [X0,X1] :
      ( ~ sQ756_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15429]) ).

fof(f15432,plain,
    ( ~ sQ13_spl
    | sQ756_spl ),
    inference(split_clause,[status(thm)],[f15426,f15429,f1367]) ).

fof(f15433,definition,
    ! [X0,X1,X2] :
      ( sQ757_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ757_spl])],[split_symbol_definition]) ).

fof(f15434,plain,
    ! [X0,X1,X2] :
      ( ~ sQ757_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15433]) ).

fof(f15436,plain,
    ( ~ sQ13_spl
    | sQ757_spl ),
    inference(split_clause,[status(thm)],[f15427,f15433,f1367]) ).

fof(f15437,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3041,f201]) ).

fof(f15438,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3041,f184]) ).

fof(f15440,definition,
    ! [X0,X1] :
      ( sQ758_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ758_spl])],[split_symbol_definition]) ).

fof(f15441,plain,
    ! [X0,X1] :
      ( ~ sQ758_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15440]) ).

fof(f15443,plain,
    ( ~ sQ13_spl
    | sQ758_spl ),
    inference(split_clause,[status(thm)],[f15437,f15440,f1367]) ).

fof(f15444,definition,
    ! [X0,X1,X2] :
      ( sQ759_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition]) ).

fof(f15445,plain,
    ! [X0,X1,X2] :
      ( ~ sQ759_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15444]) ).

fof(f15447,plain,
    ( ~ sQ13_spl
    | sQ759_spl ),
    inference(split_clause,[status(thm)],[f15438,f15444,f1367]) ).

fof(f15448,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3040,f201]) ).

fof(f15449,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3040,f184]) ).

fof(f15451,definition,
    ! [X0,X1] :
      ( sQ760_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ760_spl])],[split_symbol_definition]) ).

fof(f15452,plain,
    ! [X0,X1] :
      ( ~ sQ760_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15451]) ).

fof(f15454,plain,
    ( ~ sQ13_spl
    | sQ760_spl ),
    inference(split_clause,[status(thm)],[f15448,f15451,f1367]) ).

fof(f15455,definition,
    ! [X0,X1,X2] :
      ( sQ761_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ761_spl])],[split_symbol_definition]) ).

fof(f15456,plain,
    ! [X0,X1,X2] :
      ( ~ sQ761_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15455]) ).

fof(f15458,plain,
    ( ~ sQ13_spl
    | sQ761_spl ),
    inference(split_clause,[status(thm)],[f15449,f15455,f1367]) ).

fof(f15459,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3039,f201]) ).

fof(f15460,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3039,f184]) ).

fof(f15462,definition,
    ! [X0,X1] :
      ( sQ762_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
        | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X1,cx,ct)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ762_spl])],[split_symbol_definition]) ).

fof(f15463,plain,
    ! [X0,X1] :
      ( ~ sQ762_spl
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X1,cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15462]) ).

fof(f15465,plain,
    ( ~ sQ13_spl
    | sQ762_spl ),
    inference(split_clause,[status(thm)],[f15459,f15462,f1367]) ).

fof(f15466,definition,
    ! [X0,X1,X2] :
      ( sQ763_spl
    <=> ( ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X2)
        | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ763_spl])],[split_symbol_definition]) ).

fof(f15467,plain,
    ! [X0,X1,X2] :
      ( ~ sQ763_spl
      | ~ subset_sets(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X2)
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f15466]) ).

fof(f15469,plain,
    ( ~ sQ13_spl
    | sQ763_spl ),
    inference(split_clause,[status(thm)],[f15460,f15466,f1367]) ).

fof(f15470,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),X1,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8009,f201]) ).

fof(f15471,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8009,f184]) ).

fof(f15473,definition,
    ! [X0,X1] :
      ( sQ764_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
        | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),X1,cx,ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ764_spl])],[split_symbol_definition]) ).

fof(f15474,plain,
    ! [X0,X1] :
      ( ~ sQ764_spl
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),X1,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15473]) ).

fof(f15476,plain,
    ( ~ sQ13_spl
    | sQ764_spl ),
    inference(split_clause,[status(thm)],[f15470,f15473,f1367]) ).

fof(f15477,definition,
    ! [X0,X1,X2] :
      ( sQ765_spl
    <=> ( ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ765_spl])],[split_symbol_definition]) ).

fof(f15478,plain,
    ! [X0,X1,X2] :
      ( ~ sQ765_spl
      | ~ subset_sets(intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15477]) ).

fof(f15480,plain,
    ( ~ sQ13_spl
    | sQ765_spl ),
    inference(split_clause,[status(thm)],[f15471,f15477,f1367]) ).

fof(f15481,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | ~ topological_space(cx,ct)
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),X1,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8020,f201]) ).

fof(f15482,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8020,f184]) ).

fof(f15484,definition,
    ! [X0,X1] :
      ( sQ766_spl
    <=> ( ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
        | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),X1,cx,ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ766_spl])],[split_symbol_definition]) ).

fof(f15485,plain,
    ! [X0,X1] :
      ( ~ sQ766_spl
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),X1,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15484]) ).

fof(f15487,plain,
    ( ~ sQ13_spl
    | sQ766_spl ),
    inference(split_clause,[status(thm)],[f15481,f15484,f1367]) ).

fof(f15488,definition,
    ! [X0,X1,X2] :
      ( sQ767_spl
    <=> ( ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),X2)
        | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ767_spl])],[split_symbol_definition]) ).

fof(f15489,plain,
    ! [X0,X1,X2] :
      ( ~ sQ767_spl
      | ~ subset_sets(intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))),X2)
      | ~ element_of_set(X1,intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct)))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15488]) ).

fof(f15491,plain,
    ( ~ sQ13_spl
    | sQ767_spl ),
    inference(split_clause,[status(thm)],[f15482,f15488,f1367]) ).

fof(f15492,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8033,f201]) ).

fof(f15493,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8033,f184]) ).

fof(f15495,definition,
    ! [X0,X1] :
      ( sQ768_spl
    <=> ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
        | neighborhood(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),X1,cx,ct)
        | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ768_spl])],[split_symbol_definition]) ).

fof(f15496,plain,
    ! [X0,X1] :
      ( ~ sQ768_spl
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | neighborhood(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),X1,cx,ct)
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15495]) ).

fof(f15498,plain,
    ( ~ sQ13_spl
    | sQ768_spl ),
    inference(split_clause,[status(thm)],[f15492,f15495,f1367]) ).

fof(f15499,definition,
    ! [X0,X1,X2] :
      ( sQ769_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ769_spl])],[split_symbol_definition]) ).

fof(f15500,plain,
    ! [X0,X1,X2] :
      ( ~ sQ769_spl
      | ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(empty_set,cx))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(empty_set,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15499]) ).

fof(f15502,plain,
    ( ~ sQ13_spl
    | sQ769_spl ),
    inference(split_clause,[status(thm)],[f15493,f15499,f1367]) ).

fof(f15503,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8044,f201]) ).

fof(f15504,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8044,f184]) ).

fof(f15506,definition,
    ! [X0,X1] :
      ( sQ770_spl
    <=> ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
        | neighborhood(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),X1,cx,ct)
        | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ770_spl])],[split_symbol_definition]) ).

fof(f15507,plain,
    ! [X0,X1] :
      ( ~ sQ770_spl
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | neighborhood(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),X1,cx,ct)
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15506]) ).

fof(f15509,plain,
    ( ~ sQ13_spl
    | sQ770_spl ),
    inference(split_clause,[status(thm)],[f15503,f15506,f1367]) ).

fof(f15510,definition,
    ! [X0,X1,X2] :
      ( sQ771_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ771_spl])],[split_symbol_definition]) ).

fof(f15511,plain,
    ! [X0,X1,X2] :
      ( ~ sQ771_spl
      | ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(cx,empty_set))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,empty_set))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15510]) ).

fof(f15513,plain,
    ( ~ sQ13_spl
    | sQ771_spl ),
    inference(split_clause,[status(thm)],[f15504,f15510,f1367]) ).

fof(f15514,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | neighborhood(f1(ct,f11(X0,intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8055,f201]) ).

fof(f15515,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f8055,f184]) ).

fof(f15517,definition,
    ! [X0,X1] :
      ( sQ772_spl
    <=> ( ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
        | neighborhood(f1(ct,f11(X0,intersection_of_sets(cx,cx))),X1,cx,ct)
        | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ772_spl])],[split_symbol_definition]) ).

fof(f15518,plain,
    ! [X0,X1] :
      ( ~ sQ772_spl
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | neighborhood(f1(ct,f11(X0,intersection_of_sets(cx,cx))),X1,cx,ct)
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15517]) ).

fof(f15520,plain,
    ( ~ sQ13_spl
    | sQ772_spl ),
    inference(split_clause,[status(thm)],[f15514,f15517,f1367]) ).

fof(f15521,definition,
    ! [X0,X1,X2] :
      ( sQ773_spl
    <=> ( ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(cx,cx))),X2)
        | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ773_spl])],[split_symbol_definition]) ).

fof(f15522,plain,
    ! [X0,X1,X2] :
      ( ~ sQ773_spl
      | ~ subset_sets(f1(ct,f11(X0,intersection_of_sets(cx,cx))),X2)
      | ~ element_of_set(X1,f1(ct,f11(X0,intersection_of_sets(cx,cx))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f15521]) ).

fof(f15524,plain,
    ( ~ sQ13_spl
    | sQ773_spl ),
    inference(split_clause,[status(thm)],[f15515,f15521,f1367]) ).

fof(f15525,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X3,interior(X0,X1,X2)),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f13997,f12205]) ).

fof(f15526,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X3,interior(X0,X1,X2)),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f15525]) ).

fof(f15527,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(X8,f12(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6,f1(subspace_topology(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6),f11(X7,union_of_members(subspace_topology(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6))))))
      | topological_space(X2,X3)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6)),top_of_basis(X7)) ),
    inference(resolution,[status(thm)],[f14004,f15281]) ).

fof(f15528,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(X8,f12(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6,f1(subspace_topology(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6),f11(X7,union_of_members(subspace_topology(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6))))))
      | subset_sets(X4,X2)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X6)),top_of_basis(X7)) ),
    inference(resolution,[status(thm)],[f14004,f15280]) ).

fof(f15529,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))))),X2)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f14004,f172]) ).

fof(f15530,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X1)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f14004,f171]) ).

fof(f15531,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X1,X2)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f14004,f169]) ).

fof(f15532,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f282]) ).

fof(f15533,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f284]) ).

fof(f15534,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f294]) ).

fof(f15535,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f12215]) ).

fof(f15536,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f312]) ).

fof(f15537,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f316]) ).

fof(f15538,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f331]) ).

fof(f15539,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f336]) ).

fof(f15540,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f277]) ).

fof(f15541,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f278]) ).

fof(f15542,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1))))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f276]) ).

fof(f15543,plain,
    ! [X0,X1,X2] :
      ( open(f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1))))),cx,ct)
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f3035]) ).

fof(f15544,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f308]) ).

fof(f15545,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f14004,f1148]) ).

fof(f15546,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))
      | element_of_set(X4,union_of_members(X1))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f14004,f116]) ).

fof(f15547,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))
      | element_of_collection(f1(X1,f11(X4,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f14004,f4407]) ).

fof(f15548,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))
      | element_of_set(f11(X4,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f14004,f4396]) ).

fof(f15549,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(X1)),f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f14004,f3199]) ).

fof(f15550,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_set(X10,f12(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8,f12(X1,subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8),X9,f2(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8),X9),X0))))
      | topological_space(X4,X5)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8),X9))) ),
    inference(resolution,[status(thm)],[f15259,f15281]) ).

fof(f15551,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_set(X10,f12(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8,f12(X1,subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8),X9,f2(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8),X9),X0))))
      | subset_sets(X6,X4)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8),X9))) ),
    inference(resolution,[status(thm)],[f15259,f15280]) ).

fof(f15552,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f12(X3,X4,X5,f12(X2,subspace_topology(X3,X4,X5),X6,f12(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7,f2(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7),X0)))),X4)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f15259,f172]) ).

fof(f15553,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( subset_sets(X5,X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f15259,f171]) ).

fof(f15554,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( topological_space(X3,X4)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f15259,f169]) ).

fof(f15555,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f282]) ).

fof(f15556,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f284]) ).

fof(f15557,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f294]) ).

fof(f15558,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(intersection_of_sets(f13(X5,X6,ct,f11(X7,interior(X5,X6,ct))),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_collection(interior(X5,X6,ct),top_of_basis(X7))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f12215]) ).

fof(f15559,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X5)),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X5,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f312]) ).

fof(f15560,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X5)),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X5,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f316]) ).

fof(f15561,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X5),empty_set),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X5,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f331]) ).

fof(f15562,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X5),cx),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X5,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f336]) ).

fof(f15563,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(empty_set,f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f277]) ).

fof(f15564,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(cx,f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f278]) ).

fof(f15565,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0))),X5),ct)
      | ~ element_of_collection(X5,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f276]) ).

fof(f15566,plain,
    ! [X0,X1,X2,X3,X4] :
      ( open(f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f3035]) ).

fof(f15567,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f2(ct,X5),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_set(X5,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f308]) ).

fof(f15568,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X5,union_of_members(ct))),f12(X2,ct,X3,f12(X1,subspace_topology(X2,ct,X3),X4,f2(subspace_topology(X1,subspace_topology(X2,ct,X3),X4),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X5))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,ct,X3),X4))) ),
    inference(resolution,[status(thm)],[f15259,f1148]) ).

fof(f15569,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X6,f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))))
      | element_of_set(X6,union_of_members(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f15259,f116]) ).

fof(f15570,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X7,f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))))
      | element_of_collection(f1(X3,f11(X6,intersection_of_members(X3))),X3)
      | element_of_collection(intersection_of_members(X3),top_of_basis(X6))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f15259,f4407]) ).

fof(f15571,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X7,f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))))
      | element_of_set(f11(X6,intersection_of_members(X3)),union_of_members(X3))
      | element_of_collection(intersection_of_members(X3),top_of_basis(X6))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f15259,f4396]) ).

fof(f15572,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(X3),top_of_basis(X6))
      | element_of_set(f11(X6,intersection_of_members(X3)),f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f15259,f3199]) ).

fof(f15573,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X7,intersection_of_members(subspace_topology(X5,subspace_topology(X3,ct,X4),X6)))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f12(X3,ct,X4,f12(X5,subspace_topology(X3,ct,X4),X6,f2(subspace_topology(X5,subspace_topology(X3,ct,X4),X6),X7)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f15259]) ).

fof(f15574,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(union_of_members(subspace_topology(X3,ct,X4)),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f12(X3,ct,X4,f1(subspace_topology(X3,ct,X4),f11(X5,union_of_members(subspace_topology(X3,ct,X4)))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f14004]) ).

fof(f15575,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_members(subspace_topology(X3,ct,X4)))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X5))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13999]) ).

fof(f15576,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f13(X3,X4,ct,f11(X5,interior(X3,X4,ct)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f12204]) ).

fof(f15577,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f2(ct,X3)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f119]) ).

fof(f15578,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2011]) ).

fof(f15579,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2012]) ).

fof(f15580,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2153]) ).

fof(f15581,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2154]) ).

fof(f15582,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2299]) ).

fof(f15583,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2300]) ).

fof(f15584,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f522]) ).

fof(f15585,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f523]) ).

fof(f15586,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f530]) ).

fof(f15587,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f531]) ).

fof(f15588,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f532]) ).

fof(f15589,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f533]) ).

fof(f15590,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f572]) ).

fof(f15591,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f573]) ).

fof(f15592,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f580]) ).

fof(f15593,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f581]) ).

fof(f15594,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f582]) ).

fof(f15595,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f583]) ).

fof(f15596,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1609]) ).

fof(f15597,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1610]) ).

fof(f15598,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1873]) ).

fof(f15599,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1874]) ).

fof(f15600,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f448]) ).

fof(f15601,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f449]) ).

fof(f15602,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f456]) ).

fof(f15603,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f457]) ).

fof(f15604,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f458]) ).

fof(f15605,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f459]) ).

fof(f15606,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2537]) ).

fof(f15607,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2538]) ).

fof(f15608,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2565]) ).

fof(f15609,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2569]) ).

fof(f15610,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2598]) ).

fof(f15611,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2599]) ).

fof(f15612,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2486]) ).

fof(f15613,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2897]) ).

fof(f15614,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2898]) ).

fof(f15615,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2829]) ).

fof(f15616,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2830]) ).

fof(f15617,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2862]) ).

fof(f15618,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2863]) ).

fof(f15619,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2861]) ).

fof(f15620,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2895]) ).

fof(f15621,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2896]) ).

fof(f15622,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2865]) ).

fof(f15623,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2776]) ).

fof(f15624,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13505]) ).

fof(f15625,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13468]) ).

fof(f15626,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13433]) ).

fof(f15627,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13432]) ).

fof(f15628,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13352]) ).

fof(f15629,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13523]) ).

fof(f15630,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13522]) ).

fof(f15631,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1483]) ).

fof(f15632,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1484]) ).

fof(f15633,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1739]) ).

fof(f15634,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1740]) ).

fof(f15635,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f410]) ).

fof(f15636,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f411]) ).

fof(f15637,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f418]) ).

fof(f15638,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f419]) ).

fof(f15639,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f420]) ).

fof(f15640,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f421]) ).

fof(f15641,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3022]) ).

fof(f15642,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3023]) ).

fof(f15643,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2954]) ).

fof(f15644,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2955]) ).

fof(f15645,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2987]) ).

fof(f15646,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2988]) ).

fof(f15647,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2986]) ).

fof(f15648,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3020]) ).

fof(f15649,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3021]) ).

fof(f15650,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2990]) ).

fof(f15651,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2901]) ).

fof(f15652,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X4,X5,ct),top_of_basis(X6))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),f13(X4,X5,ct,f11(X6,interior(X4,X5,ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f12219]) ).

fof(f15653,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),f2(ct,X4))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f318]) ).

fof(f15654,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),f1(ct,f11(X4,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1145]) ).

fof(f15655,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13564]) ).

fof(f15656,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f13543]) ).

fof(f15657,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f8551]) ).

fof(f15658,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f8538]) ).

fof(f15659,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f8577]) ).

fof(f15660,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f8564]) ).

fof(f15661,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2747]) ).

fof(f15662,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2766]) ).

fof(f15663,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2633]) ).

fof(f15664,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2652]) ).

fof(f15665,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2671]) ).

fof(f15666,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2709]) ).

fof(f15667,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f320]) ).

fof(f15668,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f321]) ).

fof(f15669,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f323]) ).

fof(f15670,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2614]) ).

fof(f15671,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2690]) ).

fof(f15672,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2728]) ).

fof(f15673,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f324]) ).

fof(f15674,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f325]) ).

fof(f15675,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f326]) ).

fof(f15676,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f327]) ).

fof(f15677,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f12214]) ).

fof(f15678,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f287]) ).

fof(f15679,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f288]) ).

fof(f15680,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f538]) ).

fof(f15681,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f546]) ).

fof(f15682,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f589]) ).

fof(f15683,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f598]) ).

fof(f15684,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f484]) ).

fof(f15685,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f491]) ).

fof(f15686,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2748]) ).

fof(f15687,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2767]) ).

fof(f15688,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3309]) ).

fof(f15689,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3331]) ).

fof(f15690,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f14363]) ).

fof(f15691,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f424]) ).

fof(f15692,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f477]) ).

fof(f15693,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3353]) ).

fof(f15694,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2710]) ).

fof(f15695,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f339]) ).

fof(f15696,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f349]) ).

fof(f15697,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f379]) ).

fof(f15698,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f389]) ).

fof(f15699,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f289]) ).

fof(f15700,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f292]) ).

fof(f15701,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f310]) ).

fof(f15702,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2729]) ).

fof(f15703,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f344]) ).

fof(f15704,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f354]) ).

fof(f15705,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f384]) ).

fof(f15706,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f394]) ).

fof(f15707,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f285]) ).

fof(f15708,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f286]) ).

fof(f15709,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f314]) ).

fof(f15710,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f359]) ).

fof(f15711,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f364]) ).

fof(f15712,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f369]) ).

fof(f15713,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f374]) ).

fof(f15714,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f329]) ).

fof(f15715,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f334]) ).

fof(f15716,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f306]) ).

fof(f15717,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,f1(ct,f11(X3,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1146]) ).

fof(f15718,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,f1(ct,f11(X3,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f4387]) ).

fof(f15719,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f12213]) ).

fof(f15720,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f279]) ).

fof(f15721,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f280]) ).

fof(f15722,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f539]) ).

fof(f15723,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f547]) ).

fof(f15724,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f590]) ).

fof(f15725,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f599]) ).

fof(f15726,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f485]) ).

fof(f15727,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f492]) ).

fof(f15728,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2749]) ).

fof(f15729,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2768]) ).

fof(f15730,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3310]) ).

fof(f15731,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3332]) ).

fof(f15732,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f14362]) ).

fof(f15733,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f425]) ).

fof(f15734,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f478]) ).

fof(f15735,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3354]) ).

fof(f15736,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2711]) ).

fof(f15737,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f340]) ).

fof(f15738,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f350]) ).

fof(f15739,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f380]) ).

fof(f15740,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f390]) ).

fof(f15741,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f290]) ).

fof(f15742,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f293]) ).

fof(f15743,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f311]) ).

fof(f15744,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2692]) ).

fof(f15745,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2730]) ).

fof(f15746,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f345]) ).

fof(f15747,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f355]) ).

fof(f15748,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f385]) ).

fof(f15749,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f395]) ).

fof(f15750,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f281]) ).

fof(f15751,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f283]) ).

fof(f15752,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f315]) ).

fof(f15753,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f360]) ).

fof(f15754,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f365]) ).

fof(f15755,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f370]) ).

fof(f15756,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f375]) ).

fof(f15757,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f330]) ).

fof(f15758,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f335]) ).

fof(f15759,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f307]) ).

fof(f15760,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,f1(ct,f11(X3,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1147]) ).

fof(f15761,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,f1(ct,f11(X3,intersection_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f4388]) ).

fof(f15762,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X4,X5,ct),top_of_basis(X6))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X4,X5,ct,f11(X6,interior(X4,X5,ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f12220]) ).

fof(f15763,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f2(ct,X4))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f7082]) ).

fof(f15764,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2451]) ).

fof(f15765,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2452]) ).

fof(f15766,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f1(ct,f11(X4,union_of_members(ct))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f2339]) ).

fof(f15767,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_sets(cx,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3473]) ).

fof(f15768,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3475]) ).

fof(f15769,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f11979]) ).

fof(f15770,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f3488]) ).

fof(f15771,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f4364]) ).

fof(f15772,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X4,union_of_members(ct))),top_of_basis(X3))
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,f1(ct,f11(X4,union_of_members(ct)))))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f6683]) ).

fof(f15773,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(ct,X4),top_of_basis(X3))
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,f2(ct,X4)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1159]) ).

fof(f15774,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f6698]) ).

fof(f15775,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f4399]) ).

fof(f15776,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,union_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f1083]) ).

fof(f15777,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),cx),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f274]) ).

fof(f15778,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f275]) ).

fof(f15779,definition,
    ! [X0,X1,X2,X3] :
      ( sQ774_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
        | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ774_spl])],[split_symbol_definition]) ).

fof(f15780,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ774_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,f11(X3,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f15779]) ).

fof(f15782,plain,
    ( sQ317_spl
    | sQ774_spl ),
    inference(split_clause,[status(thm)],[f15774,f15779,f6885]) ).

fof(f15783,plain,
    ( sQ88_spl
    | sQ774_spl ),
    inference(split_clause,[status(thm)],[f15775,f15779,f4436]) ).

fof(f15784,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X3,cx,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15273,f201]) ).

fof(f15785,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subset_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X4)
      | ~ element_of_set(X3,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))
      | ~ subset_sets(X4,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X3,interior(X4,cx,ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15273,f184]) ).

fof(f15787,definition,
    ! [X0,X1,X2,X3] :
      ( sQ775_spl
    <=> ( ~ element_of_set(X3,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))
        | neighborhood(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X3,cx,ct)
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ775_spl])],[split_symbol_definition]) ).

fof(f15788,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ775_spl
      | ~ element_of_set(X3,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))
      | neighborhood(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X3,cx,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f15787]) ).

fof(f15790,plain,
    ( ~ sQ13_spl
    | sQ775_spl ),
    inference(split_clause,[status(thm)],[f15784,f15787,f1367]) ).

fof(f15791,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ776_spl
    <=> ( ~ subset_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X4)
        | ~ element_of_set(X3,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))
        | ~ subset_sets(X4,cx)
        | element_of_set(X3,interior(X4,cx,ct))
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ776_spl])],[split_symbol_definition]) ).

fof(f15792,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ776_spl
      | ~ subset_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),X4)
      | ~ element_of_set(X3,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))
      | ~ subset_sets(X4,cx)
      | element_of_set(X3,interior(X4,cx,ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f15791]) ).

fof(f15794,plain,
    ( ~ sQ13_spl
    | sQ776_spl ),
    inference(split_clause,[status(thm)],[f15785,f15791,f1367]) ).

fof(f15795,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),top_of_basis(X4))
      | element_of_set(f11(X4,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0))),union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f15276,f165]) ).

fof(f15796,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3)))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f15279,f15276]) ).

fof(f15797,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(duplicate_literals_removal,[status(thm)],[f15796]) ).

fof(f15798,plain,
    ! [X0,X1,X2,X3] :
      ( ~ disjoint_s(X3,f16(f20(cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | ~ neighborhood(X3,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct)
      | limit_point(f20(cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f15299,f9569]) ).

fof(f15799,plain,
    ! [X0,X1,X2,X3] :
      ( open(f16(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct),cx,ct)
      | limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f15299,f197]) ).

fof(f15800,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(cx,ct)
      | limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f15299,f195]) ).

fof(f15801,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f16(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f15299,f199]) ).

fof(f15802,definition,
    ! [X0,X1,X2,X3] :
      ( sQ777_spl
    <=> ( ~ disjoint_s(X3,f16(f20(cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
        | ~ neighborhood(X3,f19(cx,ct),cx,ct)
        | limit_point(f20(cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
        | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ777_spl])],[split_symbol_definition]) ).

fof(f15803,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ777_spl
      | ~ disjoint_s(X3,f16(f20(cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | ~ neighborhood(X3,f19(cx,ct),cx,ct)
      | limit_point(f20(cx,ct),f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f15802]) ).

fof(f15805,plain,
    ( sQ0_spl
    | sQ777_spl ),
    inference(split_clause,[status(thm)],[f15798,f15802,f1093]) ).

fof(f15806,definition,
    ! [X0,X1,X2,X3] :
      ( sQ778_spl
    <=> ( limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
        | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ778_spl])],[split_symbol_definition]) ).

fof(f15807,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ778_spl
      | limit_point(X3,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct)
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f15806]) ).

fof(f15809,plain,
    ( sQ13_spl
    | sQ778_spl ),
    inference(split_clause,[status(thm)],[f15800,f15806,f1367]) ).

fof(f15810,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))))
      | ~ subset_sets(f14(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct,X3),X0)
      | element_of_set(X4,interior(f14(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct,X3),X0,X1))
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2))
      | element_of_set(X3,closure(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f15300,f12206]) ).

fof(f15811,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))))
      | ~ subset_sets(f14(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct,X3),X0)
      | element_of_set(X4,interior(f14(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct,X3),X0,X1))
      | element_of_set(X3,closure(f13(cx,X0,X1,f11(X2,interior(cx,X0,X1))),cx,ct))
      | element_of_collection(interior(cx,X0,X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f15810]) ).

fof(f15812,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_set(f11(X3,interior(X0,X1,X2)),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12221,f13997]) ).

fof(f15813,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),top_of_basis(X4))
      | element_of_set(f11(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2)))),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12221,f165]) ).

fof(f15814,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,interior(X0,X1,X2)),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f15812]) ).

fof(f15815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12224,f12221]) ).

fof(f15816,plain,
    ! [X0,X1,X2,X3,X4] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X4,intersection_of_members(X2)),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12224,f12205]) ).

fof(f15817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f15815]) ).

fof(f15818,plain,
    ! [X0,X1,X2,X3,X4] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X4,intersection_of_members(X2)),X1,X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f15816]) ).

fof(f15819,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2691,f15272]) ).

fof(f15820,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2691,f282]) ).

fof(f15821,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2691,f284]) ).

fof(f15822,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2691,f294]) ).

fof(f15823,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2691,f12215]) ).

fof(f15824,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2691,f312]) ).

fof(f15825,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2691,f316]) ).

fof(f15826,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2691,f331]) ).

fof(f15827,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2691,f336]) ).

fof(f15828,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2691,f277]) ).

fof(f15829,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2691,f278]) ).

fof(f15830,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2691,f276]) ).

fof(f15831,plain,
    open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f2691,f3035]) ).

fof(f15832,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2691,f308]) ).

fof(f15833,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2691,f1148]) ).

fof(f15834,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2691,f116]) ).

fof(f15835,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2691,f4407]) ).

fof(f15836,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2691,f4396]) ).

fof(f15837,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f2691,f3199]) ).

fof(f15838,definition,
    ! [X1] :
      ( sQ779_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ779_spl])],[split_symbol_definition]) ).

fof(f15839,plain,
    ! [X0] :
      ( ~ sQ779_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f15838]) ).

fof(f15841,plain,
    ( sQ779_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f15835,f7936,f15838]) ).

fof(f15842,plain,
    ( sQ779_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f15836,f4709,f15838]) ).

fof(f15843,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2673,f15272]) ).

fof(f15844,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2673,f282]) ).

fof(f15845,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2673,f284]) ).

fof(f15846,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2673,f294]) ).

fof(f15847,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2673,f12215]) ).

fof(f15848,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2673,f312]) ).

fof(f15849,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2673,f316]) ).

fof(f15850,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2673,f331]) ).

fof(f15851,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2673,f336]) ).

fof(f15852,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2673,f277]) ).

fof(f15853,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2673,f278]) ).

fof(f15854,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2673,f276]) ).

fof(f15855,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f2673,f3035]) ).

fof(f15856,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2673,f308]) ).

fof(f15857,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2673,f1148]) ).

fof(f15858,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2673,f116]) ).

fof(f15859,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2673,f4407]) ).

fof(f15860,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2673,f4396]) ).

fof(f15861,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f2673,f3199]) ).

fof(f15862,definition,
    ! [X1] :
      ( sQ780_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ780_spl])],[split_symbol_definition]) ).

fof(f15863,plain,
    ! [X0] :
      ( ~ sQ780_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f15862]) ).

fof(f15865,plain,
    ( sQ780_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f15859,f7936,f15862]) ).

fof(f15866,plain,
    ( sQ780_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f15860,f4709,f15862]) ).

fof(f15867,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2672,f15272]) ).

fof(f15868,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2672,f282]) ).

fof(f15869,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2672,f284]) ).

fof(f15870,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2672,f294]) ).

fof(f15871,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2672,f12215]) ).

fof(f15872,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2672,f312]) ).

fof(f15873,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2672,f316]) ).

fof(f15874,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2672,f331]) ).

fof(f15875,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2672,f336]) ).

fof(f15876,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2672,f277]) ).

fof(f15877,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2672,f278]) ).

fof(f15878,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2672,f276]) ).

fof(f15879,plain,
    open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f2672,f3035]) ).

fof(f15880,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2672,f308]) ).

fof(f15881,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2672,f1148]) ).

fof(f15882,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2672,f116]) ).

fof(f15883,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2672,f4407]) ).

fof(f15884,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2672,f4396]) ).

fof(f15885,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    inference(resolution,[status(thm)],[f2672,f3199]) ).

fof(f15886,definition,
    ! [X1] :
      ( sQ781_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ781_spl])],[split_symbol_definition]) ).

fof(f15887,plain,
    ! [X0] :
      ( ~ sQ781_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))) ),
    inference(component_clause,[status(thm)],[f15886]) ).

fof(f15889,plain,
    ( sQ781_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f15883,f7936,f15886]) ).

fof(f15890,plain,
    ( sQ781_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f15884,f4709,f15886]) ).

fof(f15891,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2654,f15272]) ).

fof(f15892,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2654,f282]) ).

fof(f15893,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2654,f284]) ).

fof(f15894,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2654,f294]) ).

fof(f15895,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2654,f12215]) ).

fof(f15896,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2654,f312]) ).

fof(f15897,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2654,f316]) ).

fof(f15898,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2654,f331]) ).

fof(f15899,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2654,f336]) ).

fof(f15900,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2654,f277]) ).

fof(f15901,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2654,f278]) ).

fof(f15902,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2654,f276]) ).

fof(f15903,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f2654,f3035]) ).

fof(f15904,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2654,f308]) ).

fof(f15905,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2654,f1148]) ).

fof(f15906,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2654,f116]) ).

fof(f15907,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2654,f4407]) ).

fof(f15908,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2654,f4396]) ).

fof(f15909,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f2654,f3199]) ).

fof(f15910,definition,
    ! [X1] :
      ( sQ782_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ782_spl])],[split_symbol_definition]) ).

fof(f15911,plain,
    ! [X0] :
      ( ~ sQ782_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f15910]) ).

fof(f15913,plain,
    ( sQ782_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f15907,f7936,f15910]) ).

fof(f15914,plain,
    ( sQ782_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f15908,f4709,f15910]) ).

fof(f15915,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2653,f15272]) ).

fof(f15916,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2653,f282]) ).

fof(f15917,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2653,f284]) ).

fof(f15918,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2653,f294]) ).

fof(f15919,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2653,f12215]) ).

fof(f15920,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2653,f312]) ).

fof(f15921,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2653,f316]) ).

fof(f15922,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2653,f331]) ).

fof(f15923,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2653,f336]) ).

fof(f15924,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2653,f277]) ).

fof(f15925,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f2653,f278]) ).

fof(f15926,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2653,f276]) ).

fof(f15927,plain,
    open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f2653,f3035]) ).

fof(f15928,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2653,f308]) ).

fof(f15929,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2653,f1148]) ).

fof(f15930,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2653,f116]) ).

fof(f15931,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2653,f4407]) ).

fof(f15932,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2653,f4396]) ).

fof(f15933,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f2653,f3199]) ).

fof(f15934,definition,
    ! [X1] :
      ( sQ783_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ783_spl])],[split_symbol_definition]) ).

fof(f15935,plain,
    ! [X0] :
      ( ~ sQ783_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f15934]) ).

fof(f15937,plain,
    ( sQ783_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f15931,f7936,f15934]) ).

fof(f15938,plain,
    ( sQ783_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f15932,f4709,f15934]) ).

fof(f15939,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2635,f15272]) ).

fof(f15940,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2635,f282]) ).

fof(f15941,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2635,f284]) ).

fof(f15942,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2635,f294]) ).

fof(f15943,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2635,f12215]) ).

fof(f15944,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2635,f312]) ).

fof(f15945,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2635,f316]) ).

fof(f15946,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2635,f331]) ).

fof(f15947,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2635,f336]) ).

fof(f15948,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2635,f277]) ).

fof(f15949,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2635,f278]) ).

fof(f15950,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2635,f276]) ).

fof(f15951,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2635,f3035]) ).

fof(f15952,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2635,f308]) ).

fof(f15953,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2635,f1148]) ).

fof(f15954,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2635,f116]) ).

fof(f15955,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2635,f4407]) ).

fof(f15956,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2635,f4396]) ).

fof(f15957,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f2635,f3199]) ).

fof(f15958,definition,
    ! [X1] :
      ( sQ784_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ784_spl])],[split_symbol_definition]) ).

fof(f15959,plain,
    ! [X0] :
      ( ~ sQ784_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f15958]) ).

fof(f15961,plain,
    ( sQ784_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f15955,f7936,f15958]) ).

fof(f15962,plain,
    ( sQ784_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f15956,f4709,f15958]) ).

fof(f15963,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2)),ct)
      | ~ element_of_collection(f2(ct,X2),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4077]) ).

fof(f15964,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X2,union_of_members(ct))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4078]) ).

fof(f15965,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4079]) ).

fof(f15966,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4080]) ).

fof(f15967,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),f1(ct,f11(X2,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X2,union_of_members(ct))),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4128]) ).

fof(f15968,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),f2(ct,X2)),ct)
      | ~ element_of_collection(f2(ct,X2),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4129]) ).

fof(f15969,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4148]) ).

fof(f15970,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4149]) ).

fof(f15971,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f13569]) ).

fof(f15972,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f13548]) ).

fof(f15973,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f8555]) ).

fof(f15974,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f8542]) ).

fof(f15975,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f8581]) ).

fof(f15976,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f8568]) ).

fof(f15977,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4105]) ).

fof(f15978,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4106]) ).

fof(f15979,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f1(ct,f11(X1,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4153]) ).

fof(f15980,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f2(ct,X1)),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4183]) ).

fof(f15981,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)),ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4169]) ).

fof(f15982,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)),ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4170]) ).

fof(f15983,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)),ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4176]) ).

fof(f15984,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)),ct)
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4177]) ).

fof(f15985,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4184]) ).

fof(f15986,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4185]) ).

fof(f15987,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,f1(ct,f11(X1,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4189]) ).

fof(f15988,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)),ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4206]) ).

fof(f15989,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)),ct)
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4207]) ).

fof(f15990,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)),ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4213]) ).

fof(f15991,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)),ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4219]) ).

fof(f15992,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4220]) ).

fof(f15993,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14352,f4221]) ).

fof(f15994,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_sets(X1,X2),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_sets(X1,X2)),X1,X2),ct)
      | ~ element_of_collection(X2,ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(f11(X0,intersection_of_sets(X1,X2)),cx) ),
    inference(resolution,[status(thm)],[f14352,f165]) ).

fof(f15995,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(f6(cx,ct,f11(X2,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15963,f7114]) ).

fof(f15996,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(f6(cx,ct,f11(X2,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15964,f7114]) ).

fof(f15997,definition,
    ! [X0,X1] :
      ( sQ785_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),cx),ct)
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ785_spl])],[split_symbol_definition]) ).

fof(f15998,plain,
    ! [X0,X1] :
      ( ~ sQ785_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),cx),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f15997]) ).

fof(f16000,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ785_spl ),
    inference(split_clause,[status(thm)],[f15965,f15997,f2322,f1114]) ).

fof(f16001,definition,
    ! [X0,X1] :
      ( sQ786_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),empty_set),ct)
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ786_spl])],[split_symbol_definition]) ).

fof(f16002,plain,
    ! [X0,X1] :
      ( ~ sQ786_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),empty_set),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16001]) ).

fof(f16004,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ786_spl ),
    inference(split_clause,[status(thm)],[f15966,f16001,f2319,f1114]) ).

fof(f16005,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(f6(cx,ct,f11(X2,intersection_of_members(ct)),f2(ct,X0),f1(ct,f11(X1,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15967,f7114]) ).

fof(f16006,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(f6(cx,ct,f11(X2,intersection_of_members(ct)),f2(ct,X0),f2(ct,X1)),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15968,f7114]) ).

fof(f16007,definition,
    ! [X0,X1] :
      ( sQ787_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),cx),ct)
        | ~ element_of_collection(f2(ct,X1),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ787_spl])],[split_symbol_definition]) ).

fof(f16008,plain,
    ! [X0,X1] :
      ( ~ sQ787_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),cx),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16007]) ).

fof(f16010,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ787_spl ),
    inference(split_clause,[status(thm)],[f15969,f16007,f2322,f1114]) ).

fof(f16011,definition,
    ! [X0,X1] :
      ( sQ788_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),empty_set),ct)
        | ~ element_of_collection(f2(ct,X1),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ788_spl])],[split_symbol_definition]) ).

fof(f16012,plain,
    ! [X0,X1] :
      ( ~ sQ788_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),empty_set),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16011]) ).

fof(f16014,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ788_spl ),
    inference(split_clause,[status(thm)],[f15970,f16011,f2319,f1114]) ).

fof(f16015,definition,
    ! [X0] :
      ( sQ789_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ789_spl])],[split_symbol_definition]) ).

fof(f16016,plain,
    ! [X0] :
      ( ~ sQ789_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16015]) ).

fof(f16018,definition,
    ( sQ790_spl
  <=> element_of_collection(intersection_of_sets(cx,cx),ct) ),
    introduced(definition,[new_symbols(definition,[sQ790_spl])],[split_symbol_definition]) ).

fof(f16020,plain,
    ( sQ790_spl
    | ~ element_of_collection(intersection_of_sets(cx,cx),ct) ),
    inference(component_clause,[status(thm)],[f16018]) ).

fof(f16021,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ790_spl
    | sQ789_spl ),
    inference(split_clause,[status(thm)],[f15971,f16015,f16018,f2319,f1114]) ).

fof(f16022,definition,
    ! [X0] :
      ( sQ791_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ791_spl])],[split_symbol_definition]) ).

fof(f16023,plain,
    ! [X0] :
      ( ~ sQ791_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16022]) ).

fof(f16025,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ790_spl
    | sQ791_spl ),
    inference(split_clause,[status(thm)],[f15972,f16022,f16018,f2322,f1114]) ).

fof(f16026,definition,
    ! [X0] :
      ( sQ792_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ792_spl])],[split_symbol_definition]) ).

fof(f16027,plain,
    ! [X0] :
      ( ~ sQ792_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16026]) ).

fof(f16029,definition,
    ( sQ793_spl
  <=> element_of_collection(intersection_of_sets(cx,empty_set),ct) ),
    introduced(definition,[new_symbols(definition,[sQ793_spl])],[split_symbol_definition]) ).

fof(f16031,plain,
    ( sQ793_spl
    | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct) ),
    inference(component_clause,[status(thm)],[f16029]) ).

fof(f16032,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ793_spl
    | sQ792_spl ),
    inference(split_clause,[status(thm)],[f15973,f16026,f16029,f2319,f1114]) ).

fof(f16033,definition,
    ! [X0] :
      ( sQ794_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ794_spl])],[split_symbol_definition]) ).

fof(f16034,plain,
    ! [X0] :
      ( ~ sQ794_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16033]) ).

fof(f16036,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ793_spl
    | sQ794_spl ),
    inference(split_clause,[status(thm)],[f15974,f16033,f16029,f2322,f1114]) ).

fof(f16037,definition,
    ! [X0] :
      ( sQ795_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ795_spl])],[split_symbol_definition]) ).

fof(f16038,plain,
    ! [X0] :
      ( ~ sQ795_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16037]) ).

fof(f16040,definition,
    ( sQ796_spl
  <=> element_of_collection(intersection_of_sets(empty_set,cx),ct) ),
    introduced(definition,[new_symbols(definition,[sQ796_spl])],[split_symbol_definition]) ).

fof(f16042,plain,
    ( sQ796_spl
    | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct) ),
    inference(component_clause,[status(thm)],[f16040]) ).

fof(f16043,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ796_spl
    | sQ795_spl ),
    inference(split_clause,[status(thm)],[f15975,f16037,f16040,f2319,f1114]) ).

fof(f16044,definition,
    ! [X0] :
      ( sQ797_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ797_spl])],[split_symbol_definition]) ).

fof(f16045,plain,
    ! [X0] :
      ( ~ sQ797_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16044]) ).

fof(f16047,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ796_spl
    | sQ797_spl ),
    inference(split_clause,[status(thm)],[f15976,f16044,f16040,f2322,f1114]) ).

fof(f16048,definition,
    ! [X0] :
      ( sQ798_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ798_spl])],[split_symbol_definition]) ).

fof(f16049,plain,
    ! [X0] :
      ( ~ sQ798_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16048]) ).

fof(f16051,definition,
    ( sQ799_spl
  <=> element_of_collection(intersection_of_sets(empty_set,empty_set),ct) ),
    introduced(definition,[new_symbols(definition,[sQ799_spl])],[split_symbol_definition]) ).

fof(f16053,plain,
    ( sQ799_spl
    | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct) ),
    inference(component_clause,[status(thm)],[f16051]) ).

fof(f16054,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ799_spl
    | sQ798_spl ),
    inference(split_clause,[status(thm)],[f15977,f16048,f16051,f2322,f1114]) ).

fof(f16055,definition,
    ! [X0] :
      ( sQ800_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ800_spl])],[split_symbol_definition]) ).

fof(f16056,plain,
    ! [X0] :
      ( ~ sQ800_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16055]) ).

fof(f16058,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ799_spl
    | sQ800_spl ),
    inference(split_clause,[status(thm)],[f15978,f16055,f16051,f2319,f1114]) ).

fof(f16059,definition,
    ! [X0,X1] :
      ( sQ801_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f1(ct,f11(X1,union_of_members(ct)))),ct)
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ801_spl])],[split_symbol_definition]) ).

fof(f16060,plain,
    ! [X0,X1] :
      ( ~ sQ801_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f1(ct,f11(X1,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16059]) ).

fof(f16062,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ801_spl ),
    inference(split_clause,[status(thm)],[f15979,f16059,f2322,f1114]) ).

fof(f16063,definition,
    ! [X0,X1] :
      ( sQ802_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f2(ct,X1)),ct)
        | ~ element_of_collection(f2(ct,X1),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ802_spl])],[split_symbol_definition]) ).

fof(f16064,plain,
    ! [X0,X1] :
      ( ~ sQ802_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f2(ct,X1)),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16063]) ).

fof(f16066,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ802_spl ),
    inference(split_clause,[status(thm)],[f15980,f16063,f2322,f1114]) ).

fof(f16067,definition,
    ! [X0] :
      ( sQ803_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ803_spl])],[split_symbol_definition]) ).

fof(f16068,plain,
    ! [X0] :
      ( ~ sQ803_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16067]) ).

fof(f16070,plain,
    ( ~ sQ5_spl
    | ~ sQ799_spl
    | ~ sQ15_spl
    | sQ803_spl ),
    inference(split_clause,[status(thm)],[f15981,f16067,f2322,f16051,f1114]) ).

fof(f16071,definition,
    ! [X0] :
      ( sQ804_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ804_spl])],[split_symbol_definition]) ).

fof(f16072,plain,
    ! [X0] :
      ( ~ sQ804_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16071]) ).

fof(f16074,plain,
    ( ~ sQ5_spl
    | ~ sQ796_spl
    | ~ sQ15_spl
    | sQ804_spl ),
    inference(split_clause,[status(thm)],[f15982,f16071,f2322,f16040,f1114]) ).

fof(f16075,definition,
    ! [X0] :
      ( sQ805_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ805_spl])],[split_symbol_definition]) ).

fof(f16076,plain,
    ! [X0] :
      ( ~ sQ805_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16075]) ).

fof(f16078,plain,
    ( ~ sQ5_spl
    | ~ sQ790_spl
    | ~ sQ15_spl
    | sQ805_spl ),
    inference(split_clause,[status(thm)],[f15983,f16075,f2322,f16018,f1114]) ).

fof(f16079,definition,
    ! [X0] :
      ( sQ806_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition]) ).

fof(f16080,plain,
    ! [X0] :
      ( ~ sQ806_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16079]) ).

fof(f16082,plain,
    ( ~ sQ5_spl
    | ~ sQ793_spl
    | ~ sQ15_spl
    | sQ806_spl ),
    inference(split_clause,[status(thm)],[f15984,f16079,f2322,f16029,f1114]) ).

fof(f16083,definition,
    ! [X0] :
      ( sQ807_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition]) ).

fof(f16084,plain,
    ! [X0] :
      ( ~ sQ807_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16083]) ).

fof(f16086,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ807_spl ),
    inference(split_clause,[status(thm)],[f15985,f16083,f2322,f1114]) ).

fof(f16087,definition,
    ! [X0] :
      ( sQ808_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ808_spl])],[split_symbol_definition]) ).

fof(f16088,plain,
    ! [X0] :
      ( ~ sQ808_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16087]) ).

fof(f16090,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ15_spl
    | sQ808_spl ),
    inference(split_clause,[status(thm)],[f15986,f16087,f2322,f2319,f1114]) ).

fof(f16091,definition,
    ! [X0,X1] :
      ( sQ809_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,f1(ct,f11(X1,union_of_members(ct)))),ct)
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ809_spl])],[split_symbol_definition]) ).

fof(f16092,plain,
    ! [X0,X1] :
      ( ~ sQ809_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,f1(ct,f11(X1,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16091]) ).

fof(f16094,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ809_spl ),
    inference(split_clause,[status(thm)],[f15987,f16091,f2319,f1114]) ).

fof(f16095,definition,
    ! [X0] :
      ( sQ810_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition]) ).

fof(f16096,plain,
    ! [X0] :
      ( ~ sQ810_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16095]) ).

fof(f16098,plain,
    ( ~ sQ5_spl
    | ~ sQ790_spl
    | ~ sQ14_spl
    | sQ810_spl ),
    inference(split_clause,[status(thm)],[f15988,f16095,f2319,f16018,f1114]) ).

fof(f16099,definition,
    ! [X0] :
      ( sQ811_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ811_spl])],[split_symbol_definition]) ).

fof(f16100,plain,
    ! [X0] :
      ( ~ sQ811_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16099]) ).

fof(f16102,plain,
    ( ~ sQ5_spl
    | ~ sQ793_spl
    | ~ sQ14_spl
    | sQ811_spl ),
    inference(split_clause,[status(thm)],[f15989,f16099,f2319,f16029,f1114]) ).

fof(f16103,definition,
    ! [X0] :
      ( sQ812_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ812_spl])],[split_symbol_definition]) ).

fof(f16104,plain,
    ! [X0] :
      ( ~ sQ812_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16103]) ).

fof(f16106,plain,
    ( ~ sQ5_spl
    | ~ sQ796_spl
    | ~ sQ14_spl
    | sQ812_spl ),
    inference(split_clause,[status(thm)],[f15990,f16103,f2319,f16040,f1114]) ).

fof(f16107,definition,
    ! [X0] :
      ( sQ813_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ813_spl])],[split_symbol_definition]) ).

fof(f16108,plain,
    ! [X0] :
      ( ~ sQ813_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16107]) ).

fof(f16110,plain,
    ( ~ sQ5_spl
    | ~ sQ799_spl
    | ~ sQ14_spl
    | sQ813_spl ),
    inference(split_clause,[status(thm)],[f15991,f16107,f2319,f16051,f1114]) ).

fof(f16111,definition,
    ! [X0] :
      ( sQ814_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ814_spl])],[split_symbol_definition]) ).

fof(f16112,plain,
    ! [X0] :
      ( ~ sQ814_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16111]) ).

fof(f16114,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ14_spl
    | sQ814_spl ),
    inference(split_clause,[status(thm)],[f15992,f16111,f2319,f2322,f1114]) ).

fof(f16115,definition,
    ! [X0] :
      ( sQ815_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ815_spl])],[split_symbol_definition]) ).

fof(f16116,plain,
    ! [X0] :
      ( ~ sQ815_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16115]) ).

fof(f16118,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ815_spl ),
    inference(split_clause,[status(thm)],[f15993,f16115,f2319,f1114]) ).

fof(f16119,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ6_spl
      | neighborhood(f17(cx,ct,f11(X0,intersection_of_members(ct)),f7(cx,ct)),f11(X0,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f7(cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1118,f4356]) ).

fof(f16120,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ6_spl
      | neighborhood(f18(cx,ct,f11(X0,intersection_of_members(ct)),f7(cx,ct)),f7(cx,ct),cx,ct)
      | eq_p(f11(X0,intersection_of_members(ct)),f7(cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1118,f4357]) ).

fof(f16121,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ6_spl
      | disjoint_s(f17(cx,ct,f11(X0,intersection_of_members(ct)),f7(cx,ct)),f18(cx,ct,f11(X0,intersection_of_members(ct)),f7(cx,ct)))
      | eq_p(f11(X0,intersection_of_members(ct)),f7(cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1118,f4358]) ).

fof(f16122,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ6_spl
      | disjoint_s(f17(cx,ct,f7(cx,ct),X0),f18(cx,ct,f7(cx,ct),X0))
      | eq_p(f7(cx,ct),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1118,f2475]) ).

fof(f16123,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ6_spl
      | neighborhood(f18(cx,ct,f7(cx,ct),X0),X0,cx,ct)
      | eq_p(f7(cx,ct),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1118,f2476]) ).

fof(f16124,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ6_spl
      | neighborhood(f17(cx,ct,f7(cx,ct),X0),f7(cx,ct),cx,ct)
      | eq_p(f7(cx,ct),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1118,f2477]) ).

fof(f16125,plain,
    ( ~ sQ383_spl
    | ~ sQ6_spl
    | neighborhood(cx,f7(cx,ct),cx,ct) ),
    inference(resolution,[status(thm)],[f1118,f9378]) ).

fof(f16126,plain,
    ( ~ sQ6_spl
    | element_of_set(f7(cx,ct),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1118,f305]) ).

fof(f16127,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f8(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f1123,f15272]) ).

fof(f16128,plain,
    ( ~ sQ7_spl
    | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f8(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1123,f282]) ).

fof(f16129,plain,
    ( ~ sQ7_spl
    | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f8(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1123,f284]) ).

fof(f16130,plain,
    ( ~ sQ7_spl
    | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f8(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1123,f294]) ).

fof(f16131,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f8(cx,ct)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f1123,f12215]) ).

fof(f16132,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f8(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1123,f312]) ).

fof(f16133,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f8(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1123,f316]) ).

fof(f16134,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f8(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1123,f331]) ).

fof(f16135,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f8(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1123,f336]) ).

fof(f16136,plain,
    ( ~ sQ7_spl
    | element_of_collection(intersection_of_sets(empty_set,f8(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1123,f277]) ).

fof(f16137,plain,
    ( ~ sQ7_spl
    | element_of_collection(intersection_of_sets(cx,f8(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1123,f278]) ).

fof(f16138,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(f8(cx,ct),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f1123,f276]) ).

fof(f16139,plain,
    ( ~ sQ7_spl
    | open(f8(cx,ct),cx,ct) ),
    inference(resolution,[status(thm)],[f1123,f3035]) ).

fof(f16140,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(f2(ct,X0),f8(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1123,f308]) ).

fof(f16141,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f8(cx,ct)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1123,f1148]) ).

fof(f16142,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,f8(cx,ct))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1123,f116]) ).

fof(f16143,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(X1,f8(cx,ct))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1123,f4407]) ).

fof(f16144,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(X1,f8(cx,ct))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1123,f4396]) ).

fof(f16145,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f8(cx,ct)) ),
    inference(resolution,[status(thm)],[f1123,f3199]) ).

fof(f16146,definition,
    ! [X1] :
      ( sQ816_spl
    <=> element_of_set(X1,f8(cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ816_spl])],[split_symbol_definition]) ).

fof(f16147,plain,
    ! [X0] :
      ( ~ sQ816_spl
      | element_of_set(X0,f8(cx,ct)) ),
    inference(component_clause,[status(thm)],[f16146]) ).

fof(f16149,plain,
    ( ~ sQ7_spl
    | sQ816_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16143,f7936,f16146,f1122]) ).

fof(f16150,plain,
    ( ~ sQ7_spl
    | sQ816_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16144,f4709,f16146,f1122]) ).

fof(f16151,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f9(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f1128,f15272]) ).

fof(f16152,plain,
    ( ~ sQ8_spl
    | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f9(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1128,f282]) ).

fof(f16153,plain,
    ( ~ sQ8_spl
    | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f9(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1128,f284]) ).

fof(f16154,plain,
    ( ~ sQ8_spl
    | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f9(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1128,f294]) ).

fof(f16155,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),f9(cx,ct)),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f1128,f12215]) ).

fof(f16156,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),f9(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1128,f312]) ).

fof(f16157,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),f9(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1128,f316]) ).

fof(f16158,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),f9(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1128,f331]) ).

fof(f16159,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),f9(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1128,f336]) ).

fof(f16160,plain,
    ( ~ sQ8_spl
    | element_of_collection(intersection_of_sets(empty_set,f9(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1128,f277]) ).

fof(f16161,plain,
    ( ~ sQ8_spl
    | element_of_collection(intersection_of_sets(cx,f9(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f1128,f278]) ).

fof(f16162,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(f9(cx,ct),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f1128,f276]) ).

fof(f16163,plain,
    ( ~ sQ8_spl
    | open(f9(cx,ct),cx,ct) ),
    inference(resolution,[status(thm)],[f1128,f3035]) ).

fof(f16164,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(f2(ct,X0),f9(cx,ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1128,f308]) ).

fof(f16165,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f9(cx,ct)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1128,f1148]) ).

fof(f16166,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ element_of_set(X0,f9(cx,ct))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f1128,f116]) ).

fof(f16167,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | element_of_set(X1,f9(cx,ct))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1128,f4407]) ).

fof(f16168,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | element_of_set(X1,f9(cx,ct))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1128,f4396]) ).

fof(f16169,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f9(cx,ct)) ),
    inference(resolution,[status(thm)],[f1128,f3199]) ).

fof(f16170,definition,
    ! [X1] :
      ( sQ817_spl
    <=> element_of_set(X1,f9(cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ817_spl])],[split_symbol_definition]) ).

fof(f16171,plain,
    ! [X0] :
      ( ~ sQ817_spl
      | element_of_set(X0,f9(cx,ct)) ),
    inference(component_clause,[status(thm)],[f16170]) ).

fof(f16173,plain,
    ( ~ sQ8_spl
    | sQ817_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16167,f7936,f16170,f1127]) ).

fof(f16174,plain,
    ( ~ sQ8_spl
    | sQ817_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16168,f4709,f16170,f1127]) ).

fof(f16175,plain,
    ( ~ sQ6_spl
    | element_of_collection(f1(ct,f7(cx,ct)),ct) ),
    inference(resolution,[status(thm)],[f16126,f114]) ).

fof(f16176,plain,
    ( ~ sQ6_spl
    | element_of_set(f7(cx,ct),f1(ct,f7(cx,ct))) ),
    inference(resolution,[status(thm)],[f16126,f113]) ).

fof(f16177,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,f8(cx,ct))
      | ~ topological_space(cx,ct)
      | neighborhood(f8(cx,ct),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f16139,f201]) ).

fof(f16178,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ subset_sets(f8(cx,ct),X1)
      | ~ element_of_set(X0,f8(cx,ct))
      | ~ subset_sets(X1,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f16139,f184]) ).

fof(f16180,definition,
    ! [X0] :
      ( sQ818_spl
    <=> ( ~ element_of_set(X0,f8(cx,ct))
        | neighborhood(f8(cx,ct),X0,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ818_spl])],[split_symbol_definition]) ).

fof(f16181,plain,
    ! [X0] :
      ( ~ sQ818_spl
      | ~ element_of_set(X0,f8(cx,ct))
      | neighborhood(f8(cx,ct),X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f16180]) ).

fof(f16183,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sQ818_spl ),
    inference(split_clause,[status(thm)],[f16177,f16180,f1367,f1122]) ).

fof(f16184,definition,
    ! [X0,X1] :
      ( sQ819_spl
    <=> ( ~ subset_sets(f8(cx,ct),X1)
        | ~ element_of_set(X0,f8(cx,ct))
        | ~ subset_sets(X1,cx)
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ819_spl])],[split_symbol_definition]) ).

fof(f16185,plain,
    ! [X0,X1] :
      ( ~ sQ819_spl
      | ~ subset_sets(f8(cx,ct),X1)
      | ~ element_of_set(X0,f8(cx,ct))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f16184]) ).

fof(f16187,plain,
    ( ~ sQ7_spl
    | ~ sQ13_spl
    | sQ819_spl ),
    inference(split_clause,[status(thm)],[f16178,f16184,f1367,f1122]) ).

fof(f16188,plain,
    ( sQ790_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16020,f288]) ).

fof(f16189,plain,
    sQ790_spl,
    inference(contradiction_clause,[status(thm)],[f16188]) ).

fof(f16190,plain,
    ( sQ793_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16031,f287]) ).

fof(f16191,plain,
    sQ793_spl,
    inference(contradiction_clause,[status(thm)],[f16190]) ).

fof(f16192,plain,
    ( sQ796_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16042,f280]) ).

fof(f16193,plain,
    sQ796_spl,
    inference(contradiction_clause,[status(thm)],[f16192]) ).

fof(f16194,plain,
    ( sQ799_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16053,f279]) ).

fof(f16195,plain,
    sQ799_spl,
    inference(contradiction_clause,[status(thm)],[f16194]) ).

fof(f16196,plain,
    ! [X0,X1] :
      ( ~ sQ785_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),cx),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15998,f7114]) ).

fof(f16197,plain,
    ! [X0,X1] :
      ( ~ sQ786_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),empty_set),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16002,f7114]) ).

fof(f16198,plain,
    ! [X0,X1] :
      ( ~ sQ787_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f2(ct,X0),cx),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16008,f7114]) ).

fof(f16199,plain,
    ! [X0,X1] :
      ( ~ sQ788_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f2(ct,X0),empty_set),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16012,f7114]) ).

fof(f16200,plain,
    ! [X0,X1] :
      ( ~ sQ801_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),cx,f1(ct,f11(X0,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16060,f7114]) ).

fof(f16201,plain,
    ! [X0,X1] :
      ( ~ sQ802_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),cx,f2(ct,X0)),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16064,f7114]) ).

fof(f16202,plain,
    ! [X0] :
      ( ~ sQ807_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16084,f7114]) ).

fof(f16203,plain,
    ! [X0] :
      ( ~ sQ808_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16088,f7114]) ).

fof(f16204,plain,
    ! [X0,X1] :
      ( ~ sQ809_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),empty_set,f1(ct,f11(X0,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16092,f7114]) ).

fof(f16205,plain,
    ! [X0] :
      ( ~ sQ814_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16112,f7114]) ).

fof(f16206,plain,
    ! [X0] :
      ( ~ sQ815_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16116,f7114]) ).

fof(f16207,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f1(ct,f11(X2,union_of_members(ct))),f2(ct,X0)),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15995,f1083]) ).

fof(f16208,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f1(ct,f11(X2,union_of_members(ct))),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15996,f1083]) ).

fof(f16209,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f2(ct,X2),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16005,f119]) ).

fof(f16210,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f6(cx,ct,f11(X1,intersection_of_members(ct)),f2(ct,X2),f2(ct,X0)),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16006,f119]) ).

fof(f16211,plain,
    ! [X0] :
      ( ~ sQ789_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16016,f7114]) ).

fof(f16212,plain,
    ! [X0] :
      ( ~ sQ791_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16023,f7114]) ).

fof(f16213,plain,
    ! [X0] :
      ( ~ sQ805_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16076,f7114]) ).

fof(f16214,plain,
    ! [X0] :
      ( ~ sQ810_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16096,f7114]) ).

fof(f16215,plain,
    ! [X0] :
      ( ~ sQ792_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16027,f7114]) ).

fof(f16216,plain,
    ! [X0] :
      ( ~ sQ794_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16034,f7114]) ).

fof(f16217,plain,
    ! [X0] :
      ( ~ sQ806_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16080,f7114]) ).

fof(f16218,plain,
    ! [X0] :
      ( ~ sQ811_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16100,f7114]) ).

fof(f16219,plain,
    ! [X0] :
      ( ~ sQ795_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16038,f7114]) ).

fof(f16220,plain,
    ! [X0] :
      ( ~ sQ797_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16045,f7114]) ).

fof(f16221,plain,
    ! [X0] :
      ( ~ sQ804_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16072,f7114]) ).

fof(f16222,plain,
    ! [X0] :
      ( ~ sQ812_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16104,f7114]) ).

fof(f16223,plain,
    ! [X0] :
      ( ~ sQ798_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16049,f7114]) ).

fof(f16224,plain,
    ! [X0] :
      ( ~ sQ800_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16056,f7114]) ).

fof(f16225,plain,
    ! [X0] :
      ( ~ sQ803_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16068,f7114]) ).

fof(f16226,plain,
    ! [X0] :
      ( ~ sQ813_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16108,f7114]) ).

fof(f16227,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X0,f6(cx,ct,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2))
      | ~ element_of_collection(X2,ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1115,f154]) ).

fof(f16228,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(f6(cx,ct,X0,X1,X2),ct)
      | ~ element_of_set(X0,intersection_of_sets(X1,X2))
      | ~ element_of_collection(X2,ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1115,f155]) ).

fof(f16230,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2634,f15272]) ).

fof(f16231,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2634,f282]) ).

fof(f16232,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2634,f284]) ).

fof(f16233,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2634,f294]) ).

fof(f16234,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2634,f12215]) ).

fof(f16235,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2634,f312]) ).

fof(f16236,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2634,f316]) ).

fof(f16237,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2634,f331]) ).

fof(f16238,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2634,f336]) ).

fof(f16239,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2634,f277]) ).

fof(f16240,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2634,f278]) ).

fof(f16241,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2634,f276]) ).

fof(f16242,plain,
    open(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2634,f3035]) ).

fof(f16243,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2634,f308]) ).

fof(f16244,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2634,f1148]) ).

fof(f16245,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2634,f116]) ).

fof(f16246,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2634,f4407]) ).

fof(f16247,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2634,f4396]) ).

fof(f16248,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f2634,f3199]) ).

fof(f16249,definition,
    ! [X1] :
      ( sQ820_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ820_spl])],[split_symbol_definition]) ).

fof(f16250,plain,
    ! [X0] :
      ( ~ sQ820_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f16249]) ).

fof(f16252,plain,
    ( sQ820_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16246,f7936,f16249]) ).

fof(f16253,plain,
    ( sQ820_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16247,f4709,f16249]) ).

fof(f16254,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2616,f15272]) ).

fof(f16255,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2616,f282]) ).

fof(f16256,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2616,f284]) ).

fof(f16257,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2616,f294]) ).

fof(f16258,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2616,f12215]) ).

fof(f16259,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2616,f312]) ).

fof(f16260,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2616,f316]) ).

fof(f16261,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2616,f331]) ).

fof(f16262,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2616,f336]) ).

fof(f16263,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2616,f277]) ).

fof(f16264,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2616,f278]) ).

fof(f16265,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2616,f276]) ).

fof(f16266,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2616,f3035]) ).

fof(f16267,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2616,f308]) ).

fof(f16268,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2616,f1148]) ).

fof(f16269,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2616,f116]) ).

fof(f16270,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2616,f4407]) ).

fof(f16271,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2616,f4396]) ).

fof(f16272,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f2616,f3199]) ).

fof(f16273,definition,
    ! [X1] :
      ( sQ821_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ821_spl])],[split_symbol_definition]) ).

fof(f16274,plain,
    ! [X0] :
      ( ~ sQ821_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f16273]) ).

fof(f16276,plain,
    ( sQ821_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16270,f7936,f16273]) ).

fof(f16277,plain,
    ( sQ821_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16271,f4709,f16273]) ).

fof(f16278,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2615,f15272]) ).

fof(f16279,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2615,f282]) ).

fof(f16280,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2615,f284]) ).

fof(f16281,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2615,f294]) ).

fof(f16282,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2615,f12215]) ).

fof(f16283,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2615,f312]) ).

fof(f16284,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2615,f316]) ).

fof(f16285,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2615,f331]) ).

fof(f16286,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2615,f336]) ).

fof(f16287,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2615,f277]) ).

fof(f16288,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f2615,f278]) ).

fof(f16289,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2615,f276]) ).

fof(f16290,plain,
    open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),cx,ct),
    inference(resolution,[status(thm)],[f2615,f3035]) ).

fof(f16291,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2615,f308]) ).

fof(f16292,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2615,f1148]) ).

fof(f16293,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2615,f116]) ).

fof(f16294,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2615,f4407]) ).

fof(f16295,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2615,f4396]) ).

fof(f16296,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    inference(resolution,[status(thm)],[f2615,f3199]) ).

fof(f16297,definition,
    ! [X1] :
      ( sQ822_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    introduced(definition,[new_symbols(definition,[sQ822_spl])],[split_symbol_definition]) ).

fof(f16298,plain,
    ! [X0] :
      ( ~ sQ822_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))) ),
    inference(component_clause,[status(thm)],[f16297]) ).

fof(f16300,plain,
    ( sQ822_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16294,f7936,f16297]) ).

fof(f16301,plain,
    ( sQ822_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16295,f4709,f16297]) ).

fof(f16302,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2597,f15272]) ).

fof(f16303,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2597,f282]) ).

fof(f16304,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2597,f284]) ).

fof(f16305,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2597,f294]) ).

fof(f16306,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2597,f12215]) ).

fof(f16307,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2597,f312]) ).

fof(f16308,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2597,f316]) ).

fof(f16309,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2597,f331]) ).

fof(f16310,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2597,f336]) ).

fof(f16311,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2597,f277]) ).

fof(f16312,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f2597,f278]) ).

fof(f16313,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2597,f276]) ).

fof(f16314,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2597,f3035]) ).

fof(f16315,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2597,f308]) ).

fof(f16316,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2597,f1148]) ).

fof(f16317,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2597,f116]) ).

fof(f16318,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2597,f4407]) ).

fof(f16319,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2597,f4396]) ).

fof(f16320,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f2597,f3199]) ).

fof(f16321,definition,
    ! [X1] :
      ( sQ823_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ823_spl])],[split_symbol_definition]) ).

fof(f16322,plain,
    ! [X0] :
      ( ~ sQ823_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))) ),
    inference(component_clause,[status(thm)],[f16321]) ).

fof(f16324,plain,
    ( sQ823_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16318,f7936,f16321]) ).

fof(f16325,plain,
    ( sQ823_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16319,f4709,f16321]) ).

fof(f16326,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2596,f15272]) ).

fof(f16327,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2596,f282]) ).

fof(f16328,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2596,f284]) ).

fof(f16329,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2596,f294]) ).

fof(f16330,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2596,f12215]) ).

fof(f16331,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2596,f312]) ).

fof(f16332,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2596,f316]) ).

fof(f16333,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2596,f331]) ).

fof(f16334,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2596,f336]) ).

fof(f16335,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2596,f277]) ).

fof(f16336,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f2596,f278]) ).

fof(f16337,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2596,f276]) ).

fof(f16338,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)),cx,ct),
    inference(resolution,[status(thm)],[f2596,f3035]) ).

fof(f16339,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2596,f308]) ).

fof(f16340,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2596,f1148]) ).

fof(f16341,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2596,f116]) ).

fof(f16342,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2596,f4407]) ).

fof(f16343,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2596,f4396]) ).

fof(f16344,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f2596,f3199]) ).

fof(f16345,definition,
    ! [X1] :
      ( sQ824_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ824_spl])],[split_symbol_definition]) ).

fof(f16346,plain,
    ! [X0] :
      ( ~ sQ824_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))) ),
    inference(component_clause,[status(thm)],[f16345]) ).

fof(f16348,plain,
    ( sQ824_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16342,f7936,f16345]) ).

fof(f16349,plain,
    ( sQ824_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16343,f4709,f16345]) ).

fof(f16350,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2567,f15272]) ).

fof(f16351,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2567,f282]) ).

fof(f16352,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2567,f284]) ).

fof(f16353,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2567,f294]) ).

fof(f16354,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2567,f12215]) ).

fof(f16355,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2567,f312]) ).

fof(f16356,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2567,f316]) ).

fof(f16357,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2567,f331]) ).

fof(f16358,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2567,f336]) ).

fof(f16359,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2567,f277]) ).

fof(f16360,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f2567,f278]) ).

fof(f16361,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2567,f276]) ).

fof(f16362,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)),cx,ct),
    inference(resolution,[status(thm)],[f2567,f3035]) ).

fof(f16363,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2567,f308]) ).

fof(f16364,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2567,f1148]) ).

fof(f16365,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2567,f116]) ).

fof(f16366,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2567,f4407]) ).

fof(f16367,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2567,f4396]) ).

fof(f16368,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f2567,f3199]) ).

fof(f16369,definition,
    ! [X1] :
      ( sQ825_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))) ),
    introduced(definition,[new_symbols(definition,[sQ825_spl])],[split_symbol_definition]) ).

fof(f16370,plain,
    ! [X0] :
      ( ~ sQ825_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))) ),
    inference(component_clause,[status(thm)],[f16369]) ).

fof(f16372,plain,
    ( sQ825_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16366,f7936,f16369]) ).

fof(f16373,plain,
    ( sQ825_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16367,f4709,f16369]) ).

fof(f16374,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),f2(ct,X2)))
      | ~ element_of_collection(f2(ct,X2),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4077]) ).

fof(f16375,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X2,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X2,union_of_members(ct))),ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4078]) ).

fof(f16376,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4079]) ).

fof(f16377,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4080]) ).

fof(f16378,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),f1(ct,f11(X2,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X2,union_of_members(ct))),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4128]) ).

fof(f16379,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),f2(ct,X2)))
      | ~ element_of_collection(f2(ct,X2),ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4129]) ).

fof(f16380,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4148]) ).

fof(f16381,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4149]) ).

fof(f16382,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f13569]) ).

fof(f16383,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f13548]) ).

fof(f16384,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f8555]) ).

fof(f16385,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f8542]) ).

fof(f16386,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f8581]) ).

fof(f16387,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f8568]) ).

fof(f16388,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4105]) ).

fof(f16389,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4106]) ).

fof(f16390,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f1(ct,f11(X1,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4153]) ).

fof(f16391,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f2(ct,X1)))
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4183]) ).

fof(f16392,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4169]) ).

fof(f16393,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)))
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4170]) ).

fof(f16394,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)))
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4176]) ).

fof(f16395,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)))
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4177]) ).

fof(f16396,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4184]) ).

fof(f16397,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4185]) ).

fof(f16398,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,f1(ct,f11(X1,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4189]) ).

fof(f16399,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)))
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4206]) ).

fof(f16400,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)))
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4207]) ).

fof(f16401,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)))
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4213]) ).

fof(f16402,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4219]) ).

fof(f16403,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4220]) ).

fof(f16404,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(resolution,[status(thm)],[f14353,f4221]) ).

fof(f16405,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(intersection_of_sets(X1,X2),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_sets(X1,X2)),f6(cx,ct,f11(X0,intersection_of_sets(X1,X2)),X1,X2))
      | ~ element_of_collection(X2,ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(f11(X0,intersection_of_sets(X1,X2)),cx) ),
    inference(resolution,[status(thm)],[f14353,f165]) ).

fof(f16406,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),f6(cx,ct,f11(X2,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)))
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16374,f7114]) ).

fof(f16407,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),f6(cx,ct,f11(X2,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16375,f7114]) ).

fof(f16408,definition,
    ! [X0,X1] :
      ( sQ826_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),cx))
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ826_spl])],[split_symbol_definition]) ).

fof(f16409,plain,
    ! [X0,X1] :
      ( ~ sQ826_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),cx))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16408]) ).

fof(f16411,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ826_spl ),
    inference(split_clause,[status(thm)],[f16376,f16408,f2322,f1114]) ).

fof(f16412,definition,
    ! [X0,X1] :
      ( sQ827_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),empty_set))
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ827_spl])],[split_symbol_definition]) ).

fof(f16413,plain,
    ! [X0,X1] :
      ( ~ sQ827_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,union_of_members(ct))),empty_set))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16412]) ).

fof(f16415,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ827_spl ),
    inference(split_clause,[status(thm)],[f16377,f16412,f2319,f1114]) ).

fof(f16416,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),f6(cx,ct,f11(X2,intersection_of_members(ct)),f2(ct,X0),f1(ct,f11(X1,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16378,f7114]) ).

fof(f16417,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),f6(cx,ct,f11(X2,intersection_of_members(ct)),f2(ct,X0),f2(ct,X1)))
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16379,f7114]) ).

fof(f16418,definition,
    ! [X0,X1] :
      ( sQ828_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),cx))
        | ~ element_of_collection(f2(ct,X1),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ828_spl])],[split_symbol_definition]) ).

fof(f16419,plain,
    ! [X0,X1] :
      ( ~ sQ828_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),cx))
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16418]) ).

fof(f16421,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ828_spl ),
    inference(split_clause,[status(thm)],[f16380,f16418,f2322,f1114]) ).

fof(f16422,definition,
    ! [X0,X1] :
      ( sQ829_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),empty_set))
        | ~ element_of_collection(f2(ct,X1),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ829_spl])],[split_symbol_definition]) ).

fof(f16423,plain,
    ! [X0,X1] :
      ( ~ sQ829_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),f2(ct,X1),empty_set))
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16422]) ).

fof(f16425,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ829_spl ),
    inference(split_clause,[status(thm)],[f16381,f16422,f2319,f1114]) ).

fof(f16426,definition,
    ! [X0] :
      ( sQ830_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ830_spl])],[split_symbol_definition]) ).

fof(f16427,plain,
    ! [X0] :
      ( ~ sQ830_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16426]) ).

fof(f16429,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ790_spl
    | sQ830_spl ),
    inference(split_clause,[status(thm)],[f16382,f16426,f16018,f2319,f1114]) ).

fof(f16430,definition,
    ! [X0] :
      ( sQ831_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ831_spl])],[split_symbol_definition]) ).

fof(f16431,plain,
    ! [X0] :
      ( ~ sQ831_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16430]) ).

fof(f16433,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ790_spl
    | sQ831_spl ),
    inference(split_clause,[status(thm)],[f16383,f16430,f16018,f2322,f1114]) ).

fof(f16434,definition,
    ! [X0] :
      ( sQ832_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ832_spl])],[split_symbol_definition]) ).

fof(f16435,plain,
    ! [X0] :
      ( ~ sQ832_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16434]) ).

fof(f16437,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ793_spl
    | sQ832_spl ),
    inference(split_clause,[status(thm)],[f16384,f16434,f16029,f2319,f1114]) ).

fof(f16438,definition,
    ! [X0] :
      ( sQ833_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ833_spl])],[split_symbol_definition]) ).

fof(f16439,plain,
    ! [X0] :
      ( ~ sQ833_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16438]) ).

fof(f16441,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ793_spl
    | sQ833_spl ),
    inference(split_clause,[status(thm)],[f16385,f16438,f16029,f2322,f1114]) ).

fof(f16442,definition,
    ! [X0] :
      ( sQ834_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ834_spl])],[split_symbol_definition]) ).

fof(f16443,plain,
    ! [X0] :
      ( ~ sQ834_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16442]) ).

fof(f16445,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ796_spl
    | sQ834_spl ),
    inference(split_clause,[status(thm)],[f16386,f16442,f16040,f2319,f1114]) ).

fof(f16446,definition,
    ! [X0] :
      ( sQ835_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ835_spl])],[split_symbol_definition]) ).

fof(f16447,plain,
    ! [X0] :
      ( ~ sQ835_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16446]) ).

fof(f16449,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ796_spl
    | sQ835_spl ),
    inference(split_clause,[status(thm)],[f16387,f16446,f16040,f2322,f1114]) ).

fof(f16450,definition,
    ! [X0] :
      ( sQ836_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ836_spl])],[split_symbol_definition]) ).

fof(f16451,plain,
    ! [X0] :
      ( ~ sQ836_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16450]) ).

fof(f16453,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ799_spl
    | sQ836_spl ),
    inference(split_clause,[status(thm)],[f16388,f16450,f16051,f2322,f1114]) ).

fof(f16454,definition,
    ! [X0] :
      ( sQ837_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ837_spl])],[split_symbol_definition]) ).

fof(f16455,plain,
    ! [X0] :
      ( ~ sQ837_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16454]) ).

fof(f16457,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ799_spl
    | sQ837_spl ),
    inference(split_clause,[status(thm)],[f16389,f16454,f16051,f2319,f1114]) ).

fof(f16458,definition,
    ! [X0,X1] :
      ( sQ838_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f1(ct,f11(X1,union_of_members(ct)))))
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ838_spl])],[split_symbol_definition]) ).

fof(f16459,plain,
    ! [X0,X1] :
      ( ~ sQ838_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f1(ct,f11(X1,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16458]) ).

fof(f16461,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ838_spl ),
    inference(split_clause,[status(thm)],[f16390,f16458,f2322,f1114]) ).

fof(f16462,definition,
    ! [X0,X1] :
      ( sQ839_spl
    <=> ( element_of_set(X1,intersection_of_members(ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f2(ct,X1)))
        | ~ element_of_collection(f2(ct,X1),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ839_spl])],[split_symbol_definition]) ).

fof(f16463,plain,
    ! [X0,X1] :
      ( ~ sQ839_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,f2(ct,X1)))
      | ~ element_of_collection(f2(ct,X1),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16462]) ).

fof(f16465,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ839_spl ),
    inference(split_clause,[status(thm)],[f16391,f16462,f2322,f1114]) ).

fof(f16466,definition,
    ! [X0] :
      ( sQ840_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ840_spl])],[split_symbol_definition]) ).

fof(f16467,plain,
    ! [X0] :
      ( ~ sQ840_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16466]) ).

fof(f16469,plain,
    ( ~ sQ5_spl
    | ~ sQ799_spl
    | ~ sQ15_spl
    | sQ840_spl ),
    inference(split_clause,[status(thm)],[f16392,f16466,f2322,f16051,f1114]) ).

fof(f16470,definition,
    ! [X0] :
      ( sQ841_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ841_spl])],[split_symbol_definition]) ).

fof(f16471,plain,
    ! [X0] :
      ( ~ sQ841_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16470]) ).

fof(f16473,plain,
    ( ~ sQ5_spl
    | ~ sQ796_spl
    | ~ sQ15_spl
    | sQ841_spl ),
    inference(split_clause,[status(thm)],[f16393,f16470,f2322,f16040,f1114]) ).

fof(f16474,definition,
    ! [X0] :
      ( sQ842_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ842_spl])],[split_symbol_definition]) ).

fof(f16475,plain,
    ! [X0] :
      ( ~ sQ842_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16474]) ).

fof(f16477,plain,
    ( ~ sQ5_spl
    | ~ sQ790_spl
    | ~ sQ15_spl
    | sQ842_spl ),
    inference(split_clause,[status(thm)],[f16394,f16474,f2322,f16018,f1114]) ).

fof(f16478,definition,
    ! [X0] :
      ( sQ843_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ843_spl])],[split_symbol_definition]) ).

fof(f16479,plain,
    ! [X0] :
      ( ~ sQ843_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16478]) ).

fof(f16481,plain,
    ( ~ sQ5_spl
    | ~ sQ793_spl
    | ~ sQ15_spl
    | sQ843_spl ),
    inference(split_clause,[status(thm)],[f16395,f16478,f2322,f16029,f1114]) ).

fof(f16482,definition,
    ! [X0] :
      ( sQ844_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ844_spl])],[split_symbol_definition]) ).

fof(f16483,plain,
    ! [X0] :
      ( ~ sQ844_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16482]) ).

fof(f16485,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | sQ844_spl ),
    inference(split_clause,[status(thm)],[f16396,f16482,f2322,f1114]) ).

fof(f16486,definition,
    ! [X0] :
      ( sQ845_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ845_spl])],[split_symbol_definition]) ).

fof(f16487,plain,
    ! [X0] :
      ( ~ sQ845_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16486]) ).

fof(f16489,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | ~ sQ15_spl
    | sQ845_spl ),
    inference(split_clause,[status(thm)],[f16397,f16486,f2322,f2319,f1114]) ).

fof(f16490,definition,
    ! [X0,X1] :
      ( sQ846_spl
    <=> ( element_of_collection(union_of_members(ct),top_of_basis(X1))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,f1(ct,f11(X1,union_of_members(ct)))))
        | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ846_spl])],[split_symbol_definition]) ).

fof(f16491,plain,
    ! [X0,X1] :
      ( ~ sQ846_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,f1(ct,f11(X1,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X1,union_of_members(ct))),ct)
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16490]) ).

fof(f16493,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ846_spl ),
    inference(split_clause,[status(thm)],[f16398,f16490,f2319,f1114]) ).

fof(f16494,definition,
    ! [X0] :
      ( sQ847_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ847_spl])],[split_symbol_definition]) ).

fof(f16495,plain,
    ! [X0] :
      ( ~ sQ847_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16494]) ).

fof(f16497,plain,
    ( ~ sQ5_spl
    | ~ sQ790_spl
    | ~ sQ14_spl
    | sQ847_spl ),
    inference(split_clause,[status(thm)],[f16399,f16494,f2319,f16018,f1114]) ).

fof(f16498,definition,
    ! [X0] :
      ( sQ848_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ848_spl])],[split_symbol_definition]) ).

fof(f16499,plain,
    ! [X0] :
      ( ~ sQ848_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16498]) ).

fof(f16501,plain,
    ( ~ sQ5_spl
    | ~ sQ793_spl
    | ~ sQ14_spl
    | sQ848_spl ),
    inference(split_clause,[status(thm)],[f16400,f16498,f2319,f16029,f1114]) ).

fof(f16502,definition,
    ! [X0] :
      ( sQ849_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ849_spl])],[split_symbol_definition]) ).

fof(f16503,plain,
    ! [X0] :
      ( ~ sQ849_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16502]) ).

fof(f16505,plain,
    ( ~ sQ5_spl
    | ~ sQ796_spl
    | ~ sQ14_spl
    | sQ849_spl ),
    inference(split_clause,[status(thm)],[f16401,f16502,f2319,f16040,f1114]) ).

fof(f16506,definition,
    ! [X0] :
      ( sQ850_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ850_spl])],[split_symbol_definition]) ).

fof(f16507,plain,
    ! [X0] :
      ( ~ sQ850_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16506]) ).

fof(f16509,plain,
    ( ~ sQ5_spl
    | ~ sQ799_spl
    | ~ sQ14_spl
    | sQ850_spl ),
    inference(split_clause,[status(thm)],[f16402,f16506,f2319,f16051,f1114]) ).

fof(f16510,definition,
    ! [X0] :
      ( sQ851_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ851_spl])],[split_symbol_definition]) ).

fof(f16511,plain,
    ! [X0] :
      ( ~ sQ851_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16510]) ).

fof(f16513,plain,
    ( ~ sQ5_spl
    | ~ sQ15_spl
    | ~ sQ14_spl
    | sQ851_spl ),
    inference(split_clause,[status(thm)],[f16403,f16510,f2319,f2322,f1114]) ).

fof(f16514,definition,
    ! [X0] :
      ( sQ852_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set))
        | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ) ),
    introduced(definition,[new_symbols(definition,[sQ852_spl])],[split_symbol_definition]) ).

fof(f16515,plain,
    ! [X0] :
      ( ~ sQ852_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set))
      | ~ element_of_set(f11(X0,intersection_of_members(ct)),cx) ),
    inference(component_clause,[status(thm)],[f16514]) ).

fof(f16517,plain,
    ( ~ sQ5_spl
    | ~ sQ14_spl
    | sQ852_spl ),
    inference(split_clause,[status(thm)],[f16404,f16514,f2319,f1114]) ).

fof(f16518,plain,
    ! [X0,X1] :
      ( ~ sQ826_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),cx))
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16409,f7114]) ).

fof(f16519,plain,
    ! [X0,X1] :
      ( ~ sQ827_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,union_of_members(ct))),empty_set))
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16413,f7114]) ).

fof(f16520,plain,
    ! [X0,X1] :
      ( ~ sQ828_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),f2(ct,X0),cx))
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16419,f7114]) ).

fof(f16521,plain,
    ! [X0,X1] :
      ( ~ sQ829_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),f2(ct,X0),empty_set))
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16423,f7114]) ).

fof(f16522,plain,
    ! [X0] :
      ( ~ sQ830_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),empty_set)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16427,f7114]) ).

fof(f16523,plain,
    ! [X0] :
      ( ~ sQ831_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx),cx)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16431,f7114]) ).

fof(f16524,plain,
    ! [X0] :
      ( ~ sQ832_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),empty_set)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16435,f7114]) ).

fof(f16525,plain,
    ! [X0] :
      ( ~ sQ833_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set),cx)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16439,f7114]) ).

fof(f16526,plain,
    ! [X0] :
      ( ~ sQ834_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),empty_set)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16443,f7114]) ).

fof(f16527,plain,
    ! [X0] :
      ( ~ sQ835_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx),cx)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16447,f7114]) ).

fof(f16528,plain,
    ! [X0] :
      ( ~ sQ836_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),cx)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16451,f7114]) ).

fof(f16529,plain,
    ! [X0] :
      ( ~ sQ837_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set),empty_set)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16455,f7114]) ).

fof(f16530,plain,
    ! [X0,X1] :
      ( ~ sQ838_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),cx,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16459,f7114]) ).

fof(f16531,plain,
    ! [X0,X1] :
      ( ~ sQ839_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),cx,f2(ct,X0)))
      | ~ element_of_collection(f2(ct,X0),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16463,f7114]) ).

fof(f16532,plain,
    ! [X0] :
      ( ~ sQ840_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,empty_set))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16467,f7114]) ).

fof(f16533,plain,
    ! [X0] :
      ( ~ sQ841_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(empty_set,cx))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16471,f7114]) ).

fof(f16534,plain,
    ! [X0] :
      ( ~ sQ842_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,cx))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16475,f7114]) ).

fof(f16535,plain,
    ! [X0] :
      ( ~ sQ843_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,intersection_of_sets(cx,empty_set))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16479,f7114]) ).

fof(f16536,plain,
    ! [X0] :
      ( ~ sQ844_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,cx)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16483,f7114]) ).

fof(f16537,plain,
    ! [X0] :
      ( ~ sQ845_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),cx,empty_set)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16487,f7114]) ).

fof(f16538,plain,
    ! [X0,X1] :
      ( ~ sQ846_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f6(cx,ct,f11(X1,intersection_of_members(ct)),empty_set,f1(ct,f11(X0,union_of_members(ct)))))
      | ~ element_of_collection(f1(ct,f11(X0,union_of_members(ct))),ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16491,f7114]) ).

fof(f16539,plain,
    ! [X0] :
      ( ~ sQ847_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,cx))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16495,f7114]) ).

fof(f16540,plain,
    ! [X0] :
      ( ~ sQ848_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(cx,empty_set))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16499,f7114]) ).

fof(f16541,plain,
    ! [X0] :
      ( ~ sQ849_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,cx))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16503,f7114]) ).

fof(f16542,plain,
    ! [X0] :
      ( ~ sQ850_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,intersection_of_sets(empty_set,empty_set))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16507,f7114]) ).

fof(f16543,plain,
    ! [X0] :
      ( ~ sQ851_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,cx)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16511,f7114]) ).

fof(f16544,plain,
    ! [X0] :
      ( ~ sQ852_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f6(cx,ct,f11(X0,intersection_of_members(ct)),empty_set,empty_set)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16515,f7114]) ).

fof(f16545,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f2566,f15272]) ).

fof(f16546,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2566,f282]) ).

fof(f16547,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2566,f284]) ).

fof(f16548,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2566,f294]) ).

fof(f16549,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2566,f12215]) ).

fof(f16550,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2566,f312]) ).

fof(f16551,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2566,f316]) ).

fof(f16552,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2566,f331]) ).

fof(f16553,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2566,f336]) ).

fof(f16554,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2566,f277]) ).

fof(f16555,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f2566,f278]) ).

fof(f16556,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f2566,f276]) ).

fof(f16557,plain,
    open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)),cx,ct),
    inference(resolution,[status(thm)],[f2566,f3035]) ).

fof(f16558,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2566,f308]) ).

fof(f16559,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2566,f1148]) ).

fof(f16560,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2566,f116]) ).

fof(f16561,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2566,f4407]) ).

fof(f16562,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2566,f4396]) ).

fof(f16563,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f2566,f3199]) ).

fof(f16564,definition,
    ! [X1] :
      ( sQ853_spl
    <=> element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))) ),
    introduced(definition,[new_symbols(definition,[sQ853_spl])],[split_symbol_definition]) ).

fof(f16565,plain,
    ! [X0] :
      ( ~ sQ853_spl
      | element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))) ),
    inference(component_clause,[status(thm)],[f16564]) ).

fof(f16567,plain,
    ( sQ853_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16561,f7936,f16564]) ).

fof(f16568,plain,
    ( sQ853_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16562,f4709,f16564]) ).

fof(f16569,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f296,f15272]) ).

fof(f16570,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f296,f282]) ).

fof(f16571,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f296,f284]) ).

fof(f16572,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f296,f294]) ).

fof(f16573,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f296,f12215]) ).

fof(f16574,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f296,f312]) ).

fof(f16575,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f296,f316]) ).

fof(f16576,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f296,f331]) ).

fof(f16577,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f296,f336]) ).

fof(f16578,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f296,f277]) ).

fof(f16579,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f296,f278]) ).

fof(f16580,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f296,f276]) ).

fof(f16581,plain,
    open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f296,f3035]) ).

fof(f16582,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f296,f308]) ).

fof(f16583,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f296,f1148]) ).

fof(f16584,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f296,f116]) ).

fof(f16585,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f296,f4407]) ).

fof(f16586,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f296,f4396]) ).

fof(f16587,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f296,f3199]) ).

fof(f16588,definition,
    ! [X1] :
      ( sQ854_spl
    <=> element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ854_spl])],[split_symbol_definition]) ).

fof(f16589,plain,
    ! [X0] :
      ( ~ sQ854_spl
      | element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f16588]) ).

fof(f16591,plain,
    ( sQ854_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16585,f7936,f16588]) ).

fof(f16592,plain,
    ( sQ854_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16586,f4709,f16588]) ).

fof(f16593,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f295,f15272]) ).

fof(f16594,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f295,f282]) ).

fof(f16595,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f295,f284]) ).

fof(f16596,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f295,f294]) ).

fof(f16597,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f295,f12215]) ).

fof(f16598,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f295,f312]) ).

fof(f16599,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f295,f316]) ).

fof(f16600,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f295,f331]) ).

fof(f16601,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f295,f336]) ).

fof(f16602,plain,
    element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f295,f277]) ).

fof(f16603,plain,
    element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f295,f278]) ).

fof(f16604,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X0),ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f295,f276]) ).

fof(f16605,plain,
    open(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),cx,ct),
    inference(resolution,[status(thm)],[f295,f3035]) ).

fof(f16606,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f295,f308]) ).

fof(f16607,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f295,f1148]) ).

fof(f16608,plain,
    ! [X0] :
      ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f295,f116]) ).

fof(f16609,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f295,f4407]) ).

fof(f16610,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f295,f4396]) ).

fof(f16611,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    inference(resolution,[status(thm)],[f295,f3199]) ).

fof(f16612,definition,
    ! [X1] :
      ( sQ855_spl
    <=> element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    introduced(definition,[new_symbols(definition,[sQ855_spl])],[split_symbol_definition]) ).

fof(f16613,plain,
    ! [X0] :
      ( ~ sQ855_spl
      | element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))) ),
    inference(component_clause,[status(thm)],[f16612]) ).

fof(f16615,plain,
    ( sQ855_spl
    | sQ369_spl ),
    inference(split_clause,[status(thm)],[f16609,f7936,f16612]) ).

fof(f16616,plain,
    ( sQ855_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f16610,f4709,f16612]) ).

fof(f16617,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,intersection_of_members(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5)))
      | element_of_collection(f10(X2,f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6))),X0),X2)
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6)))) ),
    inference(resolution,[status(thm)],[f163,f15259]) ).

fof(f16618,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(subspace_topology(X1,top_of_basis(X2),X3)),top_of_basis(X4))
      | element_of_collection(f10(X2,f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3))))),X0),X2)
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3)))))) ),
    inference(resolution,[status(thm)],[f163,f14004]) ).

fof(f16619,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3)))
      | element_of_collection(f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4)),X0),X2)
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4))) ),
    inference(resolution,[status(thm)],[f163,f13999]) ).

fof(f16620,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(interior(X1,X2,top_of_basis(X3)),top_of_basis(X4))
      | element_of_collection(f10(X3,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3)))),X0),X3)
      | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3))))) ),
    inference(resolution,[status(thm)],[f163,f12204]) ).

fof(f16621,plain,
    ! [X0,X1,X2] :
      ( ~ sQ64_spl
      | element_of_collection(f10(X2,intersection_of_members(top_of_basis(X1)),X0),X2)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f163,f4249]) ).

fof(f16622,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X3,X1)
      | element_of_collection(f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0),X4)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f163,f3029]) ).

fof(f16623,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X1,X2)
      | element_of_collection(f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0),X4)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f163,f3026]) ).

fof(f16624,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X1,f11(X3,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(f10(X2,union_of_members(X1),X0),X2)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f163,f6698]) ).

fof(f16625,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(f10(X2,union_of_members(X1),X0),X2)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f163,f6680]) ).

fof(f16628,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X2),X0),X1)
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f163,f119]) ).

fof(f16629,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X1,X2)
      | element_of_collection(f10(X4,boundary(X1,X2,X3),X0),X4)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f163,f3033]) ).

fof(f16631,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | element_of_collection(f10(X6,interior(X1,X2,subspace_topology(X3,X4,X5)),X0),X6)
      | ~ element_of_set(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ),
    inference(resolution,[status(thm)],[f163,f12208]) ).

fof(f16632,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(X5,X3)
      | element_of_collection(f10(X6,interior(X1,X2,subspace_topology(X3,X4,X5)),X0),X6)
      | ~ element_of_set(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ),
    inference(resolution,[status(thm)],[f163,f12207]) ).

fof(f16635,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | element_of_collection(f10(X1,f1(top_of_basis(X1),X2),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f163,f13346]) ).

fof(f16636,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f163,f6683]) ).

fof(f16637,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))) ),
    inference(resolution,[status(thm)],[f163,f1159]) ).

fof(f16638,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f163,f6698]) ).

fof(f16639,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f163,f4399]) ).

fof(f16640,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f163,f1083]) ).

fof(f16641,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(f10(X1,cx,X0),X1)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f163,f11959]) ).

fof(f16642,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(f10(X1,empty_set,X0),X1)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f163,f11948]) ).

fof(f16643,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f10(X0,cx,f11(X1,intersection_of_members(ct))),X0) ),
    inference(resolution,[status(thm)],[f16641,f7114]) ).

fof(f16645,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(f10(X0,empty_set,f11(X1,intersection_of_members(ct))),X0) ),
    inference(resolution,[status(thm)],[f16642,f7116]) ).

fof(f16647,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,intersection_of_members(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5)))
      | element_of_set(X0,f10(X2,f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6))),X0))
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6)))) ),
    inference(resolution,[status(thm)],[f162,f15259]) ).

fof(f16648,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(subspace_topology(X1,top_of_basis(X2),X3)),top_of_basis(X4))
      | element_of_set(X0,f10(X2,f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3))))),X0))
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3)))))) ),
    inference(resolution,[status(thm)],[f162,f14004]) ).

fof(f16649,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3)))
      | element_of_set(X0,f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4)),X0))
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4))) ),
    inference(resolution,[status(thm)],[f162,f13999]) ).

fof(f16650,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(interior(X1,X2,top_of_basis(X3)),top_of_basis(X4))
      | element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3)))),X0))
      | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3))))) ),
    inference(resolution,[status(thm)],[f162,f12204]) ).

fof(f16651,plain,
    ! [X0,X1,X2] :
      ( ~ sQ64_spl
      | element_of_set(X0,f10(X2,intersection_of_members(top_of_basis(X1)),X0))
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f162,f4249]) ).

fof(f16652,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X3,X1)
      | element_of_set(X0,f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0))
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f162,f3029]) ).

fof(f16653,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X1,X2)
      | element_of_set(X0,f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0))
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f162,f3026]) ).

fof(f16654,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X1,f11(X3,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_set(X0,f10(X2,union_of_members(X1),X0))
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f162,f6698]) ).

fof(f16655,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_set(X0,f10(X2,union_of_members(X1),X0))
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f162,f6680]) ).

fof(f16658,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(X0,f10(X1,f2(top_of_basis(X1),X2),X0))
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f162,f119]) ).

fof(f16659,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X1,X2)
      | element_of_set(X0,f10(X4,boundary(X1,X2,X3),X0))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f162,f3033]) ).

fof(f16661,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | element_of_set(X0,f10(X6,interior(X1,X2,subspace_topology(X3,X4,X5)),X0))
      | ~ element_of_set(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ),
    inference(resolution,[status(thm)],[f162,f12208]) ).

fof(f16662,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(X5,X3)
      | element_of_set(X0,f10(X6,interior(X1,X2,subspace_topology(X3,X4,X5)),X0))
      | ~ element_of_set(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ),
    inference(resolution,[status(thm)],[f162,f12207]) ).

fof(f16665,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),X2),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f162,f13346]) ).

fof(f16666,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f162,f6683]) ).

fof(f16667,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))) ),
    inference(resolution,[status(thm)],[f162,f1159]) ).

fof(f16668,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f162,f6698]) ).

fof(f16669,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f162,f4399]) ).

fof(f16670,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f162,f1083]) ).

fof(f16671,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_set(X0,f10(X1,cx,X0))
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f162,f11959]) ).

fof(f16672,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_set(X0,f10(X1,empty_set,X0))
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f162,f11948]) ).

fof(f16673,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f10(X1,cx,f11(X0,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f16671,f7114]) ).

fof(f16675,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f10(X1,empty_set,f11(X0,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f16672,f7116]) ).

fof(f16677,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X2,subspace_topology(X0,ct,X1),X3)))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f12(X0,ct,X1,f12(X2,subspace_topology(X0,ct,X1),X3,f2(subspace_topology(X2,subspace_topology(X0,ct,X1),X3),X4)))),ct) ),
    inference(resolution,[status(thm)],[f291,f15259]) ).

fof(f16678,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(subspace_topology(X0,ct,X1)),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f12(X0,ct,X1,f1(subspace_topology(X0,ct,X1),f11(X2,union_of_members(subspace_topology(X0,ct,X1)))))),ct) ),
    inference(resolution,[status(thm)],[f291,f14004]) ).

fof(f16679,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(subspace_topology(X0,ct,X1)))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f12(X0,ct,X1,f2(subspace_topology(X0,ct,X1),X2))),ct) ),
    inference(resolution,[status(thm)],[f291,f13999]) ).

fof(f16680,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct) ),
    inference(resolution,[status(thm)],[f291,f12204]) ).

fof(f16682,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2011]) ).

fof(f16683,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f2012]) ).

fof(f16684,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2153]) ).

fof(f16685,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f2154]) ).

fof(f16686,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2299]) ).

fof(f16687,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f2300]) ).

fof(f16688,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f522]) ).

fof(f16689,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f523]) ).

fof(f16690,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f530]) ).

fof(f16691,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f531]) ).

fof(f16692,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f532]) ).

fof(f16693,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f533]) ).

fof(f16694,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f572]) ).

fof(f16695,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f573]) ).

fof(f16696,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f580]) ).

fof(f16697,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f581]) ).

fof(f16698,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f582]) ).

fof(f16699,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f583]) ).

fof(f16700,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1609]) ).

fof(f16701,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1610]) ).

fof(f16702,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1873]) ).

fof(f16703,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1874]) ).

fof(f16704,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f448]) ).

fof(f16705,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f449]) ).

fof(f16706,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f456]) ).

fof(f16707,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f457]) ).

fof(f16708,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f458]) ).

fof(f16709,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f459]) ).

fof(f16710,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f2537]) ).

fof(f16711,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f2538]) ).

fof(f16712,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f2566]) ).

fof(f16713,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2567]) ).

fof(f16714,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2565]) ).

fof(f16715,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f2596]) ).

fof(f16716,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2597]) ).

fof(f16717,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2569]) ).

fof(f16718,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f2598]) ).

fof(f16719,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f291,f2599]) ).

fof(f16720,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f291,f2486]) ).

fof(f16721,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f2897]) ).

fof(f16722,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),cx)),ct),
    inference(resolution,[status(thm)],[f291,f2898]) ).

fof(f16723,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f2829]) ).

fof(f16724,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f2830]) ).

fof(f16725,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f2862]) ).

fof(f16726,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2863]) ).

fof(f16727,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2861]) ).

fof(f16728,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f2895]) ).

fof(f16729,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2896]) ).

fof(f16730,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2865]) ).

fof(f16731,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f291,f2776]) ).

fof(f16732,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f13505]) ).

fof(f16733,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f13468]) ).

fof(f16734,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f13433]) ).

fof(f16735,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f13432]) ).

fof(f16736,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f291,f13352]) ).

fof(f16737,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f13523]) ).

fof(f16738,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,cx),cx)),ct),
    inference(resolution,[status(thm)],[f291,f13522]) ).

fof(f16739,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1483]) ).

fof(f16740,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1484]) ).

fof(f16741,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f1739]) ).

fof(f16742,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f1740]) ).

fof(f16743,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f410]) ).

fof(f16744,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f411]) ).

fof(f16745,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f418]) ).

fof(f16746,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f419]) ).

fof(f16747,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f420]) ).

fof(f16748,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f421]) ).

fof(f16749,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set)),ct),
    inference(resolution,[status(thm)],[f291,f3022]) ).

fof(f16750,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),cx)),ct),
    inference(resolution,[status(thm)],[f291,f3023]) ).

fof(f16751,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f2954]) ).

fof(f16752,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f2955]) ).

fof(f16753,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f2987]) ).

fof(f16754,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2988]) ).

fof(f16755,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2986]) ).

fof(f16756,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f3020]) ).

fof(f16757,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f3021]) ).

fof(f16758,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2990]) ).

fof(f16759,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct) ),
    inference(resolution,[status(thm)],[f291,f2901]) ).

fof(f16760,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f12219]) ).

fof(f16761,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f291,f318]) ).

fof(f16762,plain,
    ! [X0,X1] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f1145]) ).

fof(f16763,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f13564]) ).

fof(f16764,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f13543]) ).

fof(f16765,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f8551]) ).

fof(f16766,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f8538]) ).

fof(f16767,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f8577]) ).

fof(f16768,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f8564]) ).

fof(f16769,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f2747]) ).

fof(f16770,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f2766]) ).

fof(f16771,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2633]) ).

fof(f16772,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2652]) ).

fof(f16773,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2671]) ).

fof(f16774,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2709]) ).

fof(f16775,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f320]) ).

fof(f16776,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f321]) ).

fof(f16777,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f323]) ).

fof(f16778,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2614]) ).

fof(f16779,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2690]) ).

fof(f16780,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f2728]) ).

fof(f16781,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f324]) ).

fof(f16782,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f325]) ).

fof(f16785,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f12214]) ).

fof(f16788,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f538]) ).

fof(f16789,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f546]) ).

fof(f16790,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f589]) ).

fof(f16791,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f598]) ).

fof(f16792,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f484]) ).

fof(f16793,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f491]) ).

fof(f16794,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2748]) ).

fof(f16795,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f291,f2767]) ).

fof(f16796,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3309]) ).

fof(f16797,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3331]) ).

fof(f16798,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f14363]) ).

fof(f16799,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f424]) ).

fof(f16800,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f477]) ).

fof(f16801,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3353]) ).

fof(f16802,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f2672]) ).

fof(f16803,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2710]) ).

fof(f16804,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f339]) ).

fof(f16805,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2634]) ).

fof(f16806,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f2653]) ).

fof(f16807,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f349]) ).

fof(f16808,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f379]) ).

fof(f16809,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f389]) ).

fof(f16810,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f289]) ).

fof(f16811,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f292]) ).

fof(f16812,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f310]) ).

fof(f16813,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f2691]) ).

fof(f16814,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2729]) ).

fof(f16815,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f344]) ).

fof(f16816,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f295]) ).

fof(f16817,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2615]) ).

fof(f16818,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f354]) ).

fof(f16819,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f384]) ).

fof(f16820,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f394]) ).

fof(f16821,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f285]) ).

fof(f16822,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f286]) ).

fof(f16823,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f314]) ).

fof(f16824,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f359]) ).

fof(f16825,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f364]) ).

fof(f16826,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f369]) ).

fof(f16827,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f374]) ).

fof(f16828,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f329]) ).

fof(f16829,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f334]) ).

fof(f16831,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f1146]) ).

fof(f16832,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f4387]) ).

fof(f16833,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(interior(X0,X1,ct),top_of_basis(X2))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f12213]) ).

fof(f16836,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f539]) ).

fof(f16837,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f547]) ).

fof(f16838,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f590]) ).

fof(f16839,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f599]) ).

fof(f16840,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f485]) ).

fof(f16841,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f492]) ).

fof(f16842,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f2749]) ).

fof(f16843,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))),ct),
    inference(resolution,[status(thm)],[f291,f2768]) ).

fof(f16844,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3310]) ).

fof(f16845,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3332]) ).

fof(f16846,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f14362]) ).

fof(f16847,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f425]) ).

fof(f16848,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f478]) ).

fof(f16849,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3354]) ).

fof(f16850,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f2673]) ).

fof(f16851,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2711]) ).

fof(f16852,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f340]) ).

fof(f16853,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2635]) ).

fof(f16854,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f2654]) ).

fof(f16855,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f350]) ).

fof(f16856,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f380]) ).

fof(f16857,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f390]) ).

fof(f16858,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f290]) ).

fof(f16859,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),ct),
    inference(resolution,[status(thm)],[f291,f293]) ).

fof(f16860,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f311]) ).

fof(f16861,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f2692]) ).

fof(f16862,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2730]) ).

fof(f16863,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f345]) ).

fof(f16864,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))),ct),
    inference(resolution,[status(thm)],[f291,f296]) ).

fof(f16865,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))),ct),
    inference(resolution,[status(thm)],[f291,f2616]) ).

fof(f16866,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))),ct) ),
    inference(resolution,[status(thm)],[f291,f355]) ).

fof(f16867,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f385]) ).

fof(f16868,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f395]) ).

fof(f16869,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),ct),
    inference(resolution,[status(thm)],[f291,f281]) ).

fof(f16870,plain,
    element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),ct),
    inference(resolution,[status(thm)],[f291,f283]) ).

fof(f16871,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),ct) ),
    inference(resolution,[status(thm)],[f291,f315]) ).

fof(f16872,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f360]) ).

fof(f16873,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f365]) ).

fof(f16874,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f370]) ).

fof(f16875,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f375]) ).

fof(f16876,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),ct) ),
    inference(resolution,[status(thm)],[f291,f330]) ).

fof(f16877,plain,
    ! [X0] :
      ( element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),ct) ),
    inference(resolution,[status(thm)],[f291,f335]) ).

fof(f16879,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f1147]) ).

fof(f16880,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f1(ct,f11(X0,intersection_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f4388]) ).

fof(f16881,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f12220]) ).

fof(f16882,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1))),ct) ),
    inference(resolution,[status(thm)],[f291,f7082]) ).

fof(f16883,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set)),ct) ),
    inference(resolution,[status(thm)],[f291,f2451]) ).

fof(f16884,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx)),ct) ),
    inference(resolution,[status(thm)],[f291,f2452]) ).

fof(f16885,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct))))),ct) ),
    inference(resolution,[status(thm)],[f291,f2339]) ).

fof(f16886,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_sets(cx,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3473]) ).

fof(f16887,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_sets(cx,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3475]) ).

fof(f16888,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_sets(empty_set,empty_set)))),ct) ),
    inference(resolution,[status(thm)],[f291,f11979]) ).

fof(f16889,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_sets(empty_set,cx)))),ct) ),
    inference(resolution,[status(thm)],[f291,f3488]) ).

fof(f16890,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f291,f4364]) ).

fof(f16891,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X1,union_of_members(ct))),top_of_basis(X0))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,f1(ct,f11(X1,union_of_members(ct)))))),ct) ),
    inference(resolution,[status(thm)],[f291,f6683]) ).

fof(f16892,plain,
    ! [X0,X1] :
      ( element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,f2(ct,X1)))),ct) ),
    inference(resolution,[status(thm)],[f291,f1159]) ).

fof(f16893,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f291,f6698]) ).

fof(f16895,plain,
    ! [X0] :
      ( element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,union_of_members(ct)))),ct) ),
    inference(resolution,[status(thm)],[f291,f1083]) ).

fof(f16898,plain,
    ( sQ317_spl
    | sQ89_spl ),
    inference(split_clause,[status(thm)],[f16893,f4440,f6885]) ).

fof(f16900,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,intersection_of_members(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5)))
      | subset_sets(f10(X2,f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6))),X0),f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6))))
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f12(X4,subspace_topology(X1,top_of_basis(X2),X3),X5,f2(subspace_topology(X4,subspace_topology(X1,top_of_basis(X2),X3),X5),X6)))) ),
    inference(resolution,[status(thm)],[f164,f15259]) ).

fof(f16901,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(subspace_topology(X1,top_of_basis(X2),X3)),top_of_basis(X4))
      | subset_sets(f10(X2,f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3))))),X0),f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3))))))
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f1(subspace_topology(X1,top_of_basis(X2),X3),f11(X4,union_of_members(subspace_topology(X1,top_of_basis(X2),X3)))))) ),
    inference(resolution,[status(thm)],[f164,f14004]) ).

fof(f16902,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3)))
      | subset_sets(f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4)),X0),f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4)))
      | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X4))) ),
    inference(resolution,[status(thm)],[f164,f13999]) ).

fof(f16903,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(interior(X1,X2,top_of_basis(X3)),top_of_basis(X4))
      | subset_sets(f10(X3,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3)))),X0),f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3)))))
      | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3))))) ),
    inference(resolution,[status(thm)],[f164,f12204]) ).

fof(f16904,plain,
    ! [X0,X1,X2] :
      ( ~ sQ64_spl
      | subset_sets(f10(X2,intersection_of_members(top_of_basis(X1)),X0),intersection_of_members(top_of_basis(X1)))
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f164,f4249]) ).

fof(f16905,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X3,X1)
      | subset_sets(f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0),union_of_members(subspace_topology(X1,X2,X3)))
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f164,f3029]) ).

fof(f16906,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X1,X2)
      | subset_sets(f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0),union_of_members(subspace_topology(X1,X2,X3)))
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f164,f3026]) ).

fof(f16907,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X1,f11(X3,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | subset_sets(f10(X2,union_of_members(X1),X0),union_of_members(X1))
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f164,f6698]) ).

fof(f16908,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | subset_sets(f10(X2,union_of_members(X1),X0),union_of_members(X1))
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f164,f6680]) ).

fof(f16911,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | subset_sets(f10(X1,f2(top_of_basis(X1),X2),X0),f2(top_of_basis(X1),X2))
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f164,f119]) ).

fof(f16912,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X1,X2)
      | subset_sets(f10(X4,boundary(X1,X2,X3),X0),boundary(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f164,f3033]) ).

fof(f16914,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | subset_sets(f10(X6,interior(X1,X2,subspace_topology(X3,X4,X5)),X0),interior(X1,X2,subspace_topology(X3,X4,X5)))
      | ~ element_of_set(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ),
    inference(resolution,[status(thm)],[f164,f12208]) ).

fof(f16915,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(X5,X3)
      | subset_sets(f10(X6,interior(X1,X2,subspace_topology(X3,X4,X5)),X0),interior(X1,X2,subspace_topology(X3,X4,X5)))
      | ~ element_of_set(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ),
    inference(resolution,[status(thm)],[f164,f12207]) ).

fof(f16918,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | subset_sets(f10(X1,f1(top_of_basis(X1),X2),X0),f1(top_of_basis(X1),X2))
      | ~ element_of_set(X0,f1(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f164,f13346]) ).

fof(f16919,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f164,f6683]) ).

fof(f16920,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),X0),f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))) ),
    inference(resolution,[status(thm)],[f164,f1159]) ).

fof(f16921,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0),f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f164,f6698]) ).

fof(f16922,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0),f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f164,f4399]) ).

fof(f16923,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),X0),f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f164,f1083]) ).

fof(f16924,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | subset_sets(f10(X1,cx,X0),cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f164,f11959]) ).

fof(f16925,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | subset_sets(f10(X1,empty_set,X0),empty_set)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f164,f11948]) ).

fof(f16926,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | subset_sets(f10(X0,cx,f11(X1,intersection_of_members(ct))),cx) ),
    inference(resolution,[status(thm)],[f16924,f7114]) ).

fof(f16928,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | subset_sets(f10(X0,empty_set,f11(X1,intersection_of_members(ct))),empty_set) ),
    inference(resolution,[status(thm)],[f16925,f7116]) ).

fof(f16930,plain,
    ! [X0] :
      ( ~ subset_collections(ct,X0)
      | ~ topological_space(cx,X0)
      | finer(X0,ct,cx) ),
    inference(resolution,[status(thm)],[f152,f271]) ).

fof(f16931,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X7,intersection_of_members(subspace_topology(X5,subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X6)))
      | equal_sets(f12(X0,subspace_topology(X1,X2,X3),X4,f12(X5,subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X6,f2(subspace_topology(X5,subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X6),X7))),intersection_of_sets(X3,f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f12(X5,subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X6,f2(subspace_topology(X5,subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X6),X7)))))) ),
    inference(resolution,[status(thm)],[f173,f15259]) ).

fof(f16932,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5))
      | equal_sets(f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4))))),intersection_of_sets(X3,f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))))))) ),
    inference(resolution,[status(thm)],[f173,f14004]) ).

fof(f16933,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))
      | equal_sets(f12(X0,subspace_topology(X1,X2,X3),X4,f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5)),intersection_of_sets(X3,f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5))))) ),
    inference(resolution,[status(thm)],[f173,f13999]) ).

fof(f16934,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(interior(X0,X1,subspace_topology(X2,X3,X4)),top_of_basis(X5))
      | equal_sets(f13(X0,X1,subspace_topology(X2,X3,X4),f11(X5,interior(X0,X1,subspace_topology(X2,X3,X4)))),intersection_of_sets(X4,f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f11(X5,interior(X0,X1,subspace_topology(X2,X3,X4))))))) ),
    inference(resolution,[status(thm)],[f173,f12204]) ).

fof(f16935,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | equal_sets(f2(subspace_topology(X0,X1,X2),X3),intersection_of_sets(X2,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)))) ),
    inference(resolution,[status(thm)],[f173,f119]) ).

fof(f16936,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2)))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2))))))))) ),
    inference(resolution,[status(thm)],[f173,f6683]) ).

fof(f16937,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(subspace_topology(X0,X1,X2),X4),top_of_basis(X3))
      | element_of_set(X4,intersection_of_members(subspace_topology(X0,X1,X2)))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f2(subspace_topology(X0,X1,X2),X4))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f2(subspace_topology(X0,X1,X2),X4)))))) ),
    inference(resolution,[status(thm)],[f173,f1159]) ).

fof(f16938,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))))) ),
    inference(resolution,[status(thm)],[f173,f6698]) ).

fof(f16939,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))))) ),
    inference(resolution,[status(thm)],[f173,f4399]) ).

fof(f16940,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))) ),
    inference(resolution,[status(thm)],[f173,f1083]) ).

fof(f16941,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
      | element_of_set(f11(X0,boundary(X1,X2,X3)),closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f214,f165]) ).

fof(f16942,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | subset_sets(f10(X2,f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))),X1),f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))))
      | ~ element_of_set(X1,f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f164]) ).

fof(f16943,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | element_of_set(X1,f10(X2,f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))),X1))
      | ~ element_of_set(X1,f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f162]) ).

fof(f16944,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | element_of_collection(f10(X2,f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))),X1),X2)
      | ~ element_of_set(X1,f10(top_of_basis(X2),cx,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f163]) ).

fof(f16945,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ468_spl
      | element_of_set(X3,f10(subspace_topology(X4,subspace_topology(X1,X2,X5),X6),cx,f11(X0,intersection_of_members(ct))))
      | topological_space(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f15281]) ).

fof(f16946,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ468_spl
      | element_of_set(X3,f10(subspace_topology(X4,subspace_topology(X2,X5,X1),X6),cx,f11(X0,intersection_of_members(ct))))
      | subset_sets(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f15280]) ).

fof(f16947,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | equal_sets(f10(subspace_topology(X1,X2,X3),cx,f11(X0,intersection_of_members(ct))),intersection_of_sets(X3,f12(X1,X2,X3,f10(subspace_topology(X1,X2,X3),cx,f11(X0,intersection_of_members(ct))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f173]) ).

fof(f16948,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_collection(f12(X1,X2,X3,f10(subspace_topology(X1,X2,X3),cx,f11(X0,intersection_of_members(ct)))),X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f172]) ).

fof(f16949,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | subset_sets(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f171]) ).

fof(f16950,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | topological_space(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f169]) ).

fof(f16951,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f291]) ).

fof(f16952,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f15272]) ).

fof(f16953,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f282]) ).

fof(f16954,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f284]) ).

fof(f16955,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f294]) ).

fof(f16956,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f12215]) ).

fof(f16957,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f312]) ).

fof(f16958,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f316]) ).

fof(f16959,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f331]) ).

fof(f16960,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f336]) ).

fof(f16961,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(empty_set,f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f277]) ).

fof(f16962,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(cx,f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f278]) ).

fof(f16963,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f10(ct,cx,f11(X0,intersection_of_members(ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f276]) ).

fof(f16964,plain,
    ! [X0] :
      ( ~ sQ468_spl
      | open(f10(ct,cx,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f3035]) ).

fof(f16965,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f308]) ).

fof(f16966,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f1148]) ).

fof(f16967,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ element_of_set(X1,f10(X2,cx,f11(X0,intersection_of_members(ct))))
      | element_of_set(X1,union_of_members(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f116]) ).

fof(f16968,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_set(X3,f10(X1,cx,f11(X0,intersection_of_members(ct))))
      | element_of_collection(f1(X1,f11(X2,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f4407]) ).

fof(f16969,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_set(X3,f10(X1,cx,f11(X0,intersection_of_members(ct))))
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f4396]) ).

fof(f16970,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(X2),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(X2)),f10(X2,cx,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f3199]) ).

fof(f16971,plain,
    ( ~ sQ468_spl
    | sQ61_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f16949,f11969,f4237,f11958]) ).

fof(f16972,plain,
    ( ~ sQ468_spl
    | sQ71_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f16950,f11969,f4291,f11958]) ).

fof(f16973,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ disjoint_s(X1,f16(f20(cx,ct),X0,cx,ct))
      | ~ neighborhood(X1,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct)
      | limit_point(f20(cx,ct),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f6915,f9569]) ).

fof(f16974,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | open(f16(X0,X1,cx,ct),cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f6915,f197]) ).

fof(f16975,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | topological_space(cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f6915,f195]) ).

fof(f16976,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_set(X0,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f6915,f199]) ).

fof(f16977,plain,
    ( ~ sQ61_spl
    | sQ0_spl
    | sQ487_spl ),
    inference(split_clause,[status(thm)],[f16973,f12177,f1093,f4237]) ).

fof(f16978,plain,
    ( ~ sQ61_spl
    | sQ13_spl
    | sQ488_spl ),
    inference(split_clause,[status(thm)],[f16975,f12181,f1367,f4237]) ).

fof(f16979,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | ~ topological_space(cx,ct)
      | neighborhood(f16(X0,X1,cx,ct),X2,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16974,f201]) ).

fof(f16980,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ subset_sets(f16(X0,X1,cx,ct),X3)
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | ~ subset_sets(X3,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X2,interior(X3,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16974,f184]) ).

fof(f16981,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(f16(X0,X1,cx,ct),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16974,f138]) ).

fof(f16982,definition,
    ! [X0,X1,X2] :
      ( sQ856_spl
    <=> ( ~ element_of_set(X2,f16(X0,X1,cx,ct))
        | neighborhood(f16(X0,X1,cx,ct),X2,cx,ct)
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ856_spl])],[split_symbol_definition]) ).

fof(f16983,plain,
    ! [X0,X1,X2] :
      ( ~ sQ856_spl
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | neighborhood(f16(X0,X1,cx,ct),X2,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f16982]) ).

fof(f16985,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ856_spl ),
    inference(split_clause,[status(thm)],[f16979,f16982,f1367,f4237]) ).

fof(f16986,definition,
    ! [X0,X1,X2,X3] :
      ( sQ857_spl
    <=> ( ~ subset_sets(f16(X0,X1,cx,ct),X3)
        | ~ element_of_set(X2,f16(X0,X1,cx,ct))
        | ~ subset_sets(X3,cx)
        | element_of_set(X2,interior(X3,cx,ct))
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ857_spl])],[split_symbol_definition]) ).

fof(f16987,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ857_spl
      | ~ subset_sets(f16(X0,X1,cx,ct),X3)
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | ~ subset_sets(X3,cx)
      | element_of_set(X2,interior(X3,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f16986]) ).

fof(f16989,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ857_spl ),
    inference(split_clause,[status(thm)],[f16980,f16986,f1367,f4237]) ).

fof(f16990,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f291]) ).

fof(f16991,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f15272]) ).

fof(f16992,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f282]) ).

fof(f16993,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f284]) ).

fof(f16994,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f294]) ).

fof(f16995,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f16(X0,X1,cx,ct)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f12215]) ).

fof(f16996,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f312]) ).

fof(f16997,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f316]) ).

fof(f16998,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f331]) ).

fof(f16999,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f336]) ).

fof(f17000,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(empty_set,f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f277]) ).

fof(f17001,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(cx,f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f278]) ).

fof(f17002,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,ct),X2),ct)
      | ~ element_of_collection(X2,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f276]) ).

fof(f17004,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f308]) ).

fof(f17005,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f16(X0,X1,cx,ct)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f1148]) ).

fof(f17006,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f116]) ).

fof(f17007,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,f16(X0,X1,cx,ct))
      | element_of_collection(f1(ct,f11(X2,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f4407]) ).

fof(f17008,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,f16(X0,X1,cx,ct))
      | element_of_set(f11(X2,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f4396]) ).

fof(f17009,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f3199]) ).

fof(f17010,definition,
    ! [X0,X1,X3] :
      ( sQ858_spl
    <=> ( element_of_set(X3,f16(X0,X1,cx,ct))
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ858_spl])],[split_symbol_definition]) ).

fof(f17011,plain,
    ! [X0,X1,X2] :
      ( ~ sQ858_spl
      | element_of_set(X2,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f17010]) ).

fof(f17013,plain,
    ( ~ sQ61_spl
    | sQ369_spl
    | sQ858_spl ),
    inference(split_clause,[status(thm)],[f17007,f17010,f7936,f4237]) ).

fof(f17014,plain,
    ( ~ sQ61_spl
    | sQ115_spl
    | sQ858_spl ),
    inference(split_clause,[status(thm)],[f17008,f17010,f4709,f4237]) ).

fof(f17015,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | subset_sets(f10(X2,f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))),X1),f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))))
      | ~ element_of_set(X1,f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f164]) ).

fof(f17016,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | element_of_set(X1,f10(X2,f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))),X1))
      | ~ element_of_set(X1,f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f162]) ).

fof(f17017,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | element_of_collection(f10(X2,f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))),X1),X2)
      | ~ element_of_set(X1,f10(top_of_basis(X2),empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f163]) ).

fof(f17018,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ466_spl
      | element_of_set(X3,f10(subspace_topology(X4,subspace_topology(X1,X2,X5),X6),empty_set,f11(X0,intersection_of_members(ct))))
      | topological_space(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f15281]) ).

fof(f17019,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ466_spl
      | element_of_set(X3,f10(subspace_topology(X4,subspace_topology(X2,X5,X1),X6),empty_set,f11(X0,intersection_of_members(ct))))
      | subset_sets(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f15280]) ).

fof(f17020,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | equal_sets(f10(subspace_topology(X1,X2,X3),empty_set,f11(X0,intersection_of_members(ct))),intersection_of_sets(X3,f12(X1,X2,X3,f10(subspace_topology(X1,X2,X3),empty_set,f11(X0,intersection_of_members(ct))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f173]) ).

fof(f17021,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | element_of_collection(f12(X1,X2,X3,f10(subspace_topology(X1,X2,X3),empty_set,f11(X0,intersection_of_members(ct)))),X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f172]) ).

fof(f17022,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | subset_sets(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f171]) ).

fof(f17023,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | topological_space(X1,X2)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f169]) ).

fof(f17024,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f291]) ).

fof(f17025,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f15272]) ).

fof(f17026,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f282]) ).

fof(f17027,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f284]) ).

fof(f17028,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f294]) ).

fof(f17029,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f12215]) ).

fof(f17030,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f312]) ).

fof(f17031,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f316]) ).

fof(f17032,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f331]) ).

fof(f17033,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f336]) ).

fof(f17034,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(empty_set,f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f277]) ).

fof(f17035,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(cx,f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f278]) ).

fof(f17036,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f10(ct,empty_set,f11(X0,intersection_of_members(ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f276]) ).

fof(f17037,plain,
    ! [X0] :
      ( ~ sQ466_spl
      | open(f10(ct,empty_set,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f3035]) ).

fof(f17038,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f308]) ).

fof(f17039,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f1148]) ).

fof(f17040,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | ~ element_of_set(X1,f10(X2,empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_set(X1,union_of_members(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f116]) ).

fof(f17041,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | element_of_set(X3,f10(X1,empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_collection(f1(X1,f11(X2,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f4407]) ).

fof(f17042,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | element_of_set(X3,f10(X1,empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f4396]) ).

fof(f17043,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(X2),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(X2)),f10(X2,empty_set,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f3199]) ).

fof(f17044,plain,
    ( ~ sQ466_spl
    | sQ61_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f17022,f11969,f4237,f11947]) ).

fof(f17045,plain,
    ( ~ sQ466_spl
    | sQ71_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f17023,f11969,f4291,f11947]) ).

fof(f17046,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f291]) ).

fof(f17047,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f15272]) ).

fof(f17048,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f282]) ).

fof(f17049,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f284]) ).

fof(f17050,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f294]) ).

fof(f17051,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f12215]) ).

fof(f17052,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f312]) ).

fof(f17053,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f316]) ).

fof(f17054,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f331]) ).

fof(f17055,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f336]) ).

fof(f17056,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f277]) ).

fof(f17057,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f278]) ).

fof(f17058,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f16(X0,X1,cx,ct)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f276]) ).

fof(f17059,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | open(intersection_of_sets(empty_set,f16(X0,X1,cx,ct)),cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f3035]) ).

fof(f17060,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f308]) ).

fof(f17061,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f1148]) ).

fof(f17062,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f116]) ).

fof(f17063,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | element_of_collection(f1(ct,f11(X2,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f4407]) ).

fof(f17064,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | element_of_set(f11(X2,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f4396]) ).

fof(f17065,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f3199]) ).

fof(f17066,definition,
    ! [X0,X1,X3] :
      ( sQ859_spl
    <=> ( element_of_set(X3,intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ859_spl])],[split_symbol_definition]) ).

fof(f17067,plain,
    ! [X0,X1,X2] :
      ( ~ sQ859_spl
      | element_of_set(X2,intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f17066]) ).

fof(f17069,plain,
    ( ~ sQ61_spl
    | sQ369_spl
    | sQ859_spl ),
    inference(split_clause,[status(thm)],[f17063,f17066,f7936,f4237]) ).

fof(f17070,plain,
    ( ~ sQ61_spl
    | sQ115_spl
    | sQ859_spl ),
    inference(split_clause,[status(thm)],[f17064,f17066,f4709,f4237]) ).

fof(f17071,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f291]) ).

fof(f17072,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f15272]) ).

fof(f17073,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f282]) ).

fof(f17074,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f284]) ).

fof(f17075,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f294]) ).

fof(f17076,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f12215]) ).

fof(f17077,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f312]) ).

fof(f17078,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f316]) ).

fof(f17079,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f331]) ).

fof(f17080,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f336]) ).

fof(f17081,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f277]) ).

fof(f17082,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f278]) ).

fof(f17083,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f16(X0,X1,cx,ct)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f276]) ).

fof(f17084,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | open(intersection_of_sets(cx,f16(X0,X1,cx,ct)),cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f3035]) ).

fof(f17085,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f308]) ).

fof(f17086,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f1148]) ).

fof(f17087,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f116]) ).

fof(f17088,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | element_of_collection(f1(ct,f11(X2,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f4407]) ).

fof(f17089,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | element_of_set(f11(X2,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f4396]) ).

fof(f17090,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f3199]) ).

fof(f17091,definition,
    ! [X0,X1,X3] :
      ( sQ860_spl
    <=> ( element_of_set(X3,intersection_of_sets(cx,f16(X0,X1,cx,ct)))
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ860_spl])],[split_symbol_definition]) ).

fof(f17092,plain,
    ! [X0,X1,X2] :
      ( ~ sQ860_spl
      | element_of_set(X2,intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f17091]) ).

fof(f17094,plain,
    ( ~ sQ61_spl
    | sQ369_spl
    | sQ860_spl ),
    inference(split_clause,[status(thm)],[f17088,f17091,f7936,f4237]) ).

fof(f17095,plain,
    ( ~ sQ61_spl
    | sQ115_spl
    | sQ860_spl ),
    inference(split_clause,[status(thm)],[f17089,f17091,f4709,f4237]) ).

fof(f17096,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | subset_sets(f10(X2,cx,f11(X0,intersection_of_members(ct))),f14(f10(X2,cx,f11(X0,intersection_of_members(ct))),cx,ct,X1))
      | element_of_set(X1,closure(f10(X2,cx,f11(X0,intersection_of_members(ct))),cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16926,f1150]) ).

fof(f17097,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f16(X1,f10(X2,cx,f11(X0,intersection_of_members(ct))),cx,ct),f10(X2,cx,f11(X0,intersection_of_members(ct)))),top_of_basis(X3))
      | eq_p(f11(X3,intersection_of_sets(f16(X1,f10(X2,cx,f11(X0,intersection_of_members(ct))),cx,ct),f10(X2,cx,f11(X0,intersection_of_members(ct))))),X1)
      | limit_point(X1,f10(X2,cx,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16926,f2337]) ).

fof(f17098,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(f11(X0,intersection_of_members(ct)),interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f7364,f4076]) ).

fof(f17099,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(f11(X0,f2(ct,X1)),interior(X2,cx,ct)) ),
    inference(resolution,[status(thm)],[f7364,f165]) ).

fof(f17100,definition,
    ! [X0,X1] :
      ( sQ861_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
        | element_of_set(f11(X0,intersection_of_members(ct)),interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ861_spl])],[split_symbol_definition]) ).

fof(f17101,plain,
    ! [X0,X1] :
      ( ~ sQ861_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f17100]) ).

fof(f17103,plain,
    ( ~ sQ329_spl
    | sQ484_spl
    | sQ861_spl ),
    inference(split_clause,[status(thm)],[f17098,f17100,f12081,f7363]) ).

fof(f17104,plain,
    ( ~ sQ484_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f12085,f4436,f12081]) ).

fof(f17105,plain,
    ! [X0,X1] :
      ( ~ sQ861_spl
      | subset_sets(f13(X1,cx,ct,f11(X0,intersection_of_members(ct))),X1)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17101,f181]) ).

fof(f17106,plain,
    ! [X0,X1] :
      ( ~ sQ861_spl
      | element_of_set(f11(X0,intersection_of_members(ct)),f13(X1,cx,ct,f11(X0,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17101,f180]) ).

fof(f17107,plain,
    ! [X0,X1] :
      ( ~ sQ861_spl
      | open(f13(X1,cx,ct,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17101,f182]) ).

fof(f17108,plain,
    ! [X0,X1] :
      ( ~ sQ861_spl
      | subset_sets(X1,cx)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17101,f179]) ).

fof(f17110,definition,
    ! [X1] :
      ( sQ862_spl
    <=> subset_sets(X1,cx) ),
    introduced(definition,[new_symbols(definition,[sQ862_spl])],[split_symbol_definition]) ).

fof(f17111,plain,
    ! [X0] :
      ( ~ sQ862_spl
      | subset_sets(X0,cx) ),
    inference(component_clause,[status(thm)],[f17110]) ).

fof(f17113,plain,
    ( ~ sQ861_spl
    | sQ862_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f17108,f11969,f17110,f17100]) ).

fof(f17115,plain,
    ! [X0,X1] :
      ( ~ sQ861_spl
      | subset_sets(f13(cx,cx,ct,f11(X0,intersection_of_members(ct))),f14(f13(cx,cx,ct,f11(X0,intersection_of_members(ct))),cx,ct,X1))
      | element_of_set(X1,closure(f13(cx,cx,ct,f11(X0,intersection_of_members(ct))),cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17105,f1150]) ).

fof(f17116,plain,
    ! [X0,X1,X2] :
      ( ~ sQ861_spl
      | element_of_collection(intersection_of_sets(f16(X1,f13(cx,cx,ct,f11(X0,intersection_of_members(ct))),cx,ct),f13(cx,cx,ct,f11(X0,intersection_of_members(ct)))),top_of_basis(X2))
      | eq_p(f11(X2,intersection_of_sets(f16(X1,f13(cx,cx,ct,f11(X0,intersection_of_members(ct))),cx,ct),f13(cx,cx,ct,f11(X0,intersection_of_members(ct))))),X1)
      | limit_point(X1,f13(cx,cx,ct,f11(X0,intersection_of_members(ct))),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17105,f2337]) ).

fof(f17117,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ element_of_set(X1,f10(ct,cx,f11(X0,intersection_of_members(ct))))
      | ~ topological_space(cx,ct)
      | neighborhood(f10(ct,cx,f11(X0,intersection_of_members(ct))),X1,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16964,f201]) ).

fof(f17118,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ subset_sets(f10(ct,cx,f11(X0,intersection_of_members(ct))),X2)
      | ~ element_of_set(X1,f10(ct,cx,f11(X0,intersection_of_members(ct))))
      | ~ subset_sets(X2,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16964,f184]) ).

fof(f17120,definition,
    ! [X0,X1] :
      ( sQ863_spl
    <=> ( ~ element_of_set(X1,f10(ct,cx,f11(X0,intersection_of_members(ct))))
        | neighborhood(f10(ct,cx,f11(X0,intersection_of_members(ct))),X1,cx,ct)
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ863_spl])],[split_symbol_definition]) ).

fof(f17121,plain,
    ! [X0,X1] :
      ( ~ sQ863_spl
      | ~ element_of_set(X1,f10(ct,cx,f11(X0,intersection_of_members(ct))))
      | neighborhood(f10(ct,cx,f11(X0,intersection_of_members(ct))),X1,cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f17120]) ).

fof(f17123,plain,
    ( ~ sQ468_spl
    | ~ sQ13_spl
    | sQ863_spl ),
    inference(split_clause,[status(thm)],[f17117,f17120,f1367,f11958]) ).

fof(f17124,definition,
    ! [X0,X1,X2] :
      ( sQ864_spl
    <=> ( ~ subset_sets(f10(ct,cx,f11(X0,intersection_of_members(ct))),X2)
        | ~ element_of_set(X1,f10(ct,cx,f11(X0,intersection_of_members(ct))))
        | ~ subset_sets(X2,cx)
        | element_of_set(X1,interior(X2,cx,ct))
        | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ864_spl])],[split_symbol_definition]) ).

fof(f17125,plain,
    ! [X0,X1,X2] :
      ( ~ sQ864_spl
      | ~ subset_sets(f10(ct,cx,f11(X0,intersection_of_members(ct))),X2)
      | ~ element_of_set(X1,f10(ct,cx,f11(X0,intersection_of_members(ct))))
      | ~ subset_sets(X2,cx)
      | element_of_set(X1,interior(X2,cx,ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f17124]) ).

fof(f17127,plain,
    ( ~ sQ468_spl
    | ~ sQ13_spl
    | sQ864_spl ),
    inference(split_clause,[status(thm)],[f17118,f17124,f1367,f11958]) ).

fof(f17128,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f291]) ).

fof(f17129,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f15272]) ).

fof(f17130,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f282]) ).

fof(f17131,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f284]) ).

fof(f17132,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f16(X0,X1,cx,ct)),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f294]) ).

fof(f17133,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f16(X0,X1,cx,ct)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f12215]) ).

fof(f17134,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f312]) ).

fof(f17135,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f316]) ).

fof(f17136,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f331]) ).

fof(f17137,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f336]) ).

fof(f17140,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,ct),X2),ct)
      | ~ element_of_collection(X2,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f276]) ).

fof(f17142,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f16(X0,X1,cx,ct)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f308]) ).

fof(f17143,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f16(X0,X1,cx,ct)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f1148]) ).

fof(f17144,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f116]) ).

fof(f17147,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f16981,f3199]) ).

fof(f17161,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f291]) ).

fof(f17162,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f15272]) ).

fof(f17163,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f282]) ).

fof(f17164,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f284]) ).

fof(f17165,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f294]) ).

fof(f17166,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f12215]) ).

fof(f17167,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f312]) ).

fof(f17168,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f316]) ).

fof(f17169,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f331]) ).

fof(f17170,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f336]) ).

fof(f17171,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f277]) ).

fof(f17172,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f278]) ).

fof(f17173,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f16(X0,X1,cx,ct)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f276]) ).

fof(f17174,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | open(intersection_of_sets(empty_set,f16(X0,X1,cx,ct)),cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f3035]) ).

fof(f17175,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f308]) ).

fof(f17176,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(empty_set,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f1148]) ).

fof(f17177,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f116]) ).

fof(f17180,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(empty_set,f16(X0,X1,cx,ct)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17000,f3199]) ).

fof(f17183,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f291]) ).

fof(f17184,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f15272]) ).

fof(f17185,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f282]) ).

fof(f17186,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f284]) ).

fof(f17187,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f294]) ).

fof(f17188,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f12215]) ).

fof(f17189,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f312]) ).

fof(f17190,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f316]) ).

fof(f17191,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f331]) ).

fof(f17192,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f336]) ).

fof(f17193,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f277]) ).

fof(f17194,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f278]) ).

fof(f17195,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f16(X0,X1,cx,ct)),X2),ct)
      | ~ element_of_collection(X2,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f276]) ).

fof(f17196,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | open(intersection_of_sets(cx,f16(X0,X1,cx,ct)),cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f3035]) ).

fof(f17197,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f308]) ).

fof(f17198,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),intersection_of_sets(cx,f16(X0,X1,cx,ct))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f1148]) ).

fof(f17199,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_set(X2,intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f116]) ).

fof(f17202,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(ct)),intersection_of_sets(cx,f16(X0,X1,cx,ct)))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17001,f3199]) ).

fof(f17205,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | topological_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f226]) ).

fof(f17206,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f21(X0,X1),X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f232]) ).

fof(f17207,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f22(X0,X1),X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f234]) ).

fof(f17208,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f236]) ).

fof(f17209,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ equal_sets(f22(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f230]) ).

fof(f17210,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f228]) ).

fof(f17211,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6975,f243]) ).

fof(f17213,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f241,f17205]) ).

fof(f17214,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ subset_collections(X3,X2)
      | ~ topological_space(X0,X2)
      | finer(X2,X3,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f152]) ).

fof(f17215,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(union_of_members(X2),X3)
      | ~ subset_collections(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f128]) ).

fof(f17216,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_collection(X2,X3)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f140]) ).

fof(f17217,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(X2,X4),X3)
      | ~ element_of_collection(X4,X3)
      | ~ element_of_collection(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f126]) ).

fof(f17218,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X0,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X0,X4),X3)),X2)
      | ~ subset_sets(X3,X0)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f1382]) ).

fof(f17219,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | closed(f14(X3,X0,X4,X2),X0,X4)
      | ~ subset_sets(X3,X0)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f192]) ).

fof(f17220,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | ~ subset_sets(X3,X0)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f208]) ).

fof(f17221,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X3,f14(X3,X0,X4,X2))
      | ~ subset_sets(X3,X0)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f191]) ).

fof(f17222,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | equal_sets(union_of_members(X2),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f121]) ).

fof(f17223,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(empty_set,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f123]) ).

fof(f17224,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f124]) ).

fof(f17225,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(X0,X2),X0)
      | hausdorff(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f221]) ).

fof(f17226,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(X0,X2),X0)
      | hausdorff(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f220]) ).

fof(f17227,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | open_covering(f24(X0,X2),X0,X2)
      | compact_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f263]) ).

fof(f17228,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ subset_collections(X3,X2)
      | finer(X2,X3,X0)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17214,f17205]) ).

fof(f17229,plain,
    ( ~ sQ71_spl
    | sQ72_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f17215,f7030,f4296,f4291]) ).

fof(f17230,plain,
    ( ~ sQ71_spl
    | sQ83_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f17217,f7030,f4340,f4291]) ).

fof(f17231,plain,
    ( ~ sQ71_spl
    | sQ84_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f17223,f7030,f4344,f4291]) ).

fof(f17235,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | element_of_collection(f2(ct,X1),top_of_basis(X0))
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(f11(X0,f2(ct,X1)),interior(X2,cx,ct)) ),
    inference(resolution,[status(thm)],[f7364,f165]) ).

fof(f17237,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(f16(X0,X1,cx,ct),top_of_basis(X2))
      | element_of_set(f11(X2,f16(X0,X1,cx,ct)),union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17006,f165]) ).

fof(f17238,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | limit_point(X0,X1,cx,ct)
      | element_of_set(X0,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17006,f16976]) ).

fof(f17239,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_set(X0,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(duplicate_literals_removal,[status(thm)],[f17238]) ).

fof(f17240,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(f15(X0,X2,cx,ct,X1),intersection_of_sets(X1,X2))
      | ~ neighborhood(X1,X0,cx,ct)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17239,f206]) ).

fof(f17241,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | subset_sets(X1,cx)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17239,f205]) ).

fof(f17243,plain,
    ( ~ sQ61_spl
    | sQ862_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f17241,f6461,f17110,f4237]) ).

fof(f17245,plain,
    ( ~ sQ88_spl
    | sQ303_spl
    | sQ466_spl ),
    inference(split_clause,[status(thm)],[f7054,f11947,f6461,f4436]) ).

fof(f17246,plain,
    ( ~ sQ88_spl
    | sQ303_spl
    | sQ468_spl ),
    inference(split_clause,[status(thm)],[f7055,f11958,f6461,f4436]) ).

fof(f17249,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ858_spl
      | element_of_set(X2,union_of_members(ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f17006,f17011]) ).

fof(f17250,plain,
    ( ~ sQ61_spl
    | ~ sQ858_spl
    | sQ303_spl
    | sQ488_spl ),
    inference(split_clause,[status(thm)],[f17249,f12181,f6461,f17010,f4237]) ).

fof(f17252,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | open(f18(cx,ct,X0,X1),cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f6863,f197]) ).

fof(f17253,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | topological_space(cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f6863,f195]) ).

fof(f17254,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | element_of_set(X1,f18(cx,ct,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f6863,f199]) ).

fof(f17256,plain,
    ( ~ sQ0_spl
    | ~ sQ88_spl
    | sQ13_spl
    | sQ323_spl ),
    inference(split_clause,[status(thm)],[f17253,f7034,f1367,f4436,f1093]) ).

fof(f17257,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | ~ element_of_set(X2,f18(cx,ct,X0,X1))
      | ~ topological_space(cx,ct)
      | neighborhood(f18(cx,ct,X0,X1),X2,cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f17252,f201]) ).

fof(f17258,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | ~ subset_sets(f18(cx,ct,X0,X1),X3)
      | ~ element_of_set(X2,f18(cx,ct,X0,X1))
      | ~ subset_sets(X3,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X2,interior(X3,cx,ct))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f17252,f184]) ).

fof(f17259,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ88_spl
      | element_of_collection(f18(cx,ct,X0,X1),ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f17252,f138]) ).

fof(f17260,definition,
    ! [X0,X1,X2] :
      ( sQ865_spl
    <=> ( ~ element_of_set(X2,f18(cx,ct,X0,X1))
        | neighborhood(f18(cx,ct,X0,X1),X2,cx,ct)
        | eq_p(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ865_spl])],[split_symbol_definition]) ).

fof(f17261,plain,
    ! [X0,X1,X2] :
      ( ~ sQ865_spl
      | ~ element_of_set(X2,f18(cx,ct,X0,X1))
      | neighborhood(f18(cx,ct,X0,X1),X2,cx,ct)
      | eq_p(X0,X1) ),
    inference(component_clause,[status(thm)],[f17260]) ).

fof(f17263,plain,
    ( ~ sQ0_spl
    | ~ sQ88_spl
    | ~ sQ13_spl
    | sQ865_spl ),
    inference(split_clause,[status(thm)],[f17257,f17260,f1367,f4436,f1093]) ).

fof(f17264,definition,
    ! [X0,X1,X2,X3] :
      ( sQ866_spl
    <=> ( ~ subset_sets(f18(cx,ct,X0,X1),X3)
        | ~ element_of_set(X2,f18(cx,ct,X0,X1))
        | ~ subset_sets(X3,cx)
        | element_of_set(X2,interior(X3,cx,ct))
        | eq_p(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ866_spl])],[split_symbol_definition]) ).

fof(f17265,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ866_spl
      | ~ subset_sets(f18(cx,ct,X0,X1),X3)
      | ~ element_of_set(X2,f18(cx,ct,X0,X1))
      | ~ subset_sets(X3,cx)
      | element_of_set(X2,interior(X3,cx,ct))
      | eq_p(X0,X1) ),
    inference(component_clause,[status(thm)],[f17264]) ).

fof(f17267,plain,
    ( ~ sQ0_spl
    | ~ sQ88_spl
    | ~ sQ13_spl
    | sQ866_spl ),
    inference(split_clause,[status(thm)],[f17258,f17264,f1367,f4436,f1093]) ).

fof(f17273,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f291]) ).

fof(f17274,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f15272]) ).

fof(f17275,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f282]) ).

fof(f17276,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f284]) ).

fof(f17277,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f294]) ).

fof(f17278,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f12215]) ).

fof(f17279,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f312]) ).

fof(f17280,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f316]) ).

fof(f17281,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f331]) ).

fof(f17282,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f336]) ).

fof(f17285,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,empty_set)),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f276]) ).

fof(f17287,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f308]) ).

fof(f17288,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f1148]) ).

fof(f17289,plain,
    ! [X0,X1] :
      ( ~ element_of_set(X1,f1(ct,f11(X0,empty_set)))
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f116]) ).

fof(f17292,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),f1(ct,f11(X0,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f3199]) ).

fof(f17293,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_set(X1,union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17289,f6801]) ).

fof(f17296,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | subset_sets(f10(X2,empty_set,X1),empty_set)
      | ~ element_of_set(X1,empty_set)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17293,f164]) ).

fof(f17297,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | element_of_set(X1,f10(X2,empty_set,X1))
      | ~ element_of_set(X1,empty_set)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17293,f162]) ).

fof(f17298,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | element_of_collection(f10(X2,empty_set,X1),X2)
      | ~ element_of_set(X1,empty_set)
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17293,f163]) ).

fof(f17299,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | ~ element_of_set(X1,empty_set)
      | element_of_set(X1,union_of_members(top_of_basis(X2)))
      | element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17293,f116]) ).

fof(f17303,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_collection(f1(ct,X1),ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17293,f114]) ).

fof(f17304,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | element_of_set(X1,f1(ct,X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17293,f113]) ).

fof(f17305,definition,
    ! [X1,X2] :
      ( sQ867_spl
    <=> ( subset_sets(f10(X2,empty_set,X1),empty_set)
        | ~ element_of_set(X1,empty_set) ) ),
    introduced(definition,[new_symbols(definition,[sQ867_spl])],[split_symbol_definition]) ).

fof(f17306,plain,
    ! [X0,X1] :
      ( ~ sQ867_spl
      | subset_sets(f10(X1,empty_set,X0),empty_set)
      | ~ element_of_set(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f17305]) ).

fof(f17308,plain,
    ( ~ sQ88_spl
    | sQ867_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f17296,f6461,f17305,f4436]) ).

fof(f17309,definition,
    ! [X1,X2] :
      ( sQ868_spl
    <=> ( element_of_set(X1,f10(X2,empty_set,X1))
        | ~ element_of_set(X1,empty_set) ) ),
    introduced(definition,[new_symbols(definition,[sQ868_spl])],[split_symbol_definition]) ).

fof(f17310,plain,
    ! [X0,X1] :
      ( ~ sQ868_spl
      | element_of_set(X0,f10(X1,empty_set,X0))
      | ~ element_of_set(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f17309]) ).

fof(f17312,plain,
    ( ~ sQ88_spl
    | sQ868_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f17297,f6461,f17309,f4436]) ).

fof(f17313,definition,
    ! [X1,X2] :
      ( sQ869_spl
    <=> ( element_of_collection(f10(X2,empty_set,X1),X2)
        | ~ element_of_set(X1,empty_set) ) ),
    introduced(definition,[new_symbols(definition,[sQ869_spl])],[split_symbol_definition]) ).

fof(f17314,plain,
    ! [X0,X1] :
      ( ~ sQ869_spl
      | element_of_collection(f10(X1,empty_set,X0),X1)
      | ~ element_of_set(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f17313]) ).

fof(f17316,plain,
    ( ~ sQ88_spl
    | sQ869_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f17298,f6461,f17313,f4436]) ).

fof(f17317,definition,
    ! [X1,X2] :
      ( sQ870_spl
    <=> ( ~ element_of_set(X1,empty_set)
        | element_of_set(X1,union_of_members(top_of_basis(X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ870_spl])],[split_symbol_definition]) ).

fof(f17318,plain,
    ! [X0,X1] :
      ( ~ sQ870_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f17317]) ).

fof(f17320,plain,
    ( ~ sQ88_spl
    | sQ870_spl
    | sQ303_spl ),
    inference(split_clause,[status(thm)],[f17299,f6461,f17317,f4436]) ).

fof(f17324,definition,
    ! [X1] :
      ( sQ871_spl
    <=> element_of_collection(f1(ct,X1),ct) ),
    introduced(definition,[new_symbols(definition,[sQ871_spl])],[split_symbol_definition]) ).

fof(f17325,plain,
    ! [X0] :
      ( ~ sQ871_spl
      | element_of_collection(f1(ct,X0),ct) ),
    inference(component_clause,[status(thm)],[f17324]) ).

fof(f17327,plain,
    ( ~ sQ88_spl
    | sQ871_spl
    | sQ466_spl ),
    inference(split_clause,[status(thm)],[f17303,f11947,f17324,f4436]) ).

fof(f17328,definition,
    ! [X1] :
      ( sQ872_spl
    <=> element_of_set(X1,f1(ct,X1)) ),
    introduced(definition,[new_symbols(definition,[sQ872_spl])],[split_symbol_definition]) ).

fof(f17329,plain,
    ! [X0] :
      ( ~ sQ872_spl
      | element_of_set(X0,f1(ct,X0)) ),
    inference(component_clause,[status(thm)],[f17328]) ).

fof(f17331,plain,
    ( ~ sQ88_spl
    | sQ872_spl
    | sQ466_spl ),
    inference(split_clause,[status(thm)],[f17304,f11947,f17328,f4436]) ).

fof(f17332,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ element_of_set(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
      | ~ subset_sets(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X0),X2)
      | element_of_set(X5,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X0),X2,X3))
      | element_of_collection(interior(X1,X2,X3),top_of_basis(X4))
      | element_of_set(X0,closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f12206]) ).

fof(f17333,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ70_spl
      | ~ element_of_set(X1,cx)
      | ~ subset_sets(f14(cx,cx,ct,X0),cx)
      | element_of_set(X1,interior(f14(cx,cx,ct,X0),cx,ct))
      | element_of_set(X0,closure(cx,cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3172]) ).

fof(f17334,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ70_spl
      | ~ element_of_set(X1,empty_set)
      | ~ subset_sets(f14(empty_set,cx,ct,X0),cx)
      | element_of_set(X1,interior(f14(empty_set,cx,ct,X0),cx,ct))
      | element_of_set(X0,closure(empty_set,cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3164]) ).

fof(f17335,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ70_spl
      | ~ element_of_set(X2,f1(ct,f11(X1,union_of_members(ct))))
      | ~ subset_sets(f14(f1(ct,f11(X1,union_of_members(ct))),cx,ct,X0),cx)
      | element_of_set(X2,interior(f14(f1(ct,f11(X1,union_of_members(ct))),cx,ct,X0),cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,closure(f1(ct,f11(X1,union_of_members(ct))),cx,ct)) ),
    inference(resolution,[status(thm)],[f4272,f3483]) ).

fof(f17341,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ88_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,f1(ct,f11(X0,empty_set))))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6838,f14353]) ).

fof(f17342,definition,
    ! [X0,X1] :
      ( sQ873_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,empty_set,f1(ct,f11(X0,empty_set))))
        | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ873_spl])],[split_symbol_definition]) ).

fof(f17343,plain,
    ! [X0,X1] :
      ( ~ sQ873_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,f1(ct,f11(X0,empty_set))))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f17342]) ).

fof(f17345,plain,
    ( ~ sQ5_spl
    | ~ sQ88_spl
    | ~ sQ14_spl
    | sQ873_spl ),
    inference(split_clause,[status(thm)],[f17341,f17342,f2319,f4436,f1114]) ).

fof(f17346,plain,
    ! [X0,X1] :
      ( ~ sQ873_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,f1(ct,f11(X0,empty_set))))
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17343,f3201]) ).

fof(f17348,plain,
    ! [X0] :
      ( element_of_set(f11(X0,empty_set),f1(ct,f11(X0,empty_set)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2482,f113]) ).

fof(f17349,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | ~ sQ303_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | neighborhood(f1(ct,f11(X1,union_of_members(ct))),f11(X0,intersection_of_members(ct)),cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6877,f9558]) ).

fof(f17350,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6877,f1149]) ).

fof(f17351,plain,
    ( ~ sQ303_spl
    | sQ317_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f17350,f4709,f6885,f6461]) ).

fof(f17352,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ860_spl
      | element_of_set(X2,f6(cx,ct,X2,cx,f16(X0,X1,cx,ct)))
      | ~ element_of_collection(f16(X0,X1,cx,ct),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(X2,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17092,f14353]) ).

fof(f17353,definition,
    ! [X0,X1,X2] :
      ( sQ874_spl
    <=> ( element_of_set(X2,f6(cx,ct,X2,cx,f16(X0,X1,cx,ct)))
        | ~ element_of_collection(f16(X0,X1,cx,ct),ct)
        | ~ element_of_set(X2,cx)
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ874_spl])],[split_symbol_definition]) ).

fof(f17354,plain,
    ! [X0,X1,X2] :
      ( ~ sQ874_spl
      | element_of_set(X2,f6(cx,ct,X2,cx,f16(X0,X1,cx,ct)))
      | ~ element_of_collection(f16(X0,X1,cx,ct),ct)
      | ~ element_of_set(X2,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f17353]) ).

fof(f17356,plain,
    ( ~ sQ5_spl
    | ~ sQ860_spl
    | ~ sQ15_spl
    | sQ874_spl ),
    inference(split_clause,[status(thm)],[f17352,f17353,f2322,f17091,f1114]) ).

fof(f17357,plain,
    ! [X0,X1,X2] :
      ( ~ sQ874_spl
      | ~ sQ61_spl
      | element_of_set(X2,f6(cx,ct,X2,cx,f16(X0,X1,cx,ct)))
      | ~ element_of_set(X2,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17354,f16981]) ).

fof(f17358,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ859_spl
      | element_of_set(X2,f6(cx,ct,X2,empty_set,f16(X0,X1,cx,ct)))
      | ~ element_of_collection(f16(X0,X1,cx,ct),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X2,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f17067,f14353]) ).

fof(f17359,definition,
    ! [X0,X1,X2] :
      ( sQ875_spl
    <=> ( element_of_set(X2,f6(cx,ct,X2,empty_set,f16(X0,X1,cx,ct)))
        | ~ element_of_collection(f16(X0,X1,cx,ct),ct)
        | ~ element_of_set(X2,cx)
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ875_spl])],[split_symbol_definition]) ).

fof(f17360,plain,
    ! [X0,X1,X2] :
      ( ~ sQ875_spl
      | element_of_set(X2,f6(cx,ct,X2,empty_set,f16(X0,X1,cx,ct)))
      | ~ element_of_collection(f16(X0,X1,cx,ct),ct)
      | ~ element_of_set(X2,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(component_clause,[status(thm)],[f17359]) ).

fof(f17362,plain,
    ( ~ sQ5_spl
    | ~ sQ859_spl
    | ~ sQ14_spl
    | sQ875_spl ),
    inference(split_clause,[status(thm)],[f17358,f17359,f2319,f17066,f1114]) ).

fof(f17363,plain,
    ! [X0,X1,X2] :
      ( ~ sQ875_spl
      | ~ sQ61_spl
      | element_of_set(X2,f6(cx,ct,X2,empty_set,f16(X0,X1,cx,ct)))
      | ~ element_of_set(X2,cx)
      | limit_point(X0,X1,cx,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17360,f16981]) ).

fof(f17364,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ605_spl
      | element_of_set(X1,f6(cx,ct,X1,intersection_of_sets(cx,cx),f2(ct,X0)))
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f14373,f14353]) ).

fof(f17365,definition,
    ! [X0,X1] :
      ( sQ876_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,intersection_of_sets(cx,cx),f2(ct,X0)))
        | ~ element_of_collection(f2(ct,X0),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ876_spl])],[split_symbol_definition]) ).

fof(f17366,plain,
    ! [X0,X1] :
      ( ~ sQ876_spl
      | element_of_set(X1,f6(cx,ct,X1,intersection_of_sets(cx,cx),f2(ct,X0)))
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17365]) ).

fof(f17368,plain,
    ( ~ sQ5_spl
    | ~ sQ605_spl
    | ~ sQ790_spl
    | sQ876_spl ),
    inference(split_clause,[status(thm)],[f17364,f17365,f16018,f14372,f1114]) ).

fof(f17369,plain,
    ! [X0,X1] :
      ( ~ sQ876_spl
      | element_of_set(X1,f6(cx,ct,X1,intersection_of_sets(cx,cx),f2(ct,X0)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17366,f119]) ).

fof(f17370,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ286_spl
      | element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),cx))
      | ~ element_of_collection(cx,ct)
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5925,f14353]) ).

fof(f17371,definition,
    ! [X0,X1] :
      ( sQ877_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),cx))
        | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ877_spl])],[split_symbol_definition]) ).

fof(f17372,plain,
    ! [X0,X1] :
      ( ~ sQ877_spl
      | element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),cx))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f17371]) ).

fof(f17374,plain,
    ( ~ sQ5_spl
    | ~ sQ286_spl
    | ~ sQ15_spl
    | sQ877_spl ),
    inference(split_clause,[status(thm)],[f17370,f17371,f2322,f5924,f1114]) ).

fof(f17375,plain,
    ! [X0,X1] :
      ( ~ sQ877_spl
      | element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),cx))
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17372,f3201]) ).

fof(f17376,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ285_spl
      | element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),empty_set))
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5896,f14353]) ).

fof(f17377,definition,
    ! [X0,X1] :
      ( sQ878_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),empty_set))
        | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ878_spl])],[split_symbol_definition]) ).

fof(f17378,plain,
    ! [X0,X1] :
      ( ~ sQ878_spl
      | element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),empty_set))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f17377]) ).

fof(f17380,plain,
    ( ~ sQ5_spl
    | ~ sQ285_spl
    | ~ sQ14_spl
    | sQ878_spl ),
    inference(split_clause,[status(thm)],[f17376,f17377,f2319,f5895,f1114]) ).

fof(f17381,plain,
    ! [X0,X1] :
      ( ~ sQ878_spl
      | element_of_set(X1,f6(cx,ct,X1,f1(ct,f11(X0,empty_set)),empty_set))
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17378,f3201]) ).

fof(f17382,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ235_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,f1(ct,f11(X0,empty_set))))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5189,f14353]) ).

fof(f17383,plain,
    ( ~ sQ5_spl
    | ~ sQ235_spl
    | ~ sQ14_spl
    | sQ873_spl ),
    inference(split_clause,[status(thm)],[f17382,f17342,f2319,f5188,f1114]) ).

fof(f17384,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ251_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5253,f14353]) ).

fof(f17385,definition,
    ! [X0,X1] :
      ( sQ879_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),cx)))
        | ~ element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ879_spl])],[split_symbol_definition]) ).

fof(f17386,plain,
    ! [X0,X1] :
      ( ~ sQ879_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17385]) ).

fof(f17388,plain,
    ( ~ sQ5_spl
    | ~ sQ251_spl
    | ~ sQ14_spl
    | sQ879_spl ),
    inference(split_clause,[status(thm)],[f17384,f17385,f2319,f5252,f1114]) ).

fof(f17389,plain,
    ! [X0,X1] :
      ( ~ sQ879_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17386,f327]) ).

fof(f17390,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ252_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5257,f14353]) ).

fof(f17391,definition,
    ! [X0,X1] :
      ( sQ880_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ880_spl])],[split_symbol_definition]) ).

fof(f17392,plain,
    ! [X0,X1] :
      ( ~ sQ880_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17391]) ).

fof(f17394,plain,
    ( ~ sQ5_spl
    | ~ sQ252_spl
    | ~ sQ14_spl
    | sQ880_spl ),
    inference(split_clause,[status(thm)],[f17390,f17391,f2319,f5256,f1114]) ).

fof(f17395,plain,
    ! [X0,X1] :
      ( ~ sQ880_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17392,f326]) ).

fof(f17396,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ265_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5309,f14353]) ).

fof(f17397,definition,
    ! [X0,X1] :
      ( sQ881_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ881_spl])],[split_symbol_definition]) ).

fof(f17398,plain,
    ! [X0,X1] :
      ( ~ sQ881_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17397]) ).

fof(f17400,plain,
    ( ~ sQ5_spl
    | ~ sQ265_spl
    | ~ sQ14_spl
    | sQ881_spl ),
    inference(split_clause,[status(thm)],[f17396,f17397,f2319,f5308,f1114]) ).

fof(f17401,plain,
    ! [X0,X1] :
      ( ~ sQ881_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17398,f307]) ).

fof(f17402,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ259_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
      | ~ element_of_collection(empty_set,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5285,f14353]) ).

fof(f17403,definition,
    ! [X0,X1] :
      ( sQ882_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(cx,f2(ct,X0))))
        | ~ element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ882_spl])],[split_symbol_definition]) ).

fof(f17404,plain,
    ! [X0,X1] :
      ( ~ sQ882_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17403]) ).

fof(f17406,plain,
    ( ~ sQ5_spl
    | ~ sQ259_spl
    | ~ sQ14_spl
    | sQ882_spl ),
    inference(split_clause,[status(thm)],[f17402,f17403,f2319,f5284,f1114]) ).

fof(f17407,plain,
    ! [X0,X1] :
      ( ~ sQ882_spl
      | element_of_set(X1,f6(cx,ct,X1,empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17404,f306]) ).

fof(f17408,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ199_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,f1(ct,f11(X0,empty_set))))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5045,f14353]) ).

fof(f17409,definition,
    ! [X0,X1] :
      ( sQ883_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,cx,f1(ct,f11(X0,empty_set))))
        | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_collection(empty_set,top_of_basis(X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ883_spl])],[split_symbol_definition]) ).

fof(f17410,plain,
    ! [X0,X1] :
      ( ~ sQ883_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,f1(ct,f11(X0,empty_set))))
      | ~ element_of_collection(f1(ct,f11(X0,empty_set)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(component_clause,[status(thm)],[f17409]) ).

fof(f17412,plain,
    ( ~ sQ5_spl
    | ~ sQ199_spl
    | ~ sQ15_spl
    | sQ883_spl ),
    inference(split_clause,[status(thm)],[f17408,f17409,f2322,f5044,f1114]) ).

fof(f17413,plain,
    ! [X0,X1] :
      ( ~ sQ883_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,f1(ct,f11(X0,empty_set))))
      | ~ element_of_set(X1,cx)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17410,f3201]) ).

fof(f17414,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ214_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),cx)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5105,f14353]) ).

fof(f17415,definition,
    ! [X0,X1] :
      ( sQ884_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),cx)))
        | ~ element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ884_spl])],[split_symbol_definition]) ).

fof(f17416,plain,
    ! [X0,X1] :
      ( ~ sQ884_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),cx)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),cx),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17415]) ).

fof(f17418,plain,
    ( ~ sQ5_spl
    | ~ sQ214_spl
    | ~ sQ15_spl
    | sQ884_spl ),
    inference(split_clause,[status(thm)],[f17414,f17415,f2322,f5104,f1114]) ).

fof(f17419,plain,
    ! [X0,X1] :
      ( ~ sQ884_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),cx)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17416,f327]) ).

fof(f17420,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ215_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5109,f14353]) ).

fof(f17421,definition,
    ! [X0,X1] :
      ( sQ885_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),empty_set)))
        | ~ element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ885_spl])],[split_symbol_definition]) ).

fof(f17422,plain,
    ! [X0,X1] :
      ( ~ sQ885_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17421]) ).

fof(f17424,plain,
    ( ~ sQ5_spl
    | ~ sQ215_spl
    | ~ sQ15_spl
    | sQ885_spl ),
    inference(split_clause,[status(thm)],[f17420,f17421,f2322,f5108,f1114]) ).

fof(f17425,plain,
    ! [X0,X1] :
      ( ~ sQ885_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17422,f326]) ).

fof(f17426,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ222_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5137,f14353]) ).

fof(f17427,definition,
    ! [X0,X1] :
      ( sQ886_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(empty_set,f2(ct,X0))))
        | ~ element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ886_spl])],[split_symbol_definition]) ).

fof(f17428,plain,
    ! [X0,X1] :
      ( ~ sQ886_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17427]) ).

fof(f17430,plain,
    ( ~ sQ5_spl
    | ~ sQ222_spl
    | ~ sQ15_spl
    | sQ886_spl ),
    inference(split_clause,[status(thm)],[f17426,f17427,f2322,f5136,f1114]) ).

fof(f17431,plain,
    ! [X0,X1] :
      ( ~ sQ886_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17428,f307]) ).

fof(f17432,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ229_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(cx,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
      | ~ element_of_collection(cx,ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5165,f14353]) ).

fof(f17433,definition,
    ! [X0,X1] :
      ( sQ887_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(cx,f2(ct,X0))))
        | ~ element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ887_spl])],[split_symbol_definition]) ).

fof(f17434,plain,
    ! [X0,X1] :
      ( ~ sQ887_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(cx,f2(ct,X0))))
      | ~ element_of_collection(intersection_of_sets(cx,f2(ct,X0)),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17433]) ).

fof(f17436,plain,
    ( ~ sQ5_spl
    | ~ sQ229_spl
    | ~ sQ15_spl
    | sQ887_spl ),
    inference(split_clause,[status(thm)],[f17432,f17433,f2322,f5164,f1114]) ).

fof(f17437,plain,
    ! [X0,X1] :
      ( ~ sQ887_spl
      | element_of_set(X1,f6(cx,ct,X1,cx,intersection_of_sets(cx,f2(ct,X0))))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17434,f306]) ).

fof(f17438,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ185_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_collection(intersection_of_sets(empty_set,empty_set),ct)
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f4989,f14353]) ).

fof(f17439,definition,
    ! [X0,X1] :
      ( sQ888_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
        | ~ element_of_collection(f2(ct,X0),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ888_spl])],[split_symbol_definition]) ).

fof(f17440,plain,
    ! [X0,X1] :
      ( ~ sQ888_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17439]) ).

fof(f17442,plain,
    ( ~ sQ5_spl
    | ~ sQ185_spl
    | ~ sQ799_spl
    | sQ888_spl ),
    inference(split_clause,[status(thm)],[f17438,f17439,f16051,f4988,f1114]) ).

fof(f17443,plain,
    ! [X0,X1] :
      ( ~ sQ888_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17440,f119]) ).

fof(f17444,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ186_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | ~ element_of_collection(intersection_of_sets(empty_set,cx),ct)
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f4993,f14353]) ).

fof(f17445,definition,
    ! [X0,X1] :
      ( sQ889_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,cx)))
        | ~ element_of_collection(f2(ct,X0),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ889_spl])],[split_symbol_definition]) ).

fof(f17446,plain,
    ! [X0,X1] :
      ( ~ sQ889_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17445]) ).

fof(f17448,plain,
    ( ~ sQ5_spl
    | ~ sQ186_spl
    | ~ sQ796_spl
    | sQ889_spl ),
    inference(split_clause,[status(thm)],[f17444,f17445,f16040,f4992,f1114]) ).

fof(f17449,plain,
    ! [X0,X1] :
      ( ~ sQ889_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17446,f119]) ).

fof(f17450,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ193_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | ~ element_of_collection(intersection_of_sets(cx,empty_set),ct)
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5021,f14353]) ).

fof(f17451,definition,
    ! [X0,X1] :
      ( sQ890_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,empty_set)))
        | ~ element_of_collection(f2(ct,X0),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ890_spl])],[split_symbol_definition]) ).

fof(f17452,plain,
    ! [X0,X1] :
      ( ~ sQ890_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17451]) ).

fof(f17454,plain,
    ( ~ sQ5_spl
    | ~ sQ193_spl
    | ~ sQ793_spl
    | sQ890_spl ),
    inference(split_clause,[status(thm)],[f17450,f17451,f16029,f5020,f1114]) ).

fof(f17455,plain,
    ! [X0,X1] :
      ( ~ sQ890_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17452,f119]) ).

fof(f17456,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ194_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,cx)))
      | ~ element_of_collection(intersection_of_sets(cx,cx),ct)
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f5025,f14353]) ).

fof(f17457,definition,
    ! [X0,X1] :
      ( sQ891_spl
    <=> ( element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,cx)))
        | ~ element_of_collection(f2(ct,X0),ct)
        | ~ element_of_set(X1,cx)
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ891_spl])],[split_symbol_definition]) ).

fof(f17458,plain,
    ! [X0,X1] :
      ( ~ sQ891_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,cx)))
      | ~ element_of_collection(f2(ct,X0),ct)
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f17457]) ).

fof(f17460,plain,
    ( ~ sQ5_spl
    | ~ sQ194_spl
    | ~ sQ790_spl
    | sQ891_spl ),
    inference(split_clause,[status(thm)],[f17456,f17457,f16018,f5024,f1114]) ).

fof(f17461,plain,
    ! [X0,X1] :
      ( ~ sQ891_spl
      | element_of_set(X1,f6(cx,ct,X1,f2(ct,X0),intersection_of_sets(cx,cx)))
      | ~ element_of_set(X1,cx)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17458,f119]) ).

fof(f17462,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f291]) ).

fof(f17463,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f12(X4,ct,X5,f2(subspace_topology(X4,ct,X5),X3)),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(subspace_topology(X4,ct,X5)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f15272]) ).

fof(f17464,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f282]) ).

fof(f17465,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f284]) ).

fof(f17466,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f294]) ).

fof(f17467,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f12215]) ).

fof(f17468,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f312]) ).

fof(f17469,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f316]) ).

fof(f17470,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f331]) ).

fof(f17471,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f336]) ).

fof(f17472,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f277]) ).

fof(f17473,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f278]) ).

fof(f17474,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f276]) ).

fof(f17475,plain,
    ! [X0,X1,X2] :
      ( open(intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f3035]) ).

fof(f17476,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f308]) ).

fof(f17477,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f1148]) ).

fof(f17478,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X3,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f116]) ).

fof(f17479,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_collection(f1(ct,f11(X3,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f4407]) ).

fof(f17480,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(f11(X3,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f4396]) ).

fof(f17481,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(ct)),intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15270,f3199]) ).

fof(f17482,definition,
    ! [X0,X1,X2,X4] :
      ( sQ892_spl
    <=> ( element_of_set(X4,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ892_spl])],[split_symbol_definition]) ).

fof(f17483,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ892_spl
      | element_of_set(X3,intersection_of_sets(empty_set,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f17482]) ).

fof(f17485,plain,
    ( sQ369_spl
    | sQ892_spl ),
    inference(split_clause,[status(thm)],[f17479,f17482,f7936]) ).

fof(f17486,plain,
    ( sQ115_spl
    | sQ892_spl ),
    inference(split_clause,[status(thm)],[f17480,f17482,f4709]) ).

fof(f17487,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f291]) ).

fof(f17488,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f12(X4,ct,X5,f2(subspace_topology(X4,ct,X5),X3)),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(subspace_topology(X4,ct,X5)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f15272]) ).

fof(f17489,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f282]) ).

fof(f17490,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f284]) ).

fof(f17491,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f294]) ).

fof(f17492,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f13(X3,X4,ct,f11(X5,interior(X3,X4,ct))),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(interior(X3,X4,ct),top_of_basis(X5))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f12215]) ).

fof(f17493,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X3)),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f312]) ).

fof(f17494,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X3)),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f316]) ).

fof(f17495,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),empty_set),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f331]) ).

fof(f17496,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),cx),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f336]) ).

fof(f17497,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f277]) ).

fof(f17498,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f278]) ).

fof(f17499,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),X3),ct)
      | ~ element_of_collection(X3,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f276]) ).

fof(f17500,plain,
    ! [X0,X1,X2] :
      ( open(intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),cx,ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f3035]) ).

fof(f17501,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f308]) ).

fof(f17502,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f1148]) ).

fof(f17503,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X3,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f116]) ).

fof(f17504,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_collection(f1(ct,f11(X3,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f4407]) ).

fof(f17505,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(f11(X3,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f4396]) ).

fof(f17506,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | element_of_set(f11(X3,intersection_of_members(ct)),intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15271,f3199]) ).

fof(f17507,definition,
    ! [X0,X1,X2,X4] :
      ( sQ893_spl
    <=> ( element_of_set(X4,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ893_spl])],[split_symbol_definition]) ).

fof(f17508,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ893_spl
      | element_of_set(X3,intersection_of_sets(cx,f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f17507]) ).

fof(f17510,plain,
    ( sQ369_spl
    | sQ893_spl ),
    inference(split_clause,[status(thm)],[f17504,f17507,f7936]) ).

fof(f17511,plain,
    ( sQ115_spl
    | sQ893_spl ),
    inference(split_clause,[status(thm)],[f17505,f17507,f4709]) ).

fof(f17512,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f291]) ).

fof(f17513,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f15272]) ).

fof(f17514,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f282]) ).

fof(f17515,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f284]) ).

fof(f17516,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f294]) ).

fof(f17517,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f13(X4,X5,ct,f11(X6,interior(X4,X5,ct))),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(interior(X4,X5,ct),top_of_basis(X6))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f12215]) ).

fof(f17518,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X4)),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f312]) ).

fof(f17519,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X4)),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f316]) ).

fof(f17520,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),empty_set),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f331]) ).

fof(f17521,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),cx),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f336]) ).

fof(f17522,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f277]) ).

fof(f17523,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f278]) ).

fof(f17524,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),X4),ct)
      | ~ element_of_collection(X4,ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f276]) ).

fof(f17525,plain,
    ! [X0,X1,X2,X3] :
      ( open(intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),cx,ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f3035]) ).

fof(f17526,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f2(ct,X4),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f308]) ).

fof(f17527,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X4,union_of_members(ct))),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f1148]) ).

fof(f17528,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X4,union_of_members(ct))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f116]) ).

fof(f17529,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_collection(f1(ct,f11(X4,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f4407]) ).

fof(f17530,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(f11(X4,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f4396]) ).

fof(f17531,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(ct)),intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15274,f3199]) ).

fof(f17532,definition,
    ! [X0,X1,X2,X3,X5] :
      ( sQ894_spl
    <=> ( element_of_set(X5,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
        | element_of_set(X3,intersection_of_members(ct))
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ894_spl])],[split_symbol_definition]) ).

fof(f17533,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ894_spl
      | element_of_set(X4,intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f17532]) ).

fof(f17535,plain,
    ( sQ369_spl
    | sQ894_spl ),
    inference(split_clause,[status(thm)],[f17529,f17532,f7936]) ).

fof(f17536,plain,
    ( sQ115_spl
    | sQ894_spl ),
    inference(split_clause,[status(thm)],[f17530,f17532,f4709]) ).

fof(f17537,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f291]) ).

fof(f17538,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f15272]) ).

fof(f17539,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f282]) ).

fof(f17540,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f284]) ).

fof(f17541,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f294]) ).

fof(f17542,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f13(X4,X5,ct,f11(X6,interior(X4,X5,ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(interior(X4,X5,ct),top_of_basis(X6))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f12215]) ).

fof(f17543,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X4)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f312]) ).

fof(f17544,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X4)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f316]) ).

fof(f17545,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),empty_set),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f331]) ).

fof(f17546,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X4),cx),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f336]) ).

fof(f17547,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f277]) ).

fof(f17548,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(cx,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f278]) ).

fof(f17549,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),X4),ct)
      | ~ element_of_collection(X4,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f276]) ).

fof(f17550,plain,
    ! [X0,X1,X2,X3] :
      ( open(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f3035]) ).

fof(f17551,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f2(ct,X4),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f308]) ).

fof(f17552,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X4,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f1148]) ).

fof(f17553,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(X4,union_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f116]) ).

fof(f17554,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_collection(f1(ct,f11(X4,intersection_of_members(ct))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f4407]) ).

fof(f17555,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_set(f11(X4,intersection_of_members(ct)),union_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f4396]) ).

fof(f17556,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15275,f3199]) ).

fof(f17557,definition,
    ! [X0,X1,X2,X3,X5] :
      ( sQ895_spl
    <=> ( element_of_set(X5,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
        | element_of_collection(union_of_members(ct),top_of_basis(X3))
        | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ) ),
    introduced(definition,[new_symbols(definition,[sQ895_spl])],[split_symbol_definition]) ).

fof(f17558,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ895_spl
      | element_of_set(X4,intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))))
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(component_clause,[status(thm)],[f17557]) ).

fof(f17560,plain,
    ( sQ369_spl
    | sQ895_spl ),
    inference(split_clause,[status(thm)],[f17554,f17557,f7936]) ).

fof(f17561,plain,
    ( sQ115_spl
    | sQ895_spl ),
    inference(split_clause,[status(thm)],[f17555,f17557,f4709]) ).

fof(f17563,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_set(f11(X4,intersection_of_members(X2)),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f15304,f12224]) ).

fof(f17564,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),top_of_basis(X4))
      | element_of_set(f11(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2)))),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f15304,f165]) ).

fof(f17566,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(X2)),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f17563]) ).

fof(f17570,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ490_spl
      | subset_sets(f13(X2,X3,subspace_topology(X0,X1,X4),X5),X2)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12239,f181]) ).

fof(f17571,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ490_spl
      | element_of_set(X2,f13(X3,X4,subspace_topology(X0,X1,X5),X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12239,f180]) ).

fof(f17572,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ490_spl
      | open(f13(X2,X3,subspace_topology(X0,X1,X4),X5),X3,subspace_topology(X0,X1,X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12239,f182]) ).

fof(f17573,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ490_spl
      | subset_sets(X2,X3)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12239,f179]) ).

fof(f17574,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ490_spl
      | topological_space(X2,subspace_topology(X0,X1,X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12239,f177]) ).

fof(f17575,plain,
    ( ~ sQ490_spl
    | sQ61_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f17573,f4291,f4237,f12238]) ).

fof(f17580,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X0,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X0,X4),X3)),X2)
      | ~ subset_sets(X3,X0)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f1382]) ).

fof(f17581,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | closed(f14(X3,X0,X4,X2),X0,X4)
      | ~ subset_sets(X3,X0)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f192]) ).

fof(f17582,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | ~ subset_sets(X3,X0)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f208]) ).

fof(f17583,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X3,f14(X3,X0,X4,X2))
      | ~ subset_sets(X3,X0)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f191]) ).

fof(f17587,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(X0,X2),X0)
      | hausdorff(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f221]) ).

fof(f17588,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(X0,X2),X0)
      | hausdorff(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f220]) ).

fof(f17589,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | open_covering(f24(X0,X2),X0,X2)
      | compact_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f263]) ).

fof(f17594,plain,
    ! [X0] :
      ( sQ7_spl
      | ~ sQ71_spl
      | connected_space(f8(cx,ct),X0) ),
    inference(resolution,[status(thm)],[f17224,f1124]) ).

fof(f17595,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f130]) ).

fof(f17596,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f132]) ).

fof(f17597,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f133]) ).

fof(f17598,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f10(X3,X0,X2),X0)
      | ~ element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f164]) ).

fof(f17599,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,f10(X3,X0,X2))
      | ~ element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f162]) ).

fof(f17600,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,X0,X2),X3)
      | ~ element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f163]) ).

fof(f17602,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,X0)
      | subset_sets(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f15280]) ).

fof(f17603,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | equal_sets(X0,intersection_of_sets(X2,f12(X3,X4,X2,X0)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f173]) ).

fof(f17604,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(f12(X2,X3,X4,X0),X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f172]) ).

fof(f17605,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f171]) ).

fof(f17607,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f291]) ).

fof(f17608,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f15272]) ).

fof(f17609,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f282]) ).

fof(f17610,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f284]) ).

fof(f17611,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f294]) ).

fof(f17612,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),X0),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f12215]) ).

fof(f17613,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f312]) ).

fof(f17614,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f316]) ).

fof(f17615,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f331]) ).

fof(f17616,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f336]) ).

fof(f17617,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(empty_set,X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f277]) ).

fof(f17618,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(cx,X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f278]) ).

fof(f17619,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(X0,X2),ct)
      | ~ element_of_collection(X2,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f276]) ).

fof(f17620,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(X0,cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f3035]) ).

fof(f17621,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f308]) ).

fof(f17622,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),X0),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f1148]) ).

fof(f17623,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,X0)
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f116]) ).

fof(f17624,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,X0)
      | element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f4407]) ).

fof(f17625,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,X0)
      | element_of_set(f11(X3,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f4396]) ).

fof(f17626,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f3199]) ).

fof(f17627,definition,
    ! [X0,X1,X4] :
      ( sQ896_spl
    <=> ( element_of_set(X4,X0)
        | connected_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ896_spl])],[split_symbol_definition]) ).

fof(f17628,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f17627]) ).

fof(f17631,plain,
    ( ~ sQ71_spl
    | sQ61_spl
    | sQ896_spl ),
    inference(split_clause,[status(thm)],[f17602,f17627,f4237,f4291]) ).

fof(f17632,plain,
    ( ~ sQ71_spl
    | sQ61_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f17605,f7030,f4237,f4291]) ).

fof(f17634,definition,
    ! [X2,X3] :
      ( sQ897_spl
    <=> ( element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
        | element_of_collection(intersection_of_members(X2),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ897_spl])],[split_symbol_definition]) ).

fof(f17635,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f17634]) ).

fof(f17637,plain,
    ( ~ sQ71_spl
    | sQ897_spl
    | sQ896_spl ),
    inference(split_clause,[status(thm)],[f17624,f17627,f17634,f4291]) ).

fof(f17638,definition,
    ! [X2,X3] :
      ( sQ898_spl
    <=> ( element_of_set(f11(X3,intersection_of_members(X2)),union_of_members(X2))
        | element_of_collection(intersection_of_members(X2),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ898_spl])],[split_symbol_definition]) ).

fof(f17639,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f17638]) ).

fof(f17641,plain,
    ( ~ sQ71_spl
    | sQ898_spl
    | sQ896_spl ),
    inference(split_clause,[status(thm)],[f17625,f17627,f17638,f4291]) ).

fof(f17642,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f7244]) ).

fof(f17643,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f7053]) ).

fof(f17644,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_space(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f17628,f15276]) ).

fof(f17645,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | element_of_set(X5,interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17628,f15304]) ).

fof(f17646,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | element_of_set(X5,union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17628,f12221]) ).

fof(f17647,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17628,f12205]) ).

fof(f17648,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | element_of_set(X3,X2)
      | ~ element_of_collection(X2,X0)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f118]) ).

fof(f17649,plain,
    ! [X0,X1] :
      ( ~ sQ382_spl
      | ~ sQ896_spl
      | neighborhood(empty_set,X1,cx,ct)
      | connected_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f17628,f9374]) ).

fof(f17650,plain,
    ! [X0,X1] :
      ( ~ sQ896_spl
      | element_of_set(X1,union_of_members(ct))
      | connected_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f17628,f304]) ).

fof(f17651,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f17628,f332]) ).

fof(f17652,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f17628,f337]) ).

fof(f17653,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | eq_p(X5,X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | connected_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(resolution,[status(thm)],[f17628,f210]) ).

fof(f17654,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f17628,f313]) ).

fof(f17655,plain,
    ! [X0,X1] :
      ( ~ sQ896_spl
      | element_of_set(X1,union_of_members(ct))
      | connected_space(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f17628,f300]) ).

fof(f17656,plain,
    ! [X0,X1] :
      ( ~ sQ896_spl
      | element_of_set(X1,union_of_members(ct))
      | connected_space(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f17628,f299]) ).

fof(f17657,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X2,union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f17628,f317]) ).

fof(f17658,plain,
    ! [X0,X1] :
      ( ~ sQ896_spl
      | element_of_set(X1,union_of_members(ct))
      | connected_space(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f17628,f302]) ).

fof(f17659,plain,
    ! [X0,X1] :
      ( ~ sQ896_spl
      | element_of_set(X1,union_of_members(ct))
      | connected_space(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f17628,f303]) ).

fof(f17660,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ5_spl
      | ~ sQ896_spl
      | element_of_set(X3,f6(cx,ct,X3,X0,X1))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | ~ element_of_set(X3,cx)
      | connected_space(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17628,f14353]) ).

fof(f17661,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ sQ896_spl
      | subset_sets(f10(X1,cx,X2),cx)
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f17628,f16924]) ).

fof(f17662,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ sQ896_spl
      | element_of_set(X1,f10(X2,cx,X1))
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f17628,f16671]) ).

fof(f17663,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ sQ896_spl
      | element_of_collection(f10(X1,cx,X2),X1)
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f17628,f16641]) ).

fof(f17664,plain,
    ! [X0,X1] :
      ( ~ sQ383_spl
      | ~ sQ896_spl
      | neighborhood(cx,X1,cx,ct)
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f17628,f9378]) ).

fof(f17665,plain,
    ! [X0,X1] :
      ( ~ sQ896_spl
      | element_of_set(X1,union_of_members(ct))
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f17628,f305]) ).

fof(f17666,plain,
    ! [X0,X1,X2] :
      ( ~ sQ428_spl
      | ~ sQ896_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),X2,cx,ct)
      | connected_space(f1(ct,f11(X0,union_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f17628,f9558]) ).

fof(f17667,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | connected_space(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f17628,f1149]) ).

fof(f17668,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | subset_sets(f13(X0,X1,X2,X4),X0)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f181]) ).

fof(f17669,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f180]) ).

fof(f17670,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f182]) ).

fof(f17671,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f179]) ).

fof(f17673,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | element_of_set(X4,f10(X5,boundary(X0,X1,X2),X4))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f16659]) ).

fof(f17674,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | element_of_collection(f10(X4,boundary(X0,X1,X2),X5),X4)
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f16629]) ).

fof(f17675,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f214]) ).

fof(f17676,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f213]) ).

fof(f17678,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_collection(f1(X0,X2),X0)
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f114]) ).

fof(f17679,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X2,f1(X0,X2))
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f113]) ).

fof(f17680,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ329_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X2,interior(X3,cx,ct))
      | connected_space(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f7364]) ).

fof(f17681,plain,
    ! [X0,X1,X2] :
      ( ~ sQ384_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),X2,cx,ct)
      | connected_space(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f9382]) ).

fof(f17682,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_set(X1,intersection_of_members(X0))
      | connected_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17628,f120]) ).

fof(f17683,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17628,f309]) ).

fof(f17684,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f188]) ).

fof(f17686,definition,
    ! [X0] :
      ( sQ899_spl
    <=> connected_space(empty_set,X0) ),
    introduced(definition,[new_symbols(definition,[sQ899_spl])],[split_symbol_definition]) ).

fof(f17687,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | connected_space(empty_set,X0) ),
    inference(component_clause,[status(thm)],[f17686]) ).

fof(f17689,definition,
    ! [X1] :
      ( sQ900_spl
    <=> neighborhood(empty_set,X1,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ900_spl])],[split_symbol_definition]) ).

fof(f17690,plain,
    ! [X0] :
      ( ~ sQ900_spl
      | neighborhood(empty_set,X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f17689]) ).

fof(f17692,plain,
    ( ~ sQ382_spl
    | ~ sQ896_spl
    | sQ900_spl
    | sQ899_spl ),
    inference(split_clause,[status(thm)],[f17649,f17686,f17689,f17627,f9373]) ).

fof(f17693,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ899_spl ),
    inference(split_clause,[status(thm)],[f17650,f17686,f6461,f17627]) ).

fof(f17694,definition,
    ! [X0,X1] :
      ( sQ901_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | connected_space(intersection_of_sets(f2(ct,X0),empty_set),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ901_spl])],[split_symbol_definition]) ).

fof(f17695,plain,
    ! [X0,X1] :
      ( ~ sQ901_spl
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(component_clause,[status(thm)],[f17694]) ).

fof(f17697,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ901_spl ),
    inference(split_clause,[status(thm)],[f17651,f17694,f6461,f17627]) ).

fof(f17698,definition,
    ! [X0,X1] :
      ( sQ902_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | connected_space(intersection_of_sets(f2(ct,X0),cx),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ902_spl])],[split_symbol_definition]) ).

fof(f17699,plain,
    ! [X0,X1] :
      ( ~ sQ902_spl
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(component_clause,[status(thm)],[f17698]) ).

fof(f17701,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ902_spl ),
    inference(split_clause,[status(thm)],[f17652,f17698,f6461,f17627]) ).

fof(f17702,definition,
    ! [X0,X1] :
      ( sQ903_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | connected_space(intersection_of_sets(cx,f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ903_spl])],[split_symbol_definition]) ).

fof(f17703,plain,
    ! [X0,X1] :
      ( ~ sQ903_spl
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(component_clause,[status(thm)],[f17702]) ).

fof(f17705,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ903_spl ),
    inference(split_clause,[status(thm)],[f17654,f17702,f6461,f17627]) ).

fof(f17706,definition,
    ! [X0] :
      ( sQ904_spl
    <=> connected_space(intersection_of_sets(cx,empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ904_spl])],[split_symbol_definition]) ).

fof(f17707,plain,
    ! [X0] :
      ( ~ sQ904_spl
      | connected_space(intersection_of_sets(cx,empty_set),X0) ),
    inference(component_clause,[status(thm)],[f17706]) ).

fof(f17709,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ904_spl ),
    inference(split_clause,[status(thm)],[f17655,f17706,f6461,f17627]) ).

fof(f17710,definition,
    ! [X0] :
      ( sQ905_spl
    <=> connected_space(intersection_of_sets(cx,cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ905_spl])],[split_symbol_definition]) ).

fof(f17711,plain,
    ! [X0] :
      ( ~ sQ905_spl
      | connected_space(intersection_of_sets(cx,cx),X0) ),
    inference(component_clause,[status(thm)],[f17710]) ).

fof(f17713,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ905_spl ),
    inference(split_clause,[status(thm)],[f17656,f17710,f6461,f17627]) ).

fof(f17714,definition,
    ! [X0,X1] :
      ( sQ906_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | connected_space(intersection_of_sets(empty_set,f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ906_spl])],[split_symbol_definition]) ).

fof(f17715,plain,
    ! [X0,X1] :
      ( ~ sQ906_spl
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(component_clause,[status(thm)],[f17714]) ).

fof(f17717,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ906_spl ),
    inference(split_clause,[status(thm)],[f17657,f17714,f6461,f17627]) ).

fof(f17718,definition,
    ! [X0] :
      ( sQ907_spl
    <=> connected_space(intersection_of_sets(empty_set,cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ907_spl])],[split_symbol_definition]) ).

fof(f17719,plain,
    ! [X0] :
      ( ~ sQ907_spl
      | connected_space(intersection_of_sets(empty_set,cx),X0) ),
    inference(component_clause,[status(thm)],[f17718]) ).

fof(f17721,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ907_spl ),
    inference(split_clause,[status(thm)],[f17658,f17718,f6461,f17627]) ).

fof(f17722,definition,
    ! [X0] :
      ( sQ908_spl
    <=> connected_space(intersection_of_sets(empty_set,empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ908_spl])],[split_symbol_definition]) ).

fof(f17723,plain,
    ! [X0] :
      ( ~ sQ908_spl
      | connected_space(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(component_clause,[status(thm)],[f17722]) ).

fof(f17725,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ908_spl ),
    inference(split_clause,[status(thm)],[f17659,f17722,f6461,f17627]) ).

fof(f17726,definition,
    ! [X0] :
      ( sQ909_spl
    <=> connected_space(cx,X0) ),
    introduced(definition,[new_symbols(definition,[sQ909_spl])],[split_symbol_definition]) ).

fof(f17727,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | connected_space(cx,X0) ),
    inference(component_clause,[status(thm)],[f17726]) ).

fof(f17729,definition,
    ! [X1,X2] :
      ( sQ910_spl
    <=> subset_sets(f10(X1,cx,X2),cx) ),
    introduced(definition,[new_symbols(definition,[sQ910_spl])],[split_symbol_definition]) ).

fof(f17730,plain,
    ! [X0,X1] :
      ( ~ sQ910_spl
      | subset_sets(f10(X0,cx,X1),cx) ),
    inference(component_clause,[status(thm)],[f17729]) ).

fof(f17732,plain,
    ( ~ sQ468_spl
    | ~ sQ896_spl
    | sQ910_spl
    | sQ909_spl ),
    inference(split_clause,[status(thm)],[f17661,f17726,f17729,f17627,f11958]) ).

fof(f17733,definition,
    ! [X1,X2] :
      ( sQ911_spl
    <=> element_of_set(X1,f10(X2,cx,X1)) ),
    introduced(definition,[new_symbols(definition,[sQ911_spl])],[split_symbol_definition]) ).

fof(f17734,plain,
    ! [X0,X1] :
      ( ~ sQ911_spl
      | element_of_set(X0,f10(X1,cx,X0)) ),
    inference(component_clause,[status(thm)],[f17733]) ).

fof(f17736,plain,
    ( ~ sQ468_spl
    | ~ sQ896_spl
    | sQ911_spl
    | sQ909_spl ),
    inference(split_clause,[status(thm)],[f17662,f17726,f17733,f17627,f11958]) ).

fof(f17737,definition,
    ! [X1,X2] :
      ( sQ912_spl
    <=> element_of_collection(f10(X1,cx,X2),X1) ),
    introduced(definition,[new_symbols(definition,[sQ912_spl])],[split_symbol_definition]) ).

fof(f17738,plain,
    ! [X0,X1] :
      ( ~ sQ912_spl
      | element_of_collection(f10(X0,cx,X1),X0) ),
    inference(component_clause,[status(thm)],[f17737]) ).

fof(f17740,plain,
    ( ~ sQ468_spl
    | ~ sQ896_spl
    | sQ912_spl
    | sQ909_spl ),
    inference(split_clause,[status(thm)],[f17663,f17726,f17737,f17627,f11958]) ).

fof(f17741,definition,
    ! [X1] :
      ( sQ913_spl
    <=> neighborhood(cx,X1,cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ913_spl])],[split_symbol_definition]) ).

fof(f17742,plain,
    ! [X0] :
      ( ~ sQ913_spl
      | neighborhood(cx,X0,cx,ct) ),
    inference(component_clause,[status(thm)],[f17741]) ).

fof(f17744,plain,
    ( ~ sQ383_spl
    | ~ sQ896_spl
    | sQ913_spl
    | sQ909_spl ),
    inference(split_clause,[status(thm)],[f17664,f17726,f17741,f17627,f9377]) ).

fof(f17745,plain,
    ( ~ sQ896_spl
    | sQ303_spl
    | sQ909_spl ),
    inference(split_clause,[status(thm)],[f17665,f17726,f6461,f17627]) ).

fof(f17746,definition,
    ! [X0,X1] :
      ( sQ914_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | connected_space(f2(ct,X0),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ914_spl])],[split_symbol_definition]) ).

fof(f17747,plain,
    ! [X0,X1] :
      ( ~ sQ914_spl
      | element_of_set(X0,intersection_of_members(ct))
      | connected_space(f2(ct,X0),X1) ),
    inference(component_clause,[status(thm)],[f17746]) ).

fof(f17749,plain,
    ( ~ sQ329_spl
    | ~ sQ896_spl
    | sQ324_spl
    | sQ914_spl ),
    inference(split_clause,[status(thm)],[f17680,f17746,f7074,f17627,f7363]) ).

fof(f17750,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ subset_collections(X2,X3)
      | ~ topological_space(X0,X3)
      | open_covering(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f258]) ).

fof(f17753,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f7(X0,X2),intersection_of_sets(f8(X0,X2),f9(X0,X2)))
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f160]) ).

fof(f17754,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f8(X0,X2),X2)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f158]) ).

fof(f17755,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f9(X0,X2),X2)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f159]) ).

fof(f17756,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f7(X0,X2),X0)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f157]) ).

fof(f17757,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ subset_collections(X2,X3)
      | open_covering(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17750,f17205]) ).

fof(f17758,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_collection(union_of_members(f24(X0,ct)),ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f6943,f3200]) ).

fof(f17759,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ topological_space(X2,f24(X0,X1))
      | ~ topological_space(X2,X1)
      | finer(X1,f24(X0,X1),X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6943,f152]) ).

fof(f17760,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f19(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f6924,f15276]) ).

fof(f17761,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6924,f15304]) ).

fof(f17762,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6924,f12221]) ).

fof(f17763,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6924,f12205]) ).

fof(f17764,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_members(X0),X1),X2)
      | ~ element_of_collection(X2,X0)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f118]) ).

fof(f17765,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ sQ71_spl
      | neighborhood(empty_set,f19(empty_set,X0),cx,ct)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6924,f9374]) ).

fof(f17766,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(empty_set,X0),union_of_members(ct))
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6924,f304]) ).

fof(f17767,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(f2(ct,X0),empty_set),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f6924,f332]) ).

fof(f17768,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(f2(ct,X0),cx),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f6924,f337]) ).

fof(f17769,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(resolution,[status(thm)],[f6924,f210]) ).

fof(f17770,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(cx,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6924,f313]) ).

fof(f17771,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(cx,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6924,f300]) ).

fof(f17772,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(cx,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f6924,f299]) ).

fof(f17773,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(empty_set,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6924,f317]) ).

fof(f17774,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(empty_set,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f6924,f302]) ).

fof(f17775,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(empty_set,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6924,f303]) ).

fof(f17776,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(cx,ct,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),cx)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6924,f14353]) ).

fof(f17777,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | subset_sets(f10(X1,cx,f19(cx,X0)),cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f16924]) ).

fof(f17778,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_set(f19(cx,X0),f10(X1,cx,f19(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f16671]) ).

fof(f17779,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_collection(f10(X1,cx,f19(cx,X0)),X1)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f16641]) ).

fof(f17780,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ sQ71_spl
      | neighborhood(cx,f19(cx,X0),cx,ct)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f9378]) ).

fof(f17781,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(cx,X0),union_of_members(ct))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f305]) ).

fof(f17782,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | ~ sQ71_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f19(f1(ct,f11(X0,union_of_members(ct))),X1),cx,ct)
      | hausdorff(f1(ct,f11(X0,union_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f6924,f9558]) ).

fof(f17783,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(f1(X0,f11(X1,union_of_members(X0))),X2),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | hausdorff(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f6924,f1149]) ).

fof(f17784,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X0)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f181]) ).

fof(f17785,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f180]) ).

fof(f17786,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f182]) ).

fof(f17787,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f179]) ).

fof(f17788,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f177]) ).

fof(f17789,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_set(f19(boundary(X0,X1,X2),X3),f10(X4,boundary(X0,X1,X2),f19(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f16659]) ).

fof(f17790,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_collection(f10(X4,boundary(X0,X1,X2),f19(boundary(X0,X1,X2),X3)),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f16629]) ).

fof(f17791,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f214]) ).

fof(f17792,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f213]) ).

fof(f17793,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f212]) ).

fof(f17794,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(f1(X0,f19(union_of_members(X0),X1)),X0)
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f114]) ).

fof(f17795,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(union_of_members(X0),X1),f1(X0,f19(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f113]) ).

fof(f17796,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f19(f2(ct,X0),X1),interior(X2,cx,ct))
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f7364]) ).

fof(f17797,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f19(f2(ct,X0),X1),cx,ct)
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f9382]) ).

fof(f17798,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6924,f309]) ).

fof(f17799,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f188]) ).

fof(f17800,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f186]) ).

fof(f17801,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f20(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f6923,f15276]) ).

fof(f17802,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6923,f15304]) ).

fof(f17803,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6923,f12221]) ).

fof(f17804,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6923,f12205]) ).

fof(f17805,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_members(X0),X1),X2)
      | ~ element_of_collection(X2,X0)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f118]) ).

fof(f17806,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ sQ71_spl
      | neighborhood(empty_set,f20(empty_set,X0),cx,ct)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6923,f9374]) ).

fof(f17807,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(empty_set,X0),union_of_members(ct))
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6923,f304]) ).

fof(f17808,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(f2(ct,X0),empty_set),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f6923,f332]) ).

fof(f17809,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(f2(ct,X0),cx),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f6923,f337]) ).

fof(f17810,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(resolution,[status(thm)],[f6923,f210]) ).

fof(f17811,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(cx,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6923,f313]) ).

fof(f17812,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(cx,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6923,f300]) ).

fof(f17813,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(cx,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f6923,f299]) ).

fof(f17814,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(empty_set,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6923,f317]) ).

fof(f17815,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(empty_set,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f6923,f302]) ).

fof(f17816,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(empty_set,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6923,f303]) ).

fof(f17817,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(cx,ct,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),cx)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6923,f14353]) ).

fof(f17818,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | subset_sets(f10(X1,cx,f20(cx,X0)),cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f16924]) ).

fof(f17819,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_set(f20(cx,X0),f10(X1,cx,f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f16671]) ).

fof(f17820,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_collection(f10(X1,cx,f20(cx,X0)),X1)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f16641]) ).

fof(f17821,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ sQ71_spl
      | neighborhood(cx,f20(cx,X0),cx,ct)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f9378]) ).

fof(f17822,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(cx,X0),union_of_members(ct))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f305]) ).

fof(f17823,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | ~ sQ71_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f20(f1(ct,f11(X0,union_of_members(ct))),X1),cx,ct)
      | hausdorff(f1(ct,f11(X0,union_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f6923,f9558]) ).

fof(f17824,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(f1(X0,f11(X1,union_of_members(X0))),X2),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | hausdorff(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f6923,f1149]) ).

fof(f17825,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X0)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f181]) ).

fof(f17826,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f180]) ).

fof(f17827,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f182]) ).

fof(f17828,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f179]) ).

fof(f17829,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f177]) ).

fof(f17830,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_set(f20(boundary(X0,X1,X2),X3),f10(X4,boundary(X0,X1,X2),f20(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f16659]) ).

fof(f17831,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_collection(f10(X4,boundary(X0,X1,X2),f20(boundary(X0,X1,X2),X3)),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f16629]) ).

fof(f17832,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f214]) ).

fof(f17833,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f213]) ).

fof(f17834,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f212]) ).

fof(f17835,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(f1(X0,f20(union_of_members(X0),X1)),X0)
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f114]) ).

fof(f17836,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(union_of_members(X0),X1),f1(X0,f20(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f113]) ).

fof(f17837,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f20(f2(ct,X0),X1),interior(X2,cx,ct))
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f7364]) ).

fof(f17838,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f20(f2(ct,X0),X1),cx,ct)
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f9382]) ).

fof(f17839,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6923,f309]) ).

fof(f17840,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f188]) ).

fof(f17841,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f186]) ).

fof(f17842,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f10(X3,f21(X0,X1),X2),f21(X0,X1))
      | ~ element_of_set(X2,f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f164]) ).

fof(f17843,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,f10(X3,f21(X0,X1),X2))
      | ~ element_of_set(X2,f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f162]) ).

fof(f17844,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,f21(X0,X1),X2),X3)
      | ~ element_of_set(X2,f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f163]) ).

fof(f17846,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,f21(X0,X1))
      | subset_sets(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f15280]) ).

fof(f17847,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | equal_sets(f21(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,f21(X0,X1))))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f173]) ).

fof(f17848,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(f12(X2,X3,X4,f21(X0,X1)),X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f172]) ).

fof(f17851,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f291]) ).

fof(f17852,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f15272]) ).

fof(f17853,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f282]) ).

fof(f17854,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f284]) ).

fof(f17855,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f294]) ).

fof(f17856,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f21(X0,X1)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f12215]) ).

fof(f17857,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f312]) ).

fof(f17858,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f316]) ).

fof(f17859,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f331]) ).

fof(f17860,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f336]) ).

fof(f17861,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(empty_set,f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f277]) ).

fof(f17862,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(cx,f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f278]) ).

fof(f17863,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f21(X0,X1),X2),ct)
      | ~ element_of_collection(X2,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f276]) ).

fof(f17864,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(f21(X0,X1),cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f3035]) ).

fof(f17865,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f308]) ).

fof(f17866,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f21(X0,X1)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f1148]) ).

fof(f17867,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,f21(X0,X1))
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f116]) ).

fof(f17868,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,f21(X0,X1))
      | element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f4407]) ).

fof(f17869,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,f21(X0,X1))
      | element_of_set(f11(X3,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f4396]) ).

fof(f17870,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f3199]) ).

fof(f17871,definition,
    ! [X0,X1,X4] :
      ( sQ915_spl
    <=> ( element_of_set(X4,f21(X0,X1))
        | connected_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ915_spl])],[split_symbol_definition]) ).

fof(f17872,plain,
    ! [X0,X1,X2] :
      ( ~ sQ915_spl
      | element_of_set(X2,f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f17871]) ).

fof(f17875,plain,
    ( ~ sQ71_spl
    | sQ61_spl
    | sQ915_spl ),
    inference(split_clause,[status(thm)],[f17846,f17871,f4237,f4291]) ).

fof(f17878,plain,
    ( ~ sQ71_spl
    | sQ897_spl
    | sQ915_spl ),
    inference(split_clause,[status(thm)],[f17868,f17871,f17634,f4291]) ).

fof(f17879,plain,
    ( ~ sQ71_spl
    | sQ898_spl
    | sQ915_spl ),
    inference(split_clause,[status(thm)],[f17869,f17871,f17638,f4291]) ).

fof(f17880,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f10(X3,f22(X0,X1),X2),f22(X0,X1))
      | ~ element_of_set(X2,f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f164]) ).

fof(f17881,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,f10(X3,f22(X0,X1),X2))
      | ~ element_of_set(X2,f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f162]) ).

fof(f17882,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,f22(X0,X1),X2),X3)
      | ~ element_of_set(X2,f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f163]) ).

fof(f17884,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,f22(X0,X1))
      | subset_sets(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f15280]) ).

fof(f17885,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | equal_sets(f22(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,f22(X0,X1))))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f173]) ).

fof(f17886,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(f12(X2,X3,X4,f22(X0,X1)),X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f172]) ).

fof(f17889,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f291]) ).

fof(f17890,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f15272]) ).

fof(f17891,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f282]) ).

fof(f17892,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f284]) ).

fof(f17893,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f294]) ).

fof(f17894,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f22(X0,X1)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f12215]) ).

fof(f17895,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f312]) ).

fof(f17896,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f316]) ).

fof(f17897,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f331]) ).

fof(f17898,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f336]) ).

fof(f17899,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(empty_set,f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f277]) ).

fof(f17900,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(cx,f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f278]) ).

fof(f17901,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f22(X0,X1),X2),ct)
      | ~ element_of_collection(X2,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f276]) ).

fof(f17902,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(f22(X0,X1),cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f3035]) ).

fof(f17903,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f308]) ).

fof(f17904,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f22(X0,X1)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f1148]) ).

fof(f17905,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,f22(X0,X1))
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f116]) ).

fof(f17906,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,f22(X0,X1))
      | element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f4407]) ).

fof(f17907,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X4,f22(X0,X1))
      | element_of_set(f11(X3,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f4396]) ).

fof(f17908,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f3199]) ).

fof(f17909,definition,
    ! [X0,X1,X4] :
      ( sQ916_spl
    <=> ( element_of_set(X4,f22(X0,X1))
        | connected_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ916_spl])],[split_symbol_definition]) ).

fof(f17910,plain,
    ! [X0,X1,X2] :
      ( ~ sQ916_spl
      | element_of_set(X2,f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f17909]) ).

fof(f17913,plain,
    ( ~ sQ71_spl
    | sQ61_spl
    | sQ916_spl ),
    inference(split_clause,[status(thm)],[f17884,f17909,f4237,f4291]) ).

fof(f17916,plain,
    ( ~ sQ71_spl
    | sQ897_spl
    | sQ916_spl ),
    inference(split_clause,[status(thm)],[f17906,f17909,f17634,f4291]) ).

fof(f17917,plain,
    ( ~ sQ71_spl
    | sQ898_spl
    | sQ916_spl ),
    inference(split_clause,[status(thm)],[f17907,f17909,f17638,f4291]) ).

fof(f17918,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,X0)
      | ~ topological_space(cx,ct)
      | neighborhood(X0,X2,cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17620,f201]) ).

fof(f17919,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ subset_sets(X0,X3)
      | ~ element_of_set(X2,X0)
      | ~ subset_sets(X3,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X2,interior(X3,cx,ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17620,f184]) ).

fof(f17921,definition,
    ! [X0,X1,X2] :
      ( sQ917_spl
    <=> ( ~ element_of_set(X2,X0)
        | neighborhood(X0,X2,cx,ct)
        | connected_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ917_spl])],[split_symbol_definition]) ).

fof(f17922,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ element_of_set(X2,X0)
      | neighborhood(X0,X2,cx,ct)
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f17921]) ).

fof(f17924,plain,
    ( ~ sQ71_spl
    | ~ sQ13_spl
    | sQ917_spl ),
    inference(split_clause,[status(thm)],[f17918,f17921,f1367,f4291]) ).

fof(f17925,definition,
    ! [X0,X1,X2,X3] :
      ( sQ918_spl
    <=> ( ~ subset_sets(X0,X3)
        | ~ element_of_set(X2,X0)
        | ~ subset_sets(X3,cx)
        | element_of_set(X2,interior(X3,cx,ct))
        | connected_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ918_spl])],[split_symbol_definition]) ).

fof(f17926,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ918_spl
      | ~ subset_sets(X0,X3)
      | ~ element_of_set(X2,X0)
      | ~ subset_sets(X3,cx)
      | element_of_set(X2,interior(X3,cx,ct))
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f17925]) ).

fof(f17928,plain,
    ( ~ sQ71_spl
    | ~ sQ13_spl
    | sQ918_spl ),
    inference(split_clause,[status(thm)],[f17919,f17925,f1367,f4291]) ).

fof(f17933,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ489_spl
      | subset_sets(f13(X2,X3,subspace_topology(X1,X4,X0),X5),X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12230,f181]) ).

fof(f17934,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ489_spl
      | element_of_set(X2,f13(X3,X4,subspace_topology(X1,X5,X0),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12230,f180]) ).

fof(f17935,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ489_spl
      | open(f13(X2,X3,subspace_topology(X1,X4,X0),X5),X3,subspace_topology(X1,X4,X0))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12230,f182]) ).

fof(f17936,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ489_spl
      | subset_sets(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12230,f179]) ).

fof(f17937,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ489_spl
      | topological_space(X2,subspace_topology(X1,X3,X0))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12230,f177]) ).

fof(f17938,plain,
    ( ~ sQ489_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f17936,f4237,f12229]) ).

fof(f17939,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,empty_set)),f11(X0,empty_set),cx,ct)
      | connected_space(f1(ct,f11(X0,empty_set)),X1) ),
    inference(resolution,[status(thm)],[f17922,f3202]) ).

fof(f17940,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | neighborhood(union_of_members(ct),f11(X1,empty_set),cx,ct)
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17922,f2482]) ).

fof(f17941,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X3,interior(X0,X1,X2)),cx,ct)
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17922,f13997]) ).

fof(f17942,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(f1(X0,f11(X2,union_of_members(X0))),top_of_basis(X1))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | neighborhood(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),f11(X1,f1(X0,f11(X2,union_of_members(X0)))),cx,ct)
      | connected_space(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),X3) ),
    inference(resolution,[status(thm)],[f17922,f6684]) ).

fof(f17943,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | neighborhood(union_of_members(X0),f11(X2,f1(X0,f11(X3,union_of_members(X0)))),cx,ct)
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f2454]) ).

fof(f17944,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(f2(X0,X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(X0))
      | neighborhood(f1(X0,f11(X1,f2(X0,X2))),f11(X1,f2(X0,X2)),cx,ct)
      | connected_space(f1(X0,f11(X1,f2(X0,X2))),X3) ),
    inference(resolution,[status(thm)],[f17922,f1160]) ).

fof(f17945,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | element_of_set(X3,intersection_of_members(X0))
      | neighborhood(union_of_members(X0),f11(X2,f2(X0,X3)),cx,ct)
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f1131]) ).

fof(f17946,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | neighborhood(f1(X0,f11(X1,union_of_members(X0))),f11(X1,union_of_members(X0)),cx,ct)
      | connected_space(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f17922,f1084]) ).

fof(f17947,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X1))
      | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(empty_set,empty_set)),cx,ct)
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17922,f11891]) ).

fof(f17948,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
      | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(empty_set,cx)),cx,ct)
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17922,f2773]) ).

fof(f17949,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
      | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(cx,empty_set)),cx,ct)
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17922,f2772]) ).

fof(f17950,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
      | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(cx,cx)),cx,ct)
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17922,f2771]) ).

fof(f17951,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X4))
      | neighborhood(closure(X0,X1,X2),f11(X4,boundary(X0,X1,X2)),cx,ct)
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17922,f1085]) ).

fof(f17952,plain,
    ! [X0,X1,X2] :
      ( ~ sQ861_spl
      | ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(interior(X0,cx,ct),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(interior(X0,cx,ct),X1) ),
    inference(resolution,[status(thm)],[f17922,f17101]) ).

fof(f17953,plain,
    ! [X0,X1,X2] :
      ( ~ sQ303_spl
      | ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(f1(ct,X0),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(f1(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f6877]) ).

fof(f17954,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)),f11(X3,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f2(ct,X1)),X2) ),
    inference(resolution,[status(thm)],[f17922,f4077]) ).

fof(f17955,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),f11(X3,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),f1(ct,f11(X1,union_of_members(ct)))),X2) ),
    inference(resolution,[status(thm)],[f17922,f4078]) ).

fof(f17956,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),X1) ),
    inference(resolution,[status(thm)],[f17922,f4079]) ).

fof(f17957,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),X1) ),
    inference(resolution,[status(thm)],[f17922,f4080]) ).

fof(f17958,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | neighborhood(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct)))),f11(X3,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,union_of_members(ct)))),X2) ),
    inference(resolution,[status(thm)],[f17922,f4128]) ).

fof(f17959,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X3))
      | neighborhood(intersection_of_sets(f2(ct,X0),f2(ct,X1)),f11(X3,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f2(ct,X0),f2(ct,X1)),X2) ),
    inference(resolution,[status(thm)],[f17922,f4129]) ).

fof(f17960,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(f2(ct,X0),cx),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f17922,f4148]) ).

fof(f17961,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(f2(ct,X0),empty_set),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f17922,f4149]) ).

fof(f17962,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0) ),
    inference(resolution,[status(thm)],[f17922,f13569]) ).

fof(f17963,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0) ),
    inference(resolution,[status(thm)],[f17922,f13548]) ).

fof(f17964,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0) ),
    inference(resolution,[status(thm)],[f17922,f8555]) ).

fof(f17965,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0) ),
    inference(resolution,[status(thm)],[f17922,f8542]) ).

fof(f17966,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0) ),
    inference(resolution,[status(thm)],[f17922,f8581]) ).

fof(f17967,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0) ),
    inference(resolution,[status(thm)],[f17922,f8568]) ).

fof(f17968,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0) ),
    inference(resolution,[status(thm)],[f17922,f4105]) ).

fof(f17969,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0) ),
    inference(resolution,[status(thm)],[f17922,f4106]) ).

fof(f17970,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,f1(ct,f11(X0,union_of_members(ct)))),X1) ),
    inference(resolution,[status(thm)],[f17922,f4153]) ).

fof(f17971,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(cx,f2(ct,X0)),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f17922,f4183]) ).

fof(f17972,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4169]) ).

fof(f17973,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4170]) ).

fof(f17974,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4176]) ).

fof(f17975,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4177]) ).

fof(f17976,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(cx,cx),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f17922,f4184]) ).

fof(f17977,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(cx,empty_set),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f17922,f4185]) ).

fof(f17978,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),f11(X2,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,f1(ct,f11(X0,union_of_members(ct)))),X1) ),
    inference(resolution,[status(thm)],[f17922,f4189]) ).

fof(f17979,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4206]) ).

fof(f17980,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4207]) ).

fof(f17981,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4213]) ).

fof(f17982,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0) ),
    inference(resolution,[status(thm)],[f17922,f4219]) ).

fof(f17983,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(empty_set,cx),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f17922,f4220]) ).

fof(f17984,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(intersection_of_sets(empty_set,empty_set),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f17922,f4221]) ).

fof(f17985,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(cx,f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f17922,f7114]) ).

fof(f17986,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(empty_set,f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f17922,f7116]) ).

fof(f17987,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(union_of_members(ct),f11(X1,intersection_of_members(ct)),cx,ct)
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17922,f4352]) ).

fof(f17988,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(X2),top_of_basis(X5))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X5,intersection_of_members(X2)),cx,ct)
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17922,f12224]) ).

fof(f17989,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | neighborhood(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),f11(X5,intersection_of_members(X1)),cx,ct)
      | connected_space(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f17922,f15279]) ).

fof(f17990,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | neighborhood(f1(X0,f11(X1,union_of_members(X0))),f11(X3,intersection_of_members(X0)),cx,ct)
      | connected_space(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f17922,f4071]) ).

fof(f17991,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | neighborhood(f2(X0,X1),f11(X3,intersection_of_members(X0)),cx,ct)
      | connected_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17922,f4076]) ).

fof(f17992,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | neighborhood(union_of_members(X0),f11(X2,intersection_of_members(X0)),cx,ct)
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f6680]) ).

fof(f17993,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | neighborhood(union_of_members(X0),f11(X2,intersection_of_members(X0)),cx,ct)
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f4395]) ).

fof(f17994,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | element_of_collection(X0,top_of_basis(X2))
      | neighborhood(X0,f11(X2,X0),cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17922,f165]) ).

fof(f17995,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ916_spl
      | ~ sQ917_spl
      | connected_space(X0,X1)
      | neighborhood(f22(X0,X1),X3,cx,ct)
      | connected_space(f22(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17922,f17910]) ).

fof(f17996,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ915_spl
      | ~ sQ917_spl
      | connected_space(X0,X1)
      | neighborhood(f21(X0,X1),X3,cx,ct)
      | connected_space(f21(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17922,f17872]) ).

fof(f17998,plain,
    ! [X0,X1,X2] :
      ( ~ sQ117_spl
      | ~ sQ917_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,intersection_of_members(ct))),X2,cx,ct)
      | connected_space(f1(ct,f11(X0,intersection_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f17922,f4717]) ).

fof(f17999,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | neighborhood(f1(top_of_basis(X0),X1),X1,cx,ct)
      | connected_space(f1(top_of_basis(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f17922,f13347]) ).

fof(f18000,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | neighborhood(union_of_members(top_of_basis(X0)),X2,cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f17922,f11776]) ).

fof(f18001,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | topological_space(X1,X2)
      | neighborhood(intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),X6,cx,ct)
      | connected_space(intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),X5) ),
    inference(resolution,[status(thm)],[f17922,f15261]) ).

fof(f18002,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | subset_sets(X3,X1)
      | neighborhood(intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),X6,cx,ct)
      | connected_space(intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),X5) ),
    inference(resolution,[status(thm)],[f17922,f15260]) ).

fof(f18003,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | subset_sets(X2,X0)
      | neighborhood(intersection_of_members(subspace_topology(X0,X1,X2)),X4,cx,ct)
      | connected_space(intersection_of_members(subspace_topology(X0,X1,X2)),X3) ),
    inference(resolution,[status(thm)],[f17922,f3030]) ).

fof(f18004,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | topological_space(X0,X1)
      | neighborhood(intersection_of_members(subspace_topology(X0,X1,X2)),X4,cx,ct)
      | connected_space(intersection_of_members(subspace_topology(X0,X1,X2)),X3) ),
    inference(resolution,[status(thm)],[f17922,f3027]) ).

fof(f18005,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | neighborhood(intersection_of_members(X0),X2,cx,ct)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f4399]) ).

fof(f18006,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | element_of_set(f11(X3,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | neighborhood(intersection_of_members(X0),X2,cx,ct)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17922,f4395]) ).

fof(f18007,definition,
    ! [X0] :
      ( sQ919_spl
    <=> connected_space(union_of_members(ct),X0) ),
    introduced(definition,[new_symbols(definition,[sQ919_spl])],[split_symbol_definition]) ).

fof(f18008,plain,
    ! [X0] :
      ( ~ sQ919_spl
      | connected_space(union_of_members(ct),X0) ),
    inference(component_clause,[status(thm)],[f18007]) ).

fof(f18010,definition,
    ! [X1] :
      ( sQ920_spl
    <=> ( element_of_collection(empty_set,top_of_basis(X1))
        | neighborhood(union_of_members(ct),f11(X1,empty_set),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ920_spl])],[split_symbol_definition]) ).

fof(f18011,plain,
    ! [X0] :
      ( ~ sQ920_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | neighborhood(union_of_members(ct),f11(X0,empty_set),cx,ct) ),
    inference(component_clause,[status(thm)],[f18010]) ).

fof(f18013,plain,
    ( ~ sQ917_spl
    | sQ920_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f17940,f18007,f18010,f17921]) ).

fof(f18014,definition,
    ! [X1] :
      ( sQ921_spl
    <=> ( element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X1))
        | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(empty_set,empty_set)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ921_spl])],[split_symbol_definition]) ).

fof(f18015,plain,
    ! [X0] :
      ( ~ sQ921_spl
      | element_of_collection(intersection_of_sets(empty_set,empty_set),top_of_basis(X0))
      | neighborhood(union_of_members(ct),f11(X0,intersection_of_sets(empty_set,empty_set)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18014]) ).

fof(f18017,plain,
    ( ~ sQ917_spl
    | sQ921_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f17947,f18007,f18014,f17921]) ).

fof(f18018,definition,
    ! [X1] :
      ( sQ922_spl
    <=> ( element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X1))
        | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(empty_set,cx)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ922_spl])],[split_symbol_definition]) ).

fof(f18019,plain,
    ! [X0] :
      ( ~ sQ922_spl
      | element_of_collection(intersection_of_sets(empty_set,cx),top_of_basis(X0))
      | neighborhood(union_of_members(ct),f11(X0,intersection_of_sets(empty_set,cx)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18018]) ).

fof(f18021,plain,
    ( ~ sQ917_spl
    | sQ922_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f17948,f18007,f18018,f17921]) ).

fof(f18022,definition,
    ! [X1] :
      ( sQ923_spl
    <=> ( element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X1))
        | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(cx,empty_set)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ923_spl])],[split_symbol_definition]) ).

fof(f18023,plain,
    ! [X0] :
      ( ~ sQ923_spl
      | element_of_collection(intersection_of_sets(cx,empty_set),top_of_basis(X0))
      | neighborhood(union_of_members(ct),f11(X0,intersection_of_sets(cx,empty_set)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18022]) ).

fof(f18025,plain,
    ( ~ sQ917_spl
    | sQ923_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f17949,f18007,f18022,f17921]) ).

fof(f18026,definition,
    ! [X1] :
      ( sQ924_spl
    <=> ( element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X1))
        | neighborhood(union_of_members(ct),f11(X1,intersection_of_sets(cx,cx)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ924_spl])],[split_symbol_definition]) ).

fof(f18027,plain,
    ! [X0] :
      ( ~ sQ924_spl
      | element_of_collection(intersection_of_sets(cx,cx),top_of_basis(X0))
      | neighborhood(union_of_members(ct),f11(X0,intersection_of_sets(cx,cx)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18026]) ).

fof(f18029,plain,
    ( ~ sQ917_spl
    | sQ924_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f17950,f18007,f18026,f17921]) ).

fof(f18030,definition,
    ! [X0] :
      ( sQ925_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ925_spl])],[split_symbol_definition]) ).

fof(f18031,plain,
    ! [X0] :
      ( ~ sQ925_spl
      | connected_space(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0) ),
    inference(component_clause,[status(thm)],[f18030]) ).

fof(f18033,definition,
    ! [X1] :
      ( sQ926_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ926_spl])],[split_symbol_definition]) ).

fof(f18034,plain,
    ! [X0] :
      ( ~ sQ926_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18033]) ).

fof(f18036,plain,
    ( ~ sQ917_spl
    | sQ926_spl
    | sQ925_spl ),
    inference(split_clause,[status(thm)],[f17962,f18030,f18033,f17921]) ).

fof(f18037,definition,
    ! [X0] :
      ( sQ927_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ927_spl])],[split_symbol_definition]) ).

fof(f18038,plain,
    ! [X0] :
      ( ~ sQ927_spl
      | connected_space(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0) ),
    inference(component_clause,[status(thm)],[f18037]) ).

fof(f18040,definition,
    ! [X1] :
      ( sQ928_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ928_spl])],[split_symbol_definition]) ).

fof(f18041,plain,
    ! [X0] :
      ( ~ sQ928_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18040]) ).

fof(f18043,plain,
    ( ~ sQ917_spl
    | sQ928_spl
    | sQ927_spl ),
    inference(split_clause,[status(thm)],[f17963,f18037,f18040,f17921]) ).

fof(f18044,definition,
    ! [X0] :
      ( sQ929_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ929_spl])],[split_symbol_definition]) ).

fof(f18045,plain,
    ! [X0] :
      ( ~ sQ929_spl
      | connected_space(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0) ),
    inference(component_clause,[status(thm)],[f18044]) ).

fof(f18047,definition,
    ! [X1] :
      ( sQ930_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ930_spl])],[split_symbol_definition]) ).

fof(f18048,plain,
    ! [X0] :
      ( ~ sQ930_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18047]) ).

fof(f18050,plain,
    ( ~ sQ917_spl
    | sQ930_spl
    | sQ929_spl ),
    inference(split_clause,[status(thm)],[f17964,f18044,f18047,f17921]) ).

fof(f18051,definition,
    ! [X0] :
      ( sQ931_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ931_spl])],[split_symbol_definition]) ).

fof(f18052,plain,
    ! [X0] :
      ( ~ sQ931_spl
      | connected_space(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0) ),
    inference(component_clause,[status(thm)],[f18051]) ).

fof(f18054,definition,
    ! [X1] :
      ( sQ932_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ932_spl])],[split_symbol_definition]) ).

fof(f18055,plain,
    ! [X0] :
      ( ~ sQ932_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18054]) ).

fof(f18057,plain,
    ( ~ sQ917_spl
    | sQ932_spl
    | sQ931_spl ),
    inference(split_clause,[status(thm)],[f17965,f18051,f18054,f17921]) ).

fof(f18058,definition,
    ! [X0] :
      ( sQ933_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ933_spl])],[split_symbol_definition]) ).

fof(f18059,plain,
    ! [X0] :
      ( ~ sQ933_spl
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0) ),
    inference(component_clause,[status(thm)],[f18058]) ).

fof(f18061,definition,
    ! [X1] :
      ( sQ934_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ934_spl])],[split_symbol_definition]) ).

fof(f18062,plain,
    ! [X0] :
      ( ~ sQ934_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18061]) ).

fof(f18064,plain,
    ( ~ sQ917_spl
    | sQ934_spl
    | sQ933_spl ),
    inference(split_clause,[status(thm)],[f17966,f18058,f18061,f17921]) ).

fof(f18065,definition,
    ! [X0] :
      ( sQ935_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ935_spl])],[split_symbol_definition]) ).

fof(f18066,plain,
    ! [X0] :
      ( ~ sQ935_spl
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0) ),
    inference(component_clause,[status(thm)],[f18065]) ).

fof(f18068,definition,
    ! [X1] :
      ( sQ936_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ936_spl])],[split_symbol_definition]) ).

fof(f18069,plain,
    ! [X0] :
      ( ~ sQ936_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18068]) ).

fof(f18071,plain,
    ( ~ sQ917_spl
    | sQ936_spl
    | sQ935_spl ),
    inference(split_clause,[status(thm)],[f17967,f18065,f18068,f17921]) ).

fof(f18072,definition,
    ! [X0] :
      ( sQ937_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ937_spl])],[split_symbol_definition]) ).

fof(f18073,plain,
    ! [X0] :
      ( ~ sQ937_spl
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0) ),
    inference(component_clause,[status(thm)],[f18072]) ).

fof(f18075,definition,
    ! [X1] :
      ( sQ938_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ938_spl])],[split_symbol_definition]) ).

fof(f18076,plain,
    ! [X0] :
      ( ~ sQ938_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18075]) ).

fof(f18078,plain,
    ( ~ sQ917_spl
    | sQ938_spl
    | sQ937_spl ),
    inference(split_clause,[status(thm)],[f17968,f18072,f18075,f17921]) ).

fof(f18079,definition,
    ! [X0] :
      ( sQ939_spl
    <=> connected_space(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ939_spl])],[split_symbol_definition]) ).

fof(f18080,plain,
    ! [X0] :
      ( ~ sQ939_spl
      | connected_space(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0) ),
    inference(component_clause,[status(thm)],[f18079]) ).

fof(f18082,definition,
    ! [X1] :
      ( sQ940_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ940_spl])],[split_symbol_definition]) ).

fof(f18083,plain,
    ! [X0] :
      ( ~ sQ940_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18082]) ).

fof(f18085,plain,
    ( ~ sQ917_spl
    | sQ940_spl
    | sQ939_spl ),
    inference(split_clause,[status(thm)],[f17969,f18079,f18082,f17921]) ).

fof(f18086,definition,
    ! [X0] :
      ( sQ941_spl
    <=> connected_space(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ941_spl])],[split_symbol_definition]) ).

fof(f18087,plain,
    ! [X0] :
      ( ~ sQ941_spl
      | connected_space(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0) ),
    inference(component_clause,[status(thm)],[f18086]) ).

fof(f18089,definition,
    ! [X1] :
      ( sQ942_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ942_spl])],[split_symbol_definition]) ).

fof(f18090,plain,
    ! [X0] :
      ( ~ sQ942_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18089]) ).

fof(f18092,plain,
    ( ~ sQ917_spl
    | sQ942_spl
    | sQ941_spl ),
    inference(split_clause,[status(thm)],[f17972,f18086,f18089,f17921]) ).

fof(f18093,definition,
    ! [X0] :
      ( sQ943_spl
    <=> connected_space(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ943_spl])],[split_symbol_definition]) ).

fof(f18094,plain,
    ! [X0] :
      ( ~ sQ943_spl
      | connected_space(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0) ),
    inference(component_clause,[status(thm)],[f18093]) ).

fof(f18096,definition,
    ! [X1] :
      ( sQ944_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ944_spl])],[split_symbol_definition]) ).

fof(f18097,plain,
    ! [X0] :
      ( ~ sQ944_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18096]) ).

fof(f18099,plain,
    ( ~ sQ917_spl
    | sQ944_spl
    | sQ943_spl ),
    inference(split_clause,[status(thm)],[f17973,f18093,f18096,f17921]) ).

fof(f18100,definition,
    ! [X0] :
      ( sQ945_spl
    <=> connected_space(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ945_spl])],[split_symbol_definition]) ).

fof(f18101,plain,
    ! [X0] :
      ( ~ sQ945_spl
      | connected_space(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0) ),
    inference(component_clause,[status(thm)],[f18100]) ).

fof(f18103,definition,
    ! [X1] :
      ( sQ946_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ946_spl])],[split_symbol_definition]) ).

fof(f18104,plain,
    ! [X0] :
      ( ~ sQ946_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18103]) ).

fof(f18106,plain,
    ( ~ sQ917_spl
    | sQ946_spl
    | sQ945_spl ),
    inference(split_clause,[status(thm)],[f17974,f18100,f18103,f17921]) ).

fof(f18107,definition,
    ! [X0] :
      ( sQ947_spl
    <=> connected_space(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ947_spl])],[split_symbol_definition]) ).

fof(f18108,plain,
    ! [X0] :
      ( ~ sQ947_spl
      | connected_space(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0) ),
    inference(component_clause,[status(thm)],[f18107]) ).

fof(f18110,definition,
    ! [X1] :
      ( sQ948_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ948_spl])],[split_symbol_definition]) ).

fof(f18111,plain,
    ! [X0] :
      ( ~ sQ948_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18110]) ).

fof(f18113,plain,
    ( ~ sQ917_spl
    | sQ948_spl
    | sQ947_spl ),
    inference(split_clause,[status(thm)],[f17975,f18107,f18110,f17921]) ).

fof(f18114,definition,
    ! [X1] :
      ( sQ949_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(cx,cx),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ949_spl])],[split_symbol_definition]) ).

fof(f18115,plain,
    ! [X0] :
      ( ~ sQ949_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(cx,cx),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18114]) ).

fof(f18117,plain,
    ( ~ sQ917_spl
    | sQ949_spl
    | sQ905_spl ),
    inference(split_clause,[status(thm)],[f17976,f17710,f18114,f17921]) ).

fof(f18118,definition,
    ! [X1] :
      ( sQ950_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(cx,empty_set),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ950_spl])],[split_symbol_definition]) ).

fof(f18119,plain,
    ! [X0] :
      ( ~ sQ950_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(cx,empty_set),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18118]) ).

fof(f18121,plain,
    ( ~ sQ917_spl
    | sQ950_spl
    | sQ904_spl ),
    inference(split_clause,[status(thm)],[f17977,f17706,f18118,f17921]) ).

fof(f18122,definition,
    ! [X0] :
      ( sQ951_spl
    <=> connected_space(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ951_spl])],[split_symbol_definition]) ).

fof(f18123,plain,
    ! [X0] :
      ( ~ sQ951_spl
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0) ),
    inference(component_clause,[status(thm)],[f18122]) ).

fof(f18125,definition,
    ! [X1] :
      ( sQ952_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ952_spl])],[split_symbol_definition]) ).

fof(f18126,plain,
    ! [X0] :
      ( ~ sQ952_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18125]) ).

fof(f18128,plain,
    ( ~ sQ917_spl
    | sQ952_spl
    | sQ951_spl ),
    inference(split_clause,[status(thm)],[f17979,f18122,f18125,f17921]) ).

fof(f18129,definition,
    ! [X0] :
      ( sQ953_spl
    <=> connected_space(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ953_spl])],[split_symbol_definition]) ).

fof(f18130,plain,
    ! [X0] :
      ( ~ sQ953_spl
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0) ),
    inference(component_clause,[status(thm)],[f18129]) ).

fof(f18132,definition,
    ! [X1] :
      ( sQ954_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ954_spl])],[split_symbol_definition]) ).

fof(f18133,plain,
    ! [X0] :
      ( ~ sQ954_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18132]) ).

fof(f18135,plain,
    ( ~ sQ917_spl
    | sQ954_spl
    | sQ953_spl ),
    inference(split_clause,[status(thm)],[f17980,f18129,f18132,f17921]) ).

fof(f18136,definition,
    ! [X0] :
      ( sQ955_spl
    <=> connected_space(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ955_spl])],[split_symbol_definition]) ).

fof(f18137,plain,
    ! [X0] :
      ( ~ sQ955_spl
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0) ),
    inference(component_clause,[status(thm)],[f18136]) ).

fof(f18139,definition,
    ! [X1] :
      ( sQ956_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ956_spl])],[split_symbol_definition]) ).

fof(f18140,plain,
    ! [X0] :
      ( ~ sQ956_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18139]) ).

fof(f18142,plain,
    ( ~ sQ917_spl
    | sQ956_spl
    | sQ955_spl ),
    inference(split_clause,[status(thm)],[f17981,f18136,f18139,f17921]) ).

fof(f18143,definition,
    ! [X0] :
      ( sQ957_spl
    <=> connected_space(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0) ),
    introduced(definition,[new_symbols(definition,[sQ957_spl])],[split_symbol_definition]) ).

fof(f18144,plain,
    ! [X0] :
      ( ~ sQ957_spl
      | connected_space(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0) ),
    inference(component_clause,[status(thm)],[f18143]) ).

fof(f18146,definition,
    ! [X1] :
      ( sQ958_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ958_spl])],[split_symbol_definition]) ).

fof(f18147,plain,
    ! [X0] :
      ( ~ sQ958_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18146]) ).

fof(f18149,plain,
    ( ~ sQ917_spl
    | sQ958_spl
    | sQ957_spl ),
    inference(split_clause,[status(thm)],[f17982,f18143,f18146,f17921]) ).

fof(f18150,definition,
    ! [X1] :
      ( sQ959_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(empty_set,cx),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ959_spl])],[split_symbol_definition]) ).

fof(f18151,plain,
    ! [X0] :
      ( ~ sQ959_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(empty_set,cx),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18150]) ).

fof(f18153,plain,
    ( ~ sQ917_spl
    | sQ959_spl
    | sQ907_spl ),
    inference(split_clause,[status(thm)],[f17983,f17718,f18150,f17921]) ).

fof(f18154,definition,
    ! [X1] :
      ( sQ960_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(intersection_of_sets(empty_set,empty_set),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ960_spl])],[split_symbol_definition]) ).

fof(f18155,plain,
    ! [X0] :
      ( ~ sQ960_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(intersection_of_sets(empty_set,empty_set),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18154]) ).

fof(f18157,plain,
    ( ~ sQ917_spl
    | sQ960_spl
    | sQ908_spl ),
    inference(split_clause,[status(thm)],[f17984,f17722,f18154,f17921]) ).

fof(f18158,definition,
    ! [X1] :
      ( sQ961_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(cx,f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ961_spl])],[split_symbol_definition]) ).

fof(f18159,plain,
    ! [X0] :
      ( ~ sQ961_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(cx,f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18158]) ).

fof(f18161,plain,
    ( ~ sQ917_spl
    | sQ961_spl
    | sQ909_spl ),
    inference(split_clause,[status(thm)],[f17985,f17726,f18158,f17921]) ).

fof(f18162,definition,
    ! [X1] :
      ( sQ962_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(empty_set,f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ962_spl])],[split_symbol_definition]) ).

fof(f18163,plain,
    ! [X0] :
      ( ~ sQ962_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(empty_set,f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18162]) ).

fof(f18165,plain,
    ( ~ sQ917_spl
    | sQ962_spl
    | sQ899_spl ),
    inference(split_clause,[status(thm)],[f17986,f17686,f18162,f17921]) ).

fof(f18166,definition,
    ! [X1] :
      ( sQ963_spl
    <=> ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
        | neighborhood(union_of_members(ct),f11(X1,intersection_of_members(ct)),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ963_spl])],[split_symbol_definition]) ).

fof(f18167,plain,
    ! [X0] :
      ( ~ sQ963_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | neighborhood(union_of_members(ct),f11(X0,intersection_of_members(ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f18166]) ).

fof(f18169,plain,
    ( ~ sQ917_spl
    | sQ963_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f17987,f18007,f18166,f17921]) ).

fof(f18170,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17639,f114]) ).

fof(f18171,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17639,f113]) ).

fof(f18172,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ898_spl
      | neighborhood(union_of_members(X0),f11(X1,intersection_of_members(X0)),cx,ct)
      | connected_space(union_of_members(X0),X2)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17639,f17922]) ).

fof(f18173,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(f10(X6,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),X2),union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15530,f164]) ).

fof(f18174,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X2,f10(X6,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),X2))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15530,f162]) ).

fof(f18175,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(X6,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),X2),X6)
      | ~ element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15530,f163]) ).

fof(f18176,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X4,subspace_topology(X1,X5,X0),X6)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15530,f116]) ).

fof(f18177,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X1,X6,X0),X7)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15530,f4407]) ).

fof(f18178,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(subspace_topology(X4,subspace_topology(X1,X5,X0),X6)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f15530,f3199]) ).

fof(f18179,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ964_spl
    <=> ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X1,X6,X0),X7)))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ964_spl])],[split_symbol_definition]) ).

fof(f18180,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ964_spl
      | element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f18179]) ).

fof(f18182,plain,
    ( sQ368_spl
    | sQ964_spl ),
    inference(split_clause,[status(thm)],[f18177,f18179,f7926]) ).

fof(f18183,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ964_spl
      | element_of_collection(f1(subspace_topology(X2,subspace_topology(X1,X3,X0),X4),X5),subspace_topology(X2,subspace_topology(X1,X3,X0),X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18180,f114]) ).

fof(f18184,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ964_spl
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18180,f113]) ).

fof(f18185,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ964_spl
      | neighborhood(union_of_members(subspace_topology(X2,subspace_topology(X1,X3,X0),X4)),X6,cx,ct)
      | connected_space(union_of_members(subspace_topology(X2,subspace_topology(X1,X3,X0),X4)),X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18180,f17922]) ).

fof(f18187,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ964_spl
      | neighborhood(f1(subspace_topology(X2,subspace_topology(X1,X3,X0),X4),X5),X5,cx,ct)
      | connected_space(f1(subspace_topology(X2,subspace_topology(X1,X3,X0),X4),X5),X6)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18184,f17922]) ).

fof(f18188,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(f10(X6,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),X2),union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15531,f164]) ).

fof(f18189,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X2,f10(X6,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),X2))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15531,f162]) ).

fof(f18190,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(X6,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),X2),X6)
      | ~ element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15531,f163]) ).

fof(f18191,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X4,subspace_topology(X0,X1,X5),X6)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15531,f116]) ).

fof(f18192,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X0,X1,X6),X7)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15531,f4407]) ).

fof(f18193,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(subspace_topology(X4,subspace_topology(X0,X1,X5),X6)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15531,f3199]) ).

fof(f18194,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ965_spl
    <=> ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X0,X1,X6),X7)))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ965_spl])],[split_symbol_definition]) ).

fof(f18195,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ965_spl
      | element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f18194]) ).

fof(f18197,plain,
    ( sQ368_spl
    | sQ965_spl ),
    inference(split_clause,[status(thm)],[f18192,f18194,f7926]) ).

fof(f18198,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ965_spl
      | element_of_collection(f1(subspace_topology(X2,subspace_topology(X0,X1,X3),X4),X5),subspace_topology(X2,subspace_topology(X0,X1,X3),X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18195,f114]) ).

fof(f18199,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ965_spl
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18195,f113]) ).

fof(f18200,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ965_spl
      | neighborhood(union_of_members(subspace_topology(X2,subspace_topology(X0,X1,X3),X4)),X6,cx,ct)
      | connected_space(union_of_members(subspace_topology(X2,subspace_topology(X0,X1,X3),X4)),X5)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18195,f17922]) ).

fof(f18202,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ965_spl
      | neighborhood(f1(subspace_topology(X2,subspace_topology(X0,X1,X3),X4),X5),X5,cx,ct)
      | connected_space(f1(subspace_topology(X2,subspace_topology(X0,X1,X3),X4),X5),X6)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18199,f17922]) ).

fof(f18205,plain,
    ! [X0,X1,X2] :
      ( ~ sQ897_spl
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),X2),f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17635,f164]) ).

fof(f18206,plain,
    ! [X0,X1,X2] :
      ( ~ sQ897_spl
      | element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),X2))
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17635,f162]) ).

fof(f18207,plain,
    ! [X0,X1,X2] :
      ( ~ sQ897_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),X2),X0)
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17635,f163]) ).

fof(f18208,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ897_spl
      | element_of_set(X6,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))))
      | topological_space(X1,X2)
      | element_of_collection(intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f17635,f15281]) ).

fof(f18209,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ897_spl
      | element_of_set(X6,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))))
      | subset_sets(X3,X1)
      | element_of_collection(intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f17635,f15280]) ).

fof(f18210,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f17635,f173]) ).

fof(f18211,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))),X1)
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f17635,f172]) ).

fof(f18212,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | subset_sets(X2,X0)
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f17635,f171]) ).

fof(f18213,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | topological_space(X0,X1)
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f17635,f169]) ).

fof(f18214,plain,
    ! [X0] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f291]) ).

fof(f18215,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f15272]) ).

fof(f18216,plain,
    ! [X0] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f282]) ).

fof(f18217,plain,
    ! [X0] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f284]) ).

fof(f18218,plain,
    ! [X0] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f294]) ).

fof(f18219,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f13(X1,X2,ct,f11(X3,interior(X1,X2,ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(interior(X1,X2,ct),top_of_basis(X3))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f12215]) ).

fof(f18220,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f312]) ).

fof(f18221,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f316]) ).

fof(f18222,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f331]) ).

fof(f18223,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f336]) ).

fof(f18226,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,intersection_of_members(ct))),X1),ct)
      | ~ element_of_collection(X1,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f276]) ).

fof(f18228,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f308]) ).

fof(f18229,plain,
    ! [X0,X1] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f17635,f1148]) ).

fof(f18230,plain,
    ! [X0,X1,X2] :
      ( ~ sQ897_spl
      | ~ element_of_set(X2,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17635,f116]) ).

fof(f18231,plain,
    ! [X0,X1,X2] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f17635,f3199]) ).

fof(f18232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | subset_sets(f10(X4,intersection_of_members(subspace_topology(X1,X3,X0)),X2),intersection_of_members(subspace_topology(X1,X3,X0)))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18212,f164]) ).

fof(f18233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_set(X2,f10(X4,intersection_of_members(subspace_topology(X1,X3,X0)),X2))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18212,f162]) ).

fof(f18234,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(f10(X4,intersection_of_members(subspace_topology(X1,X3,X0)),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18212,f163]) ).

fof(f18237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | subset_sets(f10(X2,intersection_of_members(subspace_topology(X1,X3,X0)),X4),intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18232,f3030]) ).

fof(f18238,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_set(X2,f10(X3,intersection_of_members(subspace_topology(X1,X4,X0)),X2))
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18233,f3030]) ).

fof(f18239,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(f10(X2,intersection_of_members(subspace_topology(X1,X3,X0)),X4),X2)
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18234,f3030]) ).

fof(f18240,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | subset_sets(f10(X4,intersection_of_members(subspace_topology(X0,X1,X3)),X2),intersection_of_members(subspace_topology(X0,X1,X3)))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18213,f164]) ).

fof(f18241,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_set(X2,f10(X4,intersection_of_members(subspace_topology(X0,X1,X3)),X2))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18213,f162]) ).

fof(f18242,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(f10(X4,intersection_of_members(subspace_topology(X0,X1,X3)),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18213,f163]) ).

fof(f18243,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18213,f116]) ).

fof(f18245,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | subset_sets(f10(X2,intersection_of_members(subspace_topology(X0,X1,X3)),X4),intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18240,f3027]) ).

fof(f18246,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_set(X2,f10(X3,intersection_of_members(subspace_topology(X0,X1,X4)),X2))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18241,f3027]) ).

fof(f18247,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(f10(X2,intersection_of_members(subspace_topology(X0,X1,X3)),X4),X2)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18242,f3027]) ).

fof(f18248,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ897_spl
      | neighborhood(f10(X2,intersection_of_members(subspace_topology(X1,X3,X0)),X4),X4,cx,ct)
      | connected_space(f10(X2,intersection_of_members(subspace_topology(X1,X3,X0)),X4),X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18238,f17922]) ).

fof(f18249,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ897_spl
      | subset_sets(f10(X3,f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5),X2),f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5))
      | ~ element_of_set(X2,f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f164]) ).

fof(f18250,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ897_spl
      | element_of_set(X2,f10(X3,f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5),X2))
      | ~ element_of_set(X2,f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f162]) ).

fof(f18251,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ897_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),intersection_of_members(subspace_topology(X1,X4,X0)),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f163]) ).

fof(f18252,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ897_spl
      | element_of_set(X4,f10(subspace_topology(X5,subspace_topology(X2,X3,X6),X7),intersection_of_members(subspace_topology(X1,X8,X0)),X9))
      | topological_space(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f15281]) ).

fof(f18253,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ897_spl
      | element_of_set(X4,f10(subspace_topology(X5,subspace_topology(X3,X6,X2),X7),intersection_of_members(subspace_topology(X1,X8,X0)),X9))
      | subset_sets(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f15280]) ).

fof(f18254,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ897_spl
      | equal_sets(f10(subspace_topology(X2,X3,X4),intersection_of_members(subspace_topology(X1,X5,X0)),X6),intersection_of_sets(X4,f12(X2,X3,X4,f10(subspace_topology(X2,X3,X4),intersection_of_members(subspace_topology(X1,X5,X0)),X6))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f173]) ).

fof(f18255,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ897_spl
      | element_of_collection(f12(X2,X3,X4,f10(subspace_topology(X2,X3,X4),intersection_of_members(subspace_topology(X1,X5,X0)),X6)),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f172]) ).

fof(f18256,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | subset_sets(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f171]) ).

fof(f18258,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3)),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f291]) ).

fof(f18259,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f10(ct,intersection_of_members(subspace_topology(X1,X5,X0)),X6)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f15272]) ).

fof(f18260,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3)),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f282]) ).

fof(f18261,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3)),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f284]) ).

fof(f18262,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3)),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f294]) ).

fof(f18263,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f10(ct,intersection_of_members(subspace_topology(X1,X5,X0)),X6)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f12215]) ).

fof(f18264,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f312]) ).

fof(f18265,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f316]) ).

fof(f18266,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f331]) ).

fof(f18267,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f336]) ).

fof(f18268,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(empty_set,f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3)),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f277]) ).

fof(f18269,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(cx,f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3)),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f278]) ).

fof(f18270,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4),X2),ct)
      | ~ element_of_collection(X2,ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f276]) ).

fof(f18271,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | open(f10(ct,intersection_of_members(subspace_topology(X1,X2,X0)),X3),cx,ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f3035]) ).

fof(f18272,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f308]) ).

fof(f18273,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f10(ct,intersection_of_members(subspace_topology(X1,X3,X0)),X4)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f1148]) ).

fof(f18274,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ897_spl
      | ~ element_of_set(X2,f10(X3,intersection_of_members(subspace_topology(X1,X4,X0)),X5))
      | element_of_set(X2,union_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f116]) ).

fof(f18275,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ897_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),f10(X3,intersection_of_members(subspace_topology(X1,X4,X0)),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18239,f3199]) ).

fof(f18276,plain,
    ( ~ sQ897_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f18256,f4237,f17634]) ).

fof(f18278,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | ~ disjoint_s(X2,union_of_members(top_of_basis(X0)))
      | ~ neighborhood(X2,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f18000,f9569]) ).

fof(f18279,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | open(union_of_members(top_of_basis(X0)),cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f18000,f197]) ).

fof(f18280,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | topological_space(cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f18000,f195]) ).

fof(f18282,definition,
    ! [X0,X1,X2] :
      ( sQ966_spl
    <=> ( ~ disjoint_s(X2,union_of_members(top_of_basis(X0)))
        | ~ neighborhood(X2,f19(cx,ct),cx,ct)
        | connected_space(union_of_members(top_of_basis(X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ966_spl])],[split_symbol_definition]) ).

fof(f18283,plain,
    ! [X0,X1,X2] :
      ( ~ sQ966_spl
      | ~ disjoint_s(X2,union_of_members(top_of_basis(X0)))
      | ~ neighborhood(X2,f19(cx,ct),cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(component_clause,[status(thm)],[f18282]) ).

fof(f18285,plain,
    ( ~ sQ437_spl
    | ~ sQ917_spl
    | sQ0_spl
    | sQ966_spl ),
    inference(split_clause,[status(thm)],[f18278,f18282,f1093,f17921,f11775]) ).

fof(f18286,definition,
    ! [X0,X1] :
      ( sQ967_spl
    <=> connected_space(union_of_members(top_of_basis(X0)),X1) ),
    introduced(definition,[new_symbols(definition,[sQ967_spl])],[split_symbol_definition]) ).

fof(f18287,plain,
    ! [X0,X1] :
      ( ~ sQ967_spl
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(component_clause,[status(thm)],[f18286]) ).

fof(f18289,plain,
    ( ~ sQ437_spl
    | ~ sQ917_spl
    | sQ13_spl
    | sQ967_spl ),
    inference(split_clause,[status(thm)],[f18280,f18286,f1367,f17921,f11775]) ).

fof(f18290,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
      | ~ topological_space(cx,ct)
      | neighborhood(union_of_members(top_of_basis(X0)),X2,cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f18279,f201]) ).

fof(f18291,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | ~ subset_sets(union_of_members(top_of_basis(X0)),X3)
      | ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
      | ~ subset_sets(X3,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X2,interior(X3,cx,ct))
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f18279,f184]) ).

fof(f18292,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | ~ sQ917_spl
      | element_of_collection(union_of_members(top_of_basis(X0)),ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f18279,f138]) ).

fof(f18293,definition,
    ! [X0,X1,X2] :
      ( sQ968_spl
    <=> ( ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
        | neighborhood(union_of_members(top_of_basis(X0)),X2,cx,ct)
        | connected_space(union_of_members(top_of_basis(X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ968_spl])],[split_symbol_definition]) ).

fof(f18294,plain,
    ! [X0,X1,X2] :
      ( ~ sQ968_spl
      | ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
      | neighborhood(union_of_members(top_of_basis(X0)),X2,cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(component_clause,[status(thm)],[f18293]) ).

fof(f18296,plain,
    ( ~ sQ437_spl
    | ~ sQ917_spl
    | ~ sQ13_spl
    | sQ968_spl ),
    inference(split_clause,[status(thm)],[f18290,f18293,f1367,f17921,f11775]) ).

fof(f18297,definition,
    ! [X0,X1,X2,X3] :
      ( sQ969_spl
    <=> ( ~ subset_sets(union_of_members(top_of_basis(X0)),X3)
        | ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
        | ~ subset_sets(X3,cx)
        | element_of_set(X2,interior(X3,cx,ct))
        | connected_space(union_of_members(top_of_basis(X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ969_spl])],[split_symbol_definition]) ).

fof(f18298,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ969_spl
      | ~ subset_sets(union_of_members(top_of_basis(X0)),X3)
      | ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
      | ~ subset_sets(X3,cx)
      | element_of_set(X2,interior(X3,cx,ct))
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(component_clause,[status(thm)],[f18297]) ).

fof(f18300,plain,
    ( ~ sQ437_spl
    | ~ sQ917_spl
    | ~ sQ13_spl
    | sQ969_spl ),
    inference(split_clause,[status(thm)],[f18291,f18297,f1367,f17921,f11775]) ).

fof(f18301,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ915_spl
      | subset_sets(f10(X2,f21(X0,X1),X3),f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17842,f17872]) ).

fof(f18302,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ915_spl
      | element_of_set(X2,f10(X3,f21(X0,X1),X2))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17843,f17872]) ).

fof(f18303,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ915_spl
      | element_of_collection(f10(X2,f21(X0,X1),X3),X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17844,f17872]) ).

fof(f18304,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ915_spl
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17867,f17872]) ).

fof(f18305,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ916_spl
      | subset_sets(f10(X2,f22(X0,X1),X3),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17880,f17910]) ).

fof(f18306,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ916_spl
      | element_of_set(X2,f10(X3,f22(X0,X1),X2))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17881,f17910]) ).

fof(f18307,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ916_spl
      | element_of_collection(f10(X2,f22(X0,X1),X3),X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17882,f17910]) ).

fof(f18308,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ916_spl
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17905,f17910]) ).

fof(f18309,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(X0,X2,cx,ct)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f17922,f17628]) ).

fof(f18310,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f7244]) ).

fof(f18311,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f7053]) ).

fof(f18312,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_space(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f17628,f15276]) ).

fof(f18313,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | element_of_set(X5,interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17628,f15304]) ).

fof(f18314,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | element_of_set(X5,union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17628,f12221]) ).

fof(f18315,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f17628,f12205]) ).

fof(f18316,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | element_of_set(X3,X2)
      | ~ element_of_collection(X2,X0)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f118]) ).

fof(f18321,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | eq_p(X5,X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | connected_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(resolution,[status(thm)],[f17628,f210]) ).

fof(f18328,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ5_spl
      | ~ sQ896_spl
      | element_of_set(X3,f6(cx,ct,X3,X0,X1))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | ~ element_of_set(X3,cx)
      | connected_space(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17628,f14353]) ).

fof(f18334,plain,
    ! [X0,X1,X2] :
      ( ~ sQ428_spl
      | ~ sQ896_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),X2,cx,ct)
      | connected_space(f1(ct,f11(X0,union_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f17628,f9558]) ).

fof(f18335,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | connected_space(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f17628,f1149]) ).

fof(f18336,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | subset_sets(f13(X0,X1,X2,X4),X0)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f181]) ).

fof(f18337,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f180]) ).

fof(f18338,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f182]) ).

fof(f18339,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f179]) ).

fof(f18340,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f177]) ).

fof(f18341,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | element_of_set(X4,f10(X5,boundary(X0,X1,X2),X4))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f16659]) ).

fof(f18342,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | element_of_collection(f10(X4,boundary(X0,X1,X2),X5),X4)
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f16629]) ).

fof(f18343,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f214]) ).

fof(f18344,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f213]) ).

fof(f18345,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f212]) ).

fof(f18349,plain,
    ! [X0,X1,X2] :
      ( ~ sQ384_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),X2,cx,ct)
      | connected_space(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f17628,f9382]) ).

fof(f18351,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f17628,f309]) ).

fof(f18352,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | subset_sets(X0,X1)
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f188]) ).

fof(f18353,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f17628,f186]) ).

fof(f18370,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f244,f17205]) ).

fof(f18371,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(X0,X2),X0)
      | hausdorff(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f220]) ).

fof(f18372,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(X0,X2),X0)
      | hausdorff(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f221]) ).

fof(f18377,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X0,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X0,X4),X3)),X2)
      | ~ subset_sets(X3,X0)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f1382]) ).

fof(f18378,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | closed(f14(X3,X0,X4,X2),X0,X4)
      | ~ subset_sets(X3,X0)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f192]) ).

fof(f18379,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | ~ subset_sets(X3,X0)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f208]) ).

fof(f18380,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X3,f14(X3,X0,X4,X2))
      | ~ subset_sets(X3,X0)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f191]) ).

fof(f18384,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | open_covering(f24(X0,X2),X0,X2)
      | compact_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f263]) ).

fof(f18389,plain,
    ! [X0] :
      ( sQ7_spl
      | ~ sQ71_spl
      | connected_space(f8(cx,ct),X0) ),
    inference(resolution,[status(thm)],[f17224,f1124]) ).

fof(f18390,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f130]) ).

fof(f18391,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f132]) ).

fof(f18392,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f133]) ).

fof(f18393,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f10(X3,X0,X2),X0)
      | ~ element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f164]) ).

fof(f18394,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,f10(X3,X0,X2))
      | ~ element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f162]) ).

fof(f18395,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,X0,X2),X3)
      | ~ element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f163]) ).

fof(f18398,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | equal_sets(X0,intersection_of_sets(X2,f12(X3,X4,X2,X0)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f173]) ).

fof(f18402,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f291]) ).

fof(f18403,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f15272]) ).

fof(f18404,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f282]) ).

fof(f18405,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f284]) ).

fof(f18406,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),X0),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f294]) ).

fof(f18407,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),X0),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f12215]) ).

fof(f18408,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f312]) ).

fof(f18409,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f316]) ).

fof(f18410,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f331]) ).

fof(f18411,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f336]) ).

fof(f18414,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(X0,X2),ct)
      | ~ element_of_collection(X2,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f276]) ).

fof(f18416,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f308]) ).

fof(f18417,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),X0),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f1148]) ).

fof(f18418,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,X0)
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f116]) ).

fof(f18419,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f3199]) ).

fof(f18420,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | subset_sets(f10(X2,X0,X3),X0)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18393,f17628]) ).

fof(f18421,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_set(X2,f10(X3,X0,X2))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18394,f17628]) ).

fof(f18422,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_collection(f10(X2,X0,X3),X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18395,f17628]) ).

fof(f18427,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18418,f17628]) ).

fof(f18428,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_set(f19(X1,X2),X1)
      | hausdorff(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f220]) ).

fof(f18429,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_set(f20(X1,X2),X1)
      | hausdorff(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f221]) ).

fof(f18430,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ subset_collections(X3,X2)
      | ~ topological_space(X1,X2)
      | finer(X2,X3,X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f152]) ).

fof(f18432,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ element_of_collection(X2,X3)
      | open(X2,X1,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f140]) ).

fof(f18434,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X1,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X1,X4),X3)),X2)
      | ~ subset_sets(X3,X1)
      | limit_point(X2,X3,X1,X4)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f1382]) ).

fof(f18435,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | closed(f14(X3,X1,X4,X2),X1,X4)
      | ~ subset_sets(X3,X1)
      | element_of_set(X2,closure(X3,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f192]) ).

fof(f18436,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | neighborhood(f16(X2,X3,X1,X4),X2,X1,X4)
      | ~ subset_sets(X3,X1)
      | limit_point(X2,X3,X1,X4)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f208]) ).

fof(f18437,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | subset_sets(X3,f14(X3,X1,X4,X2))
      | ~ subset_sets(X3,X1)
      | element_of_set(X2,closure(X3,X1,X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f191]) ).

fof(f18441,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | open_covering(f24(X1,X2),X1,X2)
      | compact_space(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f263]) ).

fof(f18442,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ485_spl
      | ~ element_of_set(X6,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
      | ~ subset_sets(X0,X3)
      | element_of_set(X6,interior(X0,X3,X4))
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f12206]) ).

fof(f18443,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,cx)
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3172]) ).

fof(f18444,plain,
    ! [X0,X1,X2] :
      ( ~ sQ19_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,empty_set)
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3164]) ).

fof(f18445,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ33_spl
      | ~ sQ485_spl
      | ~ element_of_set(X3,f1(ct,f11(X2,union_of_members(ct))))
      | ~ subset_sets(X0,cx)
      | element_of_set(X3,interior(X0,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f12118,f3483]) ).

fof(f18446,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ subset_collections(X3,X2)
      | finer(X2,X3,X1)
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18430,f12118]) ).

fof(f18450,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | subset_sets(f10(X2,X1,X0),X1)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f164,f12131]) ).

fof(f18451,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ485_spl
      | ~ element_of_set(X6,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
      | ~ subset_sets(X0,X3)
      | element_of_set(X6,interior(X0,X3,X4))
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f12206]) ).

fof(f18452,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,cx)
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f3172]) ).

fof(f18453,plain,
    ! [X0,X1,X2] :
      ( ~ sQ19_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,empty_set)
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f3164]) ).

fof(f18454,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ33_spl
      | ~ sQ485_spl
      | ~ element_of_set(X3,f1(ct,f11(X2,union_of_members(ct))))
      | ~ subset_sets(X0,cx)
      | element_of_set(X3,interior(X0,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f3483]) ).

fof(f18455,plain,
    ! [X0] :
      ( sQ7_spl
      | ~ sQ485_spl
      | subset_sets(X0,f8(cx,ct)) ),
    inference(resolution,[status(thm)],[f12131,f1124]) ).

fof(f18456,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(f3(X1,X2),X2)
      | ~ element_of_collection(X1,X2)
      | ~ element_of_collection(empty_set,X2)
      | ~ equal_sets(union_of_members(X2),X1)
      | topological_space(X1,X2)
      | subset_sets(X0,union_of_members(f5(X1,X2))) ),
    inference(resolution,[status(thm)],[f12131,f130]) ).

fof(f18457,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(f4(X1,X2),X2)
      | ~ element_of_collection(X1,X2)
      | ~ element_of_collection(empty_set,X2)
      | ~ equal_sets(union_of_members(X2),X1)
      | topological_space(X1,X2)
      | subset_sets(X0,union_of_members(f5(X1,X2))) ),
    inference(resolution,[status(thm)],[f12131,f132]) ).

fof(f18458,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | subset_collections(f5(X1,X2),X2)
      | ~ element_of_collection(X1,X2)
      | ~ element_of_collection(empty_set,X2)
      | ~ equal_sets(union_of_members(X2),X1)
      | topological_space(X1,X2)
      | subset_sets(X0,intersection_of_sets(f3(X1,X2),f4(X1,X2))) ),
    inference(resolution,[status(thm)],[f12131,f133]) ).

fof(f18459,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | element_of_set(X2,f10(X3,X1,X2))
      | ~ element_of_set(X2,X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f162]) ).

fof(f18460,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | element_of_collection(f10(X3,X1,X2),X3)
      | ~ element_of_set(X2,X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f163]) ).

fof(f18461,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | element_of_set(X4,X1)
      | topological_space(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f15281]) ).

fof(f18463,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | equal_sets(X1,intersection_of_sets(X2,f12(X3,X4,X2,X1)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f173]) ).

fof(f18464,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | element_of_collection(f12(X2,X3,X4,X1),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f172]) ).

fof(f18465,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | subset_sets(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f171]) ).

fof(f18467,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),X1),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f291]) ).

fof(f18468,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X1),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f15272]) ).

fof(f18469,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),X1),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f282]) ).

fof(f18470,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),X1),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f284]) ).

fof(f18471,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),X1),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f294]) ).

fof(f18472,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),X1),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f12215]) ).

fof(f18473,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),X1),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f312]) ).

fof(f18474,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),X1),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f316]) ).

fof(f18475,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),X1),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f331]) ).

fof(f18476,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),X1),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f336]) ).

fof(f18477,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(empty_set,X1),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f277]) ).

fof(f18478,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(cx,X1),ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f278]) ).

fof(f18479,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(X1,X2),ct)
      | ~ element_of_collection(X2,ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f276]) ).

fof(f18480,plain,
    ! [X0,X1] :
      ( ~ sQ485_spl
      | open(X1,cx,ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f3035]) ).

fof(f18481,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X1),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f308]) ).

fof(f18482,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),X1),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f1148]) ).

fof(f18483,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ element_of_set(X2,X1)
      | element_of_set(X2,union_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f116]) ).

fof(f18484,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12131,f3199]) ).

fof(f18485,definition,
    ! [X0,X1,X4] :
      ( sQ970_spl
    <=> ( element_of_set(X4,X1)
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ970_spl])],[split_symbol_definition]) ).

fof(f18486,plain,
    ! [X0,X1,X2] :
      ( ~ sQ970_spl
      | element_of_set(X2,X1)
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f18485]) ).

fof(f18488,plain,
    ( ~ sQ485_spl
    | sQ71_spl
    | sQ970_spl ),
    inference(split_clause,[status(thm)],[f18461,f18485,f4291,f12117]) ).

fof(f18490,plain,
    ( ~ sQ485_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f18465,f4237,f12117]) ).

fof(f18495,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f7(X0,X2),intersection_of_sets(f8(X0,X2),f9(X0,X2)))
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f160]) ).

fof(f18496,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f8(X0,X2),X2)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f158]) ).

fof(f18497,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f9(X0,X2),X2)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f159]) ).

fof(f18498,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f7(X0,X2),X0)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f157]) ).

fof(f18500,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ915_spl
      | element_of_collection(f1(X2,X3),X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18304,f114]) ).

fof(f18501,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ915_spl
      | element_of_set(X2,f1(X3,X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18304,f113]) ).

fof(f18502,definition,
    ! [X2,X3] :
      ( sQ971_spl
    <=> element_of_collection(f1(X2,X3),X2) ),
    introduced(definition,[new_symbols(definition,[sQ971_spl])],[split_symbol_definition]) ).

fof(f18503,plain,
    ! [X0,X1] :
      ( ~ sQ971_spl
      | element_of_collection(f1(X0,X1),X0) ),
    inference(component_clause,[status(thm)],[f18502]) ).

fof(f18505,plain,
    ( ~ sQ71_spl
    | ~ sQ915_spl
    | sQ971_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18500,f7030,f18502,f17871,f4291]) ).

fof(f18506,definition,
    ! [X2,X3] :
      ( sQ972_spl
    <=> element_of_set(X2,f1(X3,X2)) ),
    introduced(definition,[new_symbols(definition,[sQ972_spl])],[split_symbol_definition]) ).

fof(f18507,plain,
    ! [X0,X1] :
      ( ~ sQ972_spl
      | element_of_set(X0,f1(X1,X0)) ),
    inference(component_clause,[status(thm)],[f18506]) ).

fof(f18509,plain,
    ( ~ sQ71_spl
    | ~ sQ915_spl
    | sQ972_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18501,f7030,f18506,f17871,f4291]) ).

fof(f18510,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ897_spl
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18243,f3027]) ).

fof(f18512,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ485_spl
      | ~ element_of_set(X6,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
      | ~ subset_sets(X1,X3)
      | element_of_set(X6,interior(X1,X3,X4))
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | equal_sets(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f12129,f12206]) ).

fof(f18513,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,cx)
      | ~ subset_sets(X1,cx)
      | element_of_set(X2,interior(X1,cx,ct))
      | equal_sets(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f12129,f3172]) ).

fof(f18514,plain,
    ! [X0,X1,X2] :
      ( ~ sQ19_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,empty_set)
      | ~ subset_sets(X1,cx)
      | element_of_set(X2,interior(X1,cx,ct))
      | equal_sets(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f12129,f3164]) ).

fof(f18515,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ33_spl
      | ~ sQ485_spl
      | ~ element_of_set(X3,f1(ct,f11(X2,union_of_members(ct))))
      | ~ subset_sets(X1,cx)
      | element_of_set(X3,interior(X1,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | equal_sets(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f12129,f3483]) ).

fof(f18516,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ subset_collections(X2,X3)
      | ~ topological_space(X1,X3)
      | open_covering(X2,X1,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12129,f258]) ).

fof(f18519,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_set(f7(X1,X2),intersection_of_sets(f8(X1,X2),f9(X1,X2)))
      | basis(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12129,f160]) ).

fof(f18520,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(f8(X1,X2),X2)
      | basis(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12129,f158]) ).

fof(f18521,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_collection(f9(X1,X2),X2)
      | basis(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12129,f159]) ).

fof(f18522,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | element_of_set(f7(X1,X2),X1)
      | basis(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f12129,f157]) ).

fof(f18523,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ subset_collections(X2,X3)
      | open_covering(X2,X1,X3)
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18516,f12118]) ).

fof(f18524,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_collection(f1(X2,X3),X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18427,f114]) ).

fof(f18525,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_set(X2,f1(X3,X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18427,f113]) ).

fof(f18526,plain,
    ( ~ sQ71_spl
    | ~ sQ896_spl
    | sQ971_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18524,f7030,f18502,f17627,f4291]) ).

fof(f18527,plain,
    ( ~ sQ71_spl
    | ~ sQ896_spl
    | sQ972_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18525,f7030,f18506,f17627,f4291]) ).

fof(f18528,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_collection(union_of_members(f24(X0,ct)),ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f6943,f3200]) ).

fof(f18529,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ topological_space(X2,f24(X0,X1))
      | ~ topological_space(X2,X1)
      | finer(X1,f24(X0,X1),X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6943,f152]) ).

fof(f18530,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f19(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f6924,f15276]) ).

fof(f18531,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6924,f15304]) ).

fof(f18532,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6924,f12221]) ).

fof(f18533,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6924,f12205]) ).

fof(f18534,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_members(X0),X1),X2)
      | ~ element_of_collection(X2,X0)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f118]) ).

fof(f18535,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ sQ71_spl
      | neighborhood(empty_set,f19(empty_set,X0),cx,ct)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6924,f9374]) ).

fof(f18536,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(empty_set,X0),union_of_members(ct))
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6924,f304]) ).

fof(f18537,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(f2(ct,X0),empty_set),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f6924,f332]) ).

fof(f18538,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(f2(ct,X0),cx),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f6924,f337]) ).

fof(f18539,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(resolution,[status(thm)],[f6924,f210]) ).

fof(f18540,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(cx,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6924,f313]) ).

fof(f18541,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(cx,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6924,f300]) ).

fof(f18542,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(cx,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f6924,f299]) ).

fof(f18543,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(empty_set,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6924,f317]) ).

fof(f18544,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(empty_set,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f6924,f302]) ).

fof(f18545,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(empty_set,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6924,f303]) ).

fof(f18546,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ71_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(cx,ct,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),cx)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6924,f14353]) ).

fof(f18547,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | subset_sets(f10(X1,cx,f19(cx,X0)),cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f16924]) ).

fof(f18548,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_set(f19(cx,X0),f10(X1,cx,f19(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f16671]) ).

fof(f18549,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_collection(f10(X1,cx,f19(cx,X0)),X1)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f16641]) ).

fof(f18550,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ sQ71_spl
      | neighborhood(cx,f19(cx,X0),cx,ct)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f9378]) ).

fof(f18551,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f19(cx,X0),union_of_members(ct))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6924,f305]) ).

fof(f18552,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | ~ sQ71_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f19(f1(ct,f11(X0,union_of_members(ct))),X1),cx,ct)
      | hausdorff(f1(ct,f11(X0,union_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f6924,f9558]) ).

fof(f18553,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(f1(X0,f11(X1,union_of_members(X0))),X2),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | hausdorff(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f6924,f1149]) ).

fof(f18554,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X0)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f181]) ).

fof(f18555,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f180]) ).

fof(f18556,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f182]) ).

fof(f18557,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f179]) ).

fof(f18558,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f177]) ).

fof(f18559,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_set(f19(boundary(X0,X1,X2),X3),f10(X4,boundary(X0,X1,X2),f19(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f16659]) ).

fof(f18560,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_collection(f10(X4,boundary(X0,X1,X2),f19(boundary(X0,X1,X2),X3)),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f16629]) ).

fof(f18561,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f214]) ).

fof(f18562,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f213]) ).

fof(f18563,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f212]) ).

fof(f18564,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(f1(X0,f19(union_of_members(X0),X1)),X0)
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f114]) ).

fof(f18565,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f19(union_of_members(X0),X1),f1(X0,f19(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f113]) ).

fof(f18566,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f19(f2(ct,X0),X1),interior(X2,cx,ct))
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f7364]) ).

fof(f18567,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f19(f2(ct,X0),X1),cx,ct)
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6924,f9382]) ).

fof(f18568,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f19(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6924,f309]) ).

fof(f18569,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6924,f188]) ).

fof(f18571,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f20(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f6923,f15276]) ).

fof(f18572,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6923,f15304]) ).

fof(f18573,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),union_of_members(X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6923,f12221]) ).

fof(f18574,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f6923,f12205]) ).

fof(f18575,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_members(X0),X1),X2)
      | ~ element_of_collection(X2,X0)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f118]) ).

fof(f18576,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ sQ71_spl
      | neighborhood(empty_set,f20(empty_set,X0),cx,ct)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6923,f9374]) ).

fof(f18577,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(empty_set,X0),union_of_members(ct))
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f6923,f304]) ).

fof(f18578,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(f2(ct,X0),empty_set),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f6923,f332]) ).

fof(f18579,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(f2(ct,X0),cx),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f6923,f337]) ).

fof(f18580,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(resolution,[status(thm)],[f6923,f210]) ).

fof(f18581,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(cx,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6923,f313]) ).

fof(f18582,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(cx,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6923,f300]) ).

fof(f18583,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(cx,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f6923,f299]) ).

fof(f18584,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(empty_set,f2(ct,X0)),X1),union_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f6923,f317]) ).

fof(f18585,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(empty_set,cx),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f6923,f302]) ).

fof(f18586,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(empty_set,empty_set),X0),union_of_members(ct))
      | hausdorff(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f6923,f303]) ).

fof(f18587,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ71_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(cx,ct,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),cx)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6923,f14353]) ).

fof(f18588,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | subset_sets(f10(X1,cx,f20(cx,X0)),cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f16924]) ).

fof(f18589,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_set(f20(cx,X0),f10(X1,cx,f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f16671]) ).

fof(f18590,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | element_of_collection(f10(X1,cx,f20(cx,X0)),X1)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f16641]) ).

fof(f18591,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ sQ71_spl
      | neighborhood(cx,f20(cx,X0),cx,ct)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f9378]) ).

fof(f18592,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | element_of_set(f20(cx,X0),union_of_members(ct))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f6923,f305]) ).

fof(f18593,plain,
    ! [X0,X1] :
      ( ~ sQ428_spl
      | ~ sQ71_spl
      | element_of_collection(union_of_members(ct),top_of_basis(X0))
      | neighborhood(f1(ct,f11(X0,union_of_members(ct))),f20(f1(ct,f11(X0,union_of_members(ct))),X1),cx,ct)
      | hausdorff(f1(ct,f11(X0,union_of_members(ct))),X1) ),
    inference(resolution,[status(thm)],[f6923,f9558]) ).

fof(f18594,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(f1(X0,f11(X1,union_of_members(X0))),X2),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | hausdorff(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f6923,f1149]) ).

fof(f18595,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X0)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f181]) ).

fof(f18596,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f180]) ).

fof(f18597,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f182]) ).

fof(f18598,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f179]) ).

fof(f18599,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f177]) ).

fof(f18600,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_set(f20(boundary(X0,X1,X2),X3),f10(X4,boundary(X0,X1,X2),f20(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f16659]) ).

fof(f18601,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | element_of_collection(f10(X4,boundary(X0,X1,X2),f20(boundary(X0,X1,X2),X3)),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f16629]) ).

fof(f18602,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f214]) ).

fof(f18603,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f213]) ).

fof(f18604,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f212]) ).

fof(f18605,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(f1(X0,f20(union_of_members(X0),X1)),X0)
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f114]) ).

fof(f18606,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_set(f20(union_of_members(X0),X1),f1(X0,f20(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f113]) ).

fof(f18607,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f20(f2(ct,X0),X1),interior(X2,cx,ct))
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f7364]) ).

fof(f18608,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ71_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f20(f2(ct,X0),X1),cx,ct)
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f6923,f9382]) ).

fof(f18609,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(f20(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f6923,f309]) ).

fof(f18610,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f6923,f188]) ).

fof(f18612,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,f10(X3,f21(X0,X1),X2))
      | ~ element_of_set(X2,f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f162]) ).

fof(f18613,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,f21(X0,X1),X2),X3)
      | ~ element_of_set(X2,f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f163]) ).

fof(f18616,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | equal_sets(f21(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,f21(X0,X1))))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f173]) ).

fof(f18617,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(f12(X2,X3,X4,f21(X0,X1)),X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f172]) ).

fof(f18620,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f291]) ).

fof(f18621,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f15272]) ).

fof(f18622,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f282]) ).

fof(f18623,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f284]) ).

fof(f18624,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f294]) ).

fof(f18625,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f21(X0,X1)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f12215]) ).

fof(f18626,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f312]) ).

fof(f18627,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f316]) ).

fof(f18628,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f331]) ).

fof(f18629,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f336]) ).

fof(f18630,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(empty_set,f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f277]) ).

fof(f18631,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(cx,f21(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f278]) ).

fof(f18632,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f21(X0,X1),X2),ct)
      | ~ element_of_collection(X2,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f276]) ).

fof(f18634,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f308]) ).

fof(f18635,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f21(X0,X1)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f1148]) ).

fof(f18636,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,f21(X0,X1))
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f116]) ).

fof(f18637,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),f21(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f3199]) ).

fof(f18642,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,f10(X3,f22(X0,X1),X2))
      | ~ element_of_set(X2,f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f162]) ).

fof(f18643,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,f22(X0,X1),X2),X3)
      | ~ element_of_set(X2,f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f163]) ).

fof(f18646,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | equal_sets(f22(X0,X1),intersection_of_sets(X2,f12(X3,X4,X2,f22(X0,X1))))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f173]) ).

fof(f18647,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(f12(X2,X3,X4,f22(X0,X1)),X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f172]) ).

fof(f18650,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f291]) ).

fof(f18651,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f15272]) ).

fof(f18652,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f282]) ).

fof(f18653,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f284]) ).

fof(f18654,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f294]) ).

fof(f18655,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f13(X2,X3,ct,f11(X4,interior(X2,X3,ct))),f22(X0,X1)),ct)
      | element_of_collection(interior(X2,X3,ct),top_of_basis(X4))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f12215]) ).

fof(f18656,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f312]) ).

fof(f18657,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f316]) ).

fof(f18658,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f331]) ).

fof(f18659,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f336]) ).

fof(f18660,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(empty_set,f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f277]) ).

fof(f18661,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(cx,f22(X0,X1)),ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f278]) ).

fof(f18662,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f22(X0,X1),X2),ct)
      | ~ element_of_collection(X2,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f276]) ).

fof(f18664,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f308]) ).

fof(f18665,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X2,union_of_members(ct))),f22(X0,X1)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f1148]) ).

fof(f18666,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,f22(X0,X1))
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f116]) ).

fof(f18667,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_members(X3),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(X3)),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f3199]) ).

fof(f18677,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ485_spl
      | ~ element_of_set(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
      | ~ subset_sets(X0,X2)
      | element_of_set(X5,interior(X0,X2,X3))
      | element_of_collection(interior(X1,X2,X3),top_of_basis(X4))
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f18480,f12206]) ).

fof(f18678,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ485_spl
      | ~ element_of_set(X1,cx)
      | ~ subset_sets(X0,cx)
      | element_of_set(X1,interior(X0,cx,ct))
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f18480,f3172]) ).

fof(f18679,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ485_spl
      | ~ element_of_set(X1,empty_set)
      | ~ subset_sets(X0,cx)
      | element_of_set(X1,interior(X0,cx,ct))
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f18480,f3164]) ).

fof(f18680,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | ~ sQ485_spl
      | ~ element_of_set(X2,f1(ct,f11(X1,union_of_members(ct))))
      | ~ subset_sets(X0,cx)
      | element_of_set(X2,interior(X0,cx,ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f18480,f3483]) ).

fof(f18681,plain,
    ! [X0,X1,X2] :
      ( ~ sQ485_spl
      | ~ element_of_set(X2,X1)
      | ~ topological_space(cx,ct)
      | neighborhood(X1,X2,cx,ct)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18480,f201]) ).

fof(f18682,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ485_spl
      | ~ subset_sets(X1,X3)
      | ~ element_of_set(X2,X1)
      | ~ subset_sets(X3,cx)
      | ~ topological_space(cx,ct)
      | element_of_set(X2,interior(X3,cx,ct))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18480,f184]) ).

fof(f18684,definition,
    ! [X0,X1,X2] :
      ( sQ973_spl
    <=> ( ~ element_of_set(X2,X1)
        | neighborhood(X1,X2,cx,ct)
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ973_spl])],[split_symbol_definition]) ).

fof(f18685,plain,
    ! [X0,X1,X2] :
      ( ~ sQ973_spl
      | ~ element_of_set(X2,X1)
      | neighborhood(X1,X2,cx,ct)
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f18684]) ).

fof(f18687,plain,
    ( ~ sQ485_spl
    | ~ sQ13_spl
    | sQ973_spl ),
    inference(split_clause,[status(thm)],[f18681,f18684,f1367,f12117]) ).

fof(f18688,definition,
    ! [X0,X1,X2,X3] :
      ( sQ974_spl
    <=> ( ~ subset_sets(X1,X3)
        | ~ element_of_set(X2,X1)
        | ~ subset_sets(X3,cx)
        | element_of_set(X2,interior(X3,cx,ct))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ974_spl])],[split_symbol_definition]) ).

fof(f18689,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ974_spl
      | ~ subset_sets(X1,X3)
      | ~ element_of_set(X2,X1)
      | ~ subset_sets(X3,cx)
      | element_of_set(X2,interior(X3,cx,ct))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f18688]) ).

fof(f18691,plain,
    ( ~ sQ485_spl
    | ~ sQ13_spl
    | sQ974_spl ),
    inference(split_clause,[status(thm)],[f18682,f18688,f1367,f12117]) ).

fof(f18692,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6922,f252]) ).

fof(f18693,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | equal_sets(union_of_members(f24(X0,X1)),X0)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f6922,f256]) ).

fof(f18698,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18692,f259]) ).

fof(f18700,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(interior(X0,X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f17787,f216]) ).

fof(f18704,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(interior(X2,X0,X1),X3)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17788,f216]) ).

fof(f18708,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(boundary(X2,X0,X1),X3)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17793,f216]) ).

fof(f18712,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(closure(X0,X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f17799,f216]) ).

fof(f18716,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | topological_space(closure(X2,X0,X1),X3)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17800,f216]) ).

fof(f18722,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | connected_space(X2,X4)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6911,f17205]) ).

fof(f18725,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | connected_space(X2,X4)
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f6910,f17205]) ).

fof(f18726,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6909,f6923]) ).

fof(f18727,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6909,f6924]) ).

fof(f18729,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ61_spl
      | connected_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X5)
      | eq_p(X4,X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6909,f17628]) ).

fof(f18730,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ disjoint_s(X3,f16(f20(X0,X1),X2,X0,X1))
      | ~ neighborhood(X3,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f20(X0,X1),X2,X0,X1) ),
    inference(resolution,[status(thm)],[f6949,f9569]) ).

fof(f18732,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6949,f195]) ).

fof(f18733,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X0,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6949,f199]) ).

fof(f18734,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18732,f203]) ).

fof(f18735,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6950,f6923]) ).

fof(f18736,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6950,f6924]) ).

fof(f18737,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6950,f165]) ).

fof(f18738,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | connected_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X5)
      | eq_p(X4,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6950,f17628]) ).

fof(f18742,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18370,f236]) ).

fof(f18743,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ equal_sets(f22(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18370,f230]) ).

fof(f18744,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18370,f228]) ).

fof(f18747,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f20(f2(top_of_basis(X0),X1),X2)),X0) ),
    inference(resolution,[status(thm)],[f16628,f6923]) ).

fof(f18748,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f19(f2(top_of_basis(X0),X1),X2)),X0) ),
    inference(resolution,[status(thm)],[f16628,f6924]) ).

fof(f18749,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f16628,f4076]) ).

fof(f18750,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),X0) ),
    inference(resolution,[status(thm)],[f16628,f165]) ).

fof(f18751,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | connected_space(f2(top_of_basis(X0),X1),X3)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),X2),X0) ),
    inference(resolution,[status(thm)],[f16628,f17628]) ).

fof(f18752,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f18749]) ).

fof(f18753,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_set(f20(f2(top_of_basis(X0),X1),X2),f10(X0,f2(top_of_basis(X0),X1),f20(f2(top_of_basis(X0),X1),X2))) ),
    inference(resolution,[status(thm)],[f16658,f6923]) ).

fof(f18754,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_set(f19(f2(top_of_basis(X0),X1),X2),f10(X0,f2(top_of_basis(X0),X1),f19(f2(top_of_basis(X0),X1),X2))) ),
    inference(resolution,[status(thm)],[f16658,f6924]) ).

fof(f18755,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f2(top_of_basis(X1),X2),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f16658,f4076]) ).

fof(f18756,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X1),X2),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,f2(top_of_basis(X1),X2)),f10(X1,f2(top_of_basis(X1),X2),f11(X0,f2(top_of_basis(X1),X2)))) ),
    inference(resolution,[status(thm)],[f16658,f165]) ).

fof(f18757,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | connected_space(f2(top_of_basis(X1),X2),X3)
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(X0,f10(X1,f2(top_of_basis(X1),X2),X0)) ),
    inference(resolution,[status(thm)],[f16658,f17628]) ).

fof(f18758,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f2(top_of_basis(X1),X2),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f18755]) ).

fof(f18759,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f20(f2(top_of_basis(X0),X1),X2)),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f16911,f6923]) ).

fof(f18760,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f19(f2(top_of_basis(X0),X1),X2)),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f16911,f6924]) ).

fof(f18761,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,intersection_of_members(top_of_basis(X0)))),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f16911,f4076]) ).

fof(f18762,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f16911,f165]) ).

fof(f18763,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | connected_space(f2(top_of_basis(X0),X1),X3)
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),X2),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f16911,f17628]) ).

fof(f18764,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,intersection_of_members(top_of_basis(X0)))),f2(top_of_basis(X0),X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f18761]) ).

fof(f18765,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(relative_complement_sets(X0,X1),X1)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f16941,f188]) ).

fof(f18767,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | ~ separation(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f243,f7031]) ).

fof(f18768,plain,
    ! [X0] :
      ( ~ sQ486_spl
      | ~ subset_collections(ct,X0)
      | open_covering(ct,cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f7491,f12148]) ).

fof(f18769,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ486_spl
      | closed(f14(X1,cx,X2,X0),cx,X2)
      | element_of_set(X0,closure(X1,cx,X2)) ),
    inference(resolution,[status(thm)],[f12148,f6910]) ).

fof(f18770,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(cx,X0)
      | finer(X0,X1,cx) ),
    inference(resolution,[status(thm)],[f12148,f152]) ).

fof(f18771,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | element_of_collection(union_of_members(X0),X1)
      | ~ subset_collections(X0,X1) ),
    inference(resolution,[status(thm)],[f12148,f128]) ).

fof(f18772,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | ~ element_of_collection(X0,X1)
      | open(X0,cx,X1) ),
    inference(resolution,[status(thm)],[f12148,f140]) ).

fof(f18773,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | element_of_collection(intersection_of_sets(X0,X2),X1)
      | ~ element_of_collection(X2,X1)
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f12148,f126]) ).

fof(f18774,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ486_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,X2),X1),top_of_basis(X3))
      | eq_p(f11(X3,intersection_of_sets(f16(X0,X1,cx,X2),X1)),X0)
      | ~ subset_sets(X1,cx)
      | limit_point(X0,X1,cx,X2) ),
    inference(resolution,[status(thm)],[f12148,f1382]) ).

fof(f18775,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | subset_sets(X1,f14(X1,cx,X2,X0))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,closure(X1,cx,X2)) ),
    inference(resolution,[status(thm)],[f12148,f191]) ).

fof(f18776,plain,
    ! [X0] :
      ( ~ sQ486_spl
      | equal_sets(union_of_members(X0),cx) ),
    inference(resolution,[status(thm)],[f12148,f121]) ).

fof(f18777,plain,
    ! [X0] :
      ( ~ sQ486_spl
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f12148,f123]) ).

fof(f18778,plain,
    ! [X0] :
      ( ~ sQ486_spl
      | element_of_collection(cx,X0) ),
    inference(resolution,[status(thm)],[f12148,f124]) ).

fof(f18779,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | ~ subset_collections(X1,X0)
      | finer(X0,X1,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18770,f12148]) ).

fof(f18780,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f129,f18777]) ).

fof(f18781,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f130,f18777]) ).

fof(f18782,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f131,f18777]) ).

fof(f18783,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f132,f18777]) ).

fof(f18784,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f133,f18777]) ).

fof(f18785,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | element_of_set(X0,f10(X1,empty_set,X0))
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f18777,f162]) ).

fof(f18786,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | element_of_collection(f10(X1,empty_set,X0),X1)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f18777,f163]) ).

fof(f18787,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | element_of_set(X2,empty_set)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18777,f15281]) ).

fof(f18788,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | element_of_set(X2,empty_set)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18777,f15280]) ).

fof(f18789,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | equal_sets(empty_set,intersection_of_sets(X0,f12(X1,X2,X0,empty_set))) ),
    inference(resolution,[status(thm)],[f18777,f173]) ).

fof(f18790,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | element_of_collection(f12(X0,X1,X2,empty_set),X1) ),
    inference(resolution,[status(thm)],[f18777,f172]) ).

fof(f18791,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f18777,f171]) ).

fof(f18792,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18777,f169]) ).

fof(f18794,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f18777,f15272]) ).

fof(f18798,plain,
    ! [X0,X1,X2] :
      ( ~ sQ486_spl
      | element_of_collection(intersection_of_sets(f13(X0,X1,ct,f11(X2,interior(X0,X1,ct))),empty_set),ct)
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f18777,f12215]) ).

fof(f18809,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f18777,f116]) ).

fof(f18810,plain,
    ! [X0,X1] :
      ( ~ sQ486_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),empty_set) ),
    inference(resolution,[status(thm)],[f18777,f3199]) ).

fof(f18811,plain,
    ( ~ sQ486_spl
    | sQ269_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f18787,f4291,f5324,f12147]) ).

fof(f18812,plain,
    ( ~ sQ486_spl
    | sQ269_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f18788,f4237,f5324,f12147]) ).

fof(f18814,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ71_spl
      | element_of_set(X0,f6(cx,ct,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2))
      | ~ element_of_collection(X1,ct)
      | ~ element_of_set(X0,cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f14353,f6928]) ).

fof(f18815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X2,f6(X0,X1,X2,X3,X4))
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f154,f6928]) ).

fof(f18816,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X0,X2)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f118,f6928]) ).

fof(f18818,plain,
    ( sQ7_spl
    | ~ sQ71_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f1124,f6928]) ).

fof(f18819,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X0,f10(X2,X1,X0))
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f162,f6928]) ).

fof(f18821,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,X3)
      | subset_sets(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f15280,f6928]) ).

fof(f18823,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | subset_sets(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f171,f6928]) ).

fof(f18824,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f169,f6928]) ).

fof(f18826,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f116,f6928]) ).

fof(f18827,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | ~ sQ71_spl
      | element_of_set(X0,f6(cx,ct,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2))
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18814,f6928]) ).

fof(f18828,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(X2,f6(X0,X1,X2,X3,X4))
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18815,f6928]) ).

fof(f18829,plain,
    ( sQ7_spl
    | ~ sQ71_spl ),
    inference(contradiction_clause,[status(thm)],[f18818]) ).

fof(f18830,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | ~ disjoint_s(X2,X3)
      | ~ equal_sets(union_of_sets(X2,X3),X0)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_collection(X2,X1)
      | equal_sets(X3,empty_set)
      | equal_sets(X2,empty_set)
      | ~ topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f240,f18767]) ).

fof(f18831,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ269_spl
      | ~ subset_sets(empty_set,X1)
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3164,f5325]) ).

fof(f18832,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ sQ269_spl
      | neighborhood(empty_set,X0,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f9374,f5325]) ).

fof(f18833,plain,
    ! [X0] :
      ( ~ sQ269_spl
      | element_of_set(X0,union_of_members(ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f304,f5325]) ).

fof(f18834,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ270_spl
      | ~ subset_sets(cx,X1)
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3172,f5329]) ).

fof(f18835,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ270_spl
      | subset_sets(f10(X0,cx,X1),cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f16924,f5329]) ).

fof(f18836,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ270_spl
      | element_of_set(X0,f10(X1,cx,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f16671,f5329]) ).

fof(f18837,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ sQ270_spl
      | neighborhood(cx,X0,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f9378,f5329]) ).

fof(f18838,plain,
    ! [X0] :
      ( ~ sQ270_spl
      | element_of_set(X0,union_of_members(ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f305,f5329]) ).

fof(f18840,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f17(cx,ct,X0,X1),X0,cx,ct)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1094,f217]) ).

fof(f18842,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | disjoint_s(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1))
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f1094,f219]) ).

fof(f18845,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | disjoint_s(f17(cx,ct,X1,X0),f18(cx,ct,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18842,f5329]) ).

fof(f18847,plain,
    ! [X0] :
      ( ~ subset_collections(ct,X0)
      | ~ topological_space(cx,X0)
      | finer(X0,ct,cx) ),
    inference(resolution,[status(thm)],[f271,f152]) ).

fof(f18848,plain,
    ! [X0,X1] :
      ( subset_sets(X1,f14(X1,cx,ct,X0))
      | ~ subset_sets(X1,cx)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f271,f191]) ).

fof(f18851,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | limit_point(X2,X3,cx,ct)
      | ~ element_of_set(X0,f16(X2,X3,cx,ct))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f16974]) ).

fof(f18852,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_set(X4,intersection_of_members(subspace_topology(X2,ct,X3)))
      | ~ element_of_set(X0,f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X4)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f15273]) ).

fof(f18856,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3040]) ).

fof(f18857,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3041]) ).

fof(f18858,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3042]) ).

fof(f18859,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3043]) ).

fof(f18860,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3039]) ).

fof(f18861,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3702]) ).

fof(f18862,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3044]) ).

fof(f18863,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3045]) ).

fof(f18864,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3046]) ).

fof(f18865,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3047]) ).

fof(f18866,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3048]) ).

fof(f18867,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3049]) ).

fof(f18868,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3050]) ).

fof(f18869,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3051]) ).

fof(f18870,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3052]) ).

fof(f18871,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3053]) ).

fof(f18872,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3054]) ).

fof(f18873,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3055]) ).

fof(f18874,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3058]) ).

fof(f18875,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3059]) ).

fof(f18876,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3060]) ).

fof(f18877,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3061]) ).

fof(f18878,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3062]) ).

fof(f18879,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3063]) ).

fof(f18880,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3064]) ).

fof(f18881,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3065]) ).

fof(f18882,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3066]) ).

fof(f18883,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3067]) ).

fof(f18884,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3768]) ).

fof(f18885,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3790]) ).

fof(f18886,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3812]) ).

fof(f18887,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3834]) ).

fof(f18888,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3056]) ).

fof(f18889,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3057]) ).

fof(f18890,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3291]) ).

fof(f18891,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5390]) ).

fof(f18892,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5418]) ).

fof(f18893,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5446]) ).

fof(f18894,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5474]) ).

fof(f18895,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f8576]) ).

fof(f18896,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f8563]) ).

fof(f18897,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3313]) ).

fof(f18898,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3068]) ).

fof(f18899,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3069]) ).

fof(f18900,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3070]) ).

fof(f18901,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3071]) ).

fof(f18902,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X2)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f14365]) ).

fof(f18903,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f13563]) ).

fof(f18904,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f13542]) ).

fof(f18905,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3072]) ).

fof(f18906,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3073]) ).

fof(f18907,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3074]) ).

fof(f18908,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3075]) ).

fof(f18909,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3076]) ).

fof(f18910,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3077]) ).

fof(f18911,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5502]) ).

fof(f18912,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5530]) ).

fof(f18913,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5558]) ).

fof(f18914,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5586]) ).

fof(f18915,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f8550]) ).

fof(f18916,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f8537]) ).

fof(f18917,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3335]) ).

fof(f18918,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5334]) ).

fof(f18919,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f5362]) ).

fof(f18920,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3083]) ).

fof(f18921,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3856]) ).

fof(f18922,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3944]) ).

fof(f18923,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3988]) ).

fof(f18924,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3085]) ).

fof(f18925,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3086]) ).

fof(f18926,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3878]) ).

fof(f18927,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3900]) ).

fof(f18928,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3922]) ).

fof(f18929,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3966]) ).

fof(f18930,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3089]) ).

fof(f18931,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3090]) ).

fof(f18934,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3094]) ).

fof(f18935,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3095]) ).

fof(f18936,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3096]) ).

fof(f18937,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3097]) ).

fof(f18938,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3098]) ).

fof(f18939,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3099]) ).

fof(f18940,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6278]) ).

fof(f18941,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6338]) ).

fof(f18942,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3100]) ).

fof(f18943,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3101]) ).

fof(f18944,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6398]) ).

fof(f18945,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3103]) ).

fof(f18946,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3104]) ).

fof(f18947,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3105]) ).

fof(f18948,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3106]) ).

fof(f18949,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3107]) ).

fof(f18950,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3108]) ).

fof(f18951,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3111]) ).

fof(f18952,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3112]) ).

fof(f18953,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3113]) ).

fof(f18954,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3114]) ).

fof(f18955,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3109]) ).

fof(f18956,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3110]) ).

fof(f18957,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3115]) ).

fof(f18958,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3118]) ).

fof(f18959,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3119]) ).

fof(f18960,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3120]) ).

fof(f18961,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3121]) ).

fof(f18962,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3116]) ).

fof(f18963,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3117]) ).

fof(f18964,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3122]) ).

fof(f18968,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3128]) ).

fof(f18969,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3129]) ).

fof(f18970,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3130]) ).

fof(f18971,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3131]) ).

fof(f18972,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3132]) ).

fof(f18973,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3133]) ).

fof(f18974,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6308]) ).

fof(f18975,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6368]) ).

fof(f18976,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3134]) ).

fof(f18977,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3135]) ).

fof(f18978,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f6428]) ).

fof(f18979,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3137]) ).

fof(f18980,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3138]) ).

fof(f18981,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3139]) ).

fof(f18982,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3140]) ).

fof(f18983,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3141]) ).

fof(f18984,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3142]) ).

fof(f18985,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3145]) ).

fof(f18986,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3146]) ).

fof(f18987,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3147]) ).

fof(f18988,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3148]) ).

fof(f18989,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3143]) ).

fof(f18990,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3144]) ).

fof(f18991,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3149]) ).

fof(f18992,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3151]) ).

fof(f18993,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3152]) ).

fof(f18994,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3153]) ).

fof(f18995,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3154]) ).

fof(f18996,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3150]) ).

fof(f18997,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3156]) ).

fof(f18998,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))
      | ~ topological_space(cx,ct)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6917,f3155]) ).

fof(f19002,definition,
    ! [X0,X1,X2,X3] :
      ( sQ975_spl
    <=> ( limit_point(X2,X3,cx,ct)
        | ~ element_of_set(X0,f16(X2,X3,cx,ct))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ975_spl])],[split_symbol_definition]) ).

fof(f19003,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ975_spl
      | limit_point(X2,X3,cx,ct)
      | ~ element_of_set(X0,f16(X2,X3,cx,ct))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19002]) ).

fof(f19005,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ975_spl ),
    inference(split_clause,[status(thm)],[f18851,f19002,f1367,f4237]) ).

fof(f19006,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ976_spl
    <=> ( element_of_set(X4,intersection_of_members(subspace_topology(X2,ct,X3)))
        | ~ element_of_set(X0,f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X4)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ976_spl])],[split_symbol_definition]) ).

fof(f19007,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ976_spl
      | element_of_set(X4,intersection_of_members(subspace_topology(X2,ct,X3)))
      | ~ element_of_set(X0,f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X4)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19006]) ).

fof(f19009,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ976_spl ),
    inference(split_clause,[status(thm)],[f18852,f19006,f1367,f4237]) ).

fof(f19013,definition,
    ! [X0,X1,X2] :
      ( sQ977_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ977_spl])],[split_symbol_definition]) ).

fof(f19014,plain,
    ! [X0,X1,X2] :
      ( ~ sQ977_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19013]) ).

fof(f19016,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ977_spl ),
    inference(split_clause,[status(thm)],[f18856,f19013,f1367,f4237]) ).

fof(f19017,definition,
    ! [X0,X1,X2] :
      ( sQ978_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ978_spl])],[split_symbol_definition]) ).

fof(f19018,plain,
    ! [X0,X1,X2] :
      ( ~ sQ978_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19017]) ).

fof(f19020,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ978_spl ),
    inference(split_clause,[status(thm)],[f18857,f19017,f1367,f4237]) ).

fof(f19021,definition,
    ! [X0,X1,X2] :
      ( sQ979_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ979_spl])],[split_symbol_definition]) ).

fof(f19022,plain,
    ! [X0,X1,X2] :
      ( ~ sQ979_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19021]) ).

fof(f19024,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ979_spl ),
    inference(split_clause,[status(thm)],[f18858,f19021,f1367,f4237]) ).

fof(f19025,definition,
    ! [X0,X1,X2] :
      ( sQ980_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ980_spl])],[split_symbol_definition]) ).

fof(f19026,plain,
    ! [X0,X1,X2] :
      ( ~ sQ980_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19025]) ).

fof(f19028,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ980_spl ),
    inference(split_clause,[status(thm)],[f18859,f19025,f1367,f4237]) ).

fof(f19029,definition,
    ! [X0,X1,X2] :
      ( sQ981_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ981_spl])],[split_symbol_definition]) ).

fof(f19030,plain,
    ! [X0,X1,X2] :
      ( ~ sQ981_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19029]) ).

fof(f19032,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ981_spl ),
    inference(split_clause,[status(thm)],[f18860,f19029,f1367,f4237]) ).

fof(f19033,definition,
    ! [X0,X1,X2] :
      ( sQ982_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ982_spl])],[split_symbol_definition]) ).

fof(f19034,plain,
    ! [X0,X1,X2] :
      ( ~ sQ982_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19033]) ).

fof(f19036,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ982_spl ),
    inference(split_clause,[status(thm)],[f18861,f19033,f1367,f4237]) ).

fof(f19037,definition,
    ! [X0,X1,X2] :
      ( sQ983_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ983_spl])],[split_symbol_definition]) ).

fof(f19038,plain,
    ! [X0,X1,X2] :
      ( ~ sQ983_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19037]) ).

fof(f19040,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ983_spl ),
    inference(split_clause,[status(thm)],[f18862,f19037,f1367,f4237]) ).

fof(f19041,definition,
    ! [X0,X1,X2] :
      ( sQ984_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ984_spl])],[split_symbol_definition]) ).

fof(f19042,plain,
    ! [X0,X1,X2] :
      ( ~ sQ984_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19041]) ).

fof(f19044,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ984_spl ),
    inference(split_clause,[status(thm)],[f18863,f19041,f1367,f4237]) ).

fof(f19045,definition,
    ! [X0,X1,X2] :
      ( sQ985_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ985_spl])],[split_symbol_definition]) ).

fof(f19046,plain,
    ! [X0,X1,X2] :
      ( ~ sQ985_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19045]) ).

fof(f19048,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ985_spl ),
    inference(split_clause,[status(thm)],[f18864,f19045,f1367,f4237]) ).

fof(f19049,definition,
    ! [X0,X1,X2] :
      ( sQ986_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ986_spl])],[split_symbol_definition]) ).

fof(f19050,plain,
    ! [X0,X1,X2] :
      ( ~ sQ986_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19049]) ).

fof(f19052,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ986_spl ),
    inference(split_clause,[status(thm)],[f18865,f19049,f1367,f4237]) ).

fof(f19053,definition,
    ! [X0,X1,X2] :
      ( sQ987_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ987_spl])],[split_symbol_definition]) ).

fof(f19054,plain,
    ! [X0,X1,X2] :
      ( ~ sQ987_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19053]) ).

fof(f19056,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ987_spl ),
    inference(split_clause,[status(thm)],[f18866,f19053,f1367,f4237]) ).

fof(f19057,definition,
    ! [X0,X1,X2] :
      ( sQ988_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ988_spl])],[split_symbol_definition]) ).

fof(f19058,plain,
    ! [X0,X1,X2] :
      ( ~ sQ988_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19057]) ).

fof(f19060,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ988_spl ),
    inference(split_clause,[status(thm)],[f18867,f19057,f1367,f4237]) ).

fof(f19061,definition,
    ! [X0,X1,X2] :
      ( sQ989_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ989_spl])],[split_symbol_definition]) ).

fof(f19062,plain,
    ! [X0,X1,X2] :
      ( ~ sQ989_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19061]) ).

fof(f19064,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ989_spl ),
    inference(split_clause,[status(thm)],[f18868,f19061,f1367,f4237]) ).

fof(f19065,definition,
    ! [X0,X1,X2] :
      ( sQ990_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ990_spl])],[split_symbol_definition]) ).

fof(f19066,plain,
    ! [X0,X1,X2] :
      ( ~ sQ990_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19065]) ).

fof(f19068,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ990_spl ),
    inference(split_clause,[status(thm)],[f18869,f19065,f1367,f4237]) ).

fof(f19069,definition,
    ! [X0,X1,X2] :
      ( sQ991_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ991_spl])],[split_symbol_definition]) ).

fof(f19070,plain,
    ! [X0,X1,X2] :
      ( ~ sQ991_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19069]) ).

fof(f19072,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ991_spl ),
    inference(split_clause,[status(thm)],[f18870,f19069,f1367,f4237]) ).

fof(f19073,definition,
    ! [X0,X1,X2] :
      ( sQ992_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ992_spl])],[split_symbol_definition]) ).

fof(f19074,plain,
    ! [X0,X1,X2] :
      ( ~ sQ992_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19073]) ).

fof(f19076,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ992_spl ),
    inference(split_clause,[status(thm)],[f18871,f19073,f1367,f4237]) ).

fof(f19077,definition,
    ! [X0,X1,X2] :
      ( sQ993_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ993_spl])],[split_symbol_definition]) ).

fof(f19078,plain,
    ! [X0,X1,X2] :
      ( ~ sQ993_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19077]) ).

fof(f19080,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ993_spl ),
    inference(split_clause,[status(thm)],[f18872,f19077,f1367,f4237]) ).

fof(f19081,definition,
    ! [X0,X1,X2] :
      ( sQ994_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ994_spl])],[split_symbol_definition]) ).

fof(f19082,plain,
    ! [X0,X1,X2] :
      ( ~ sQ994_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19081]) ).

fof(f19084,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ994_spl ),
    inference(split_clause,[status(thm)],[f18873,f19081,f1367,f4237]) ).

fof(f19085,definition,
    ! [X0,X1,X2] :
      ( sQ995_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ995_spl])],[split_symbol_definition]) ).

fof(f19086,plain,
    ! [X0,X1,X2] :
      ( ~ sQ995_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19085]) ).

fof(f19088,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ995_spl ),
    inference(split_clause,[status(thm)],[f18874,f19085,f1367,f4237]) ).

fof(f19089,definition,
    ! [X0,X1,X2] :
      ( sQ996_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ996_spl])],[split_symbol_definition]) ).

fof(f19090,plain,
    ! [X0,X1,X2] :
      ( ~ sQ996_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19089]) ).

fof(f19092,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ996_spl ),
    inference(split_clause,[status(thm)],[f18875,f19089,f1367,f4237]) ).

fof(f19093,definition,
    ! [X0,X1,X2] :
      ( sQ997_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ997_spl])],[split_symbol_definition]) ).

fof(f19094,plain,
    ! [X0,X1,X2] :
      ( ~ sQ997_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19093]) ).

fof(f19096,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ997_spl ),
    inference(split_clause,[status(thm)],[f18876,f19093,f1367,f4237]) ).

fof(f19097,definition,
    ! [X0,X1,X2] :
      ( sQ998_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ998_spl])],[split_symbol_definition]) ).

fof(f19098,plain,
    ! [X0,X1,X2] :
      ( ~ sQ998_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19097]) ).

fof(f19100,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ998_spl ),
    inference(split_clause,[status(thm)],[f18877,f19097,f1367,f4237]) ).

fof(f19101,definition,
    ! [X0,X1,X2] :
      ( sQ999_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ999_spl])],[split_symbol_definition]) ).

fof(f19102,plain,
    ! [X0,X1,X2] :
      ( ~ sQ999_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19101]) ).

fof(f19104,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ999_spl ),
    inference(split_clause,[status(thm)],[f18878,f19101,f1367,f4237]) ).

fof(f19105,definition,
    ! [X0,X1,X2] :
      ( sQ1000_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1000_spl])],[split_symbol_definition]) ).

fof(f19106,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1000_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19105]) ).

fof(f19108,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1000_spl ),
    inference(split_clause,[status(thm)],[f18879,f19105,f1367,f4237]) ).

fof(f19109,definition,
    ! [X0,X1,X2] :
      ( sQ1001_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1001_spl])],[split_symbol_definition]) ).

fof(f19110,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1001_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19109]) ).

fof(f19112,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1001_spl ),
    inference(split_clause,[status(thm)],[f18880,f19109,f1367,f4237]) ).

fof(f19113,definition,
    ! [X0,X1,X2] :
      ( sQ1002_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1002_spl])],[split_symbol_definition]) ).

fof(f19114,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1002_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19113]) ).

fof(f19116,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1002_spl ),
    inference(split_clause,[status(thm)],[f18881,f19113,f1367,f4237]) ).

fof(f19117,definition,
    ! [X0,X1,X2] :
      ( sQ1003_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1003_spl])],[split_symbol_definition]) ).

fof(f19118,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1003_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19117]) ).

fof(f19120,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1003_spl ),
    inference(split_clause,[status(thm)],[f18882,f19117,f1367,f4237]) ).

fof(f19121,definition,
    ! [X0,X1,X2] :
      ( sQ1004_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1004_spl])],[split_symbol_definition]) ).

fof(f19122,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1004_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19121]) ).

fof(f19124,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1004_spl ),
    inference(split_clause,[status(thm)],[f18883,f19121,f1367,f4237]) ).

fof(f19125,definition,
    ! [X0,X1,X2] :
      ( sQ1005_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1005_spl])],[split_symbol_definition]) ).

fof(f19126,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1005_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19125]) ).

fof(f19128,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1005_spl ),
    inference(split_clause,[status(thm)],[f18884,f19125,f1367,f4237]) ).

fof(f19129,definition,
    ! [X0,X1,X2] :
      ( sQ1006_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1006_spl])],[split_symbol_definition]) ).

fof(f19130,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1006_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19129]) ).

fof(f19132,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1006_spl ),
    inference(split_clause,[status(thm)],[f18885,f19129,f1367,f4237]) ).

fof(f19133,definition,
    ! [X0,X1,X2] :
      ( sQ1007_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1007_spl])],[split_symbol_definition]) ).

fof(f19134,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1007_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19133]) ).

fof(f19136,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1007_spl ),
    inference(split_clause,[status(thm)],[f18886,f19133,f1367,f4237]) ).

fof(f19137,definition,
    ! [X0,X1,X2] :
      ( sQ1008_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1008_spl])],[split_symbol_definition]) ).

fof(f19138,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1008_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19137]) ).

fof(f19140,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1008_spl ),
    inference(split_clause,[status(thm)],[f18887,f19137,f1367,f4237]) ).

fof(f19141,definition,
    ! [X0,X1] :
      ( sQ1009_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1009_spl])],[split_symbol_definition]) ).

fof(f19142,plain,
    ! [X0,X1] :
      ( ~ sQ1009_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19141]) ).

fof(f19144,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1009_spl ),
    inference(split_clause,[status(thm)],[f18888,f19141,f1367,f4237]) ).

fof(f19145,definition,
    ! [X0,X1] :
      ( sQ1010_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1010_spl])],[split_symbol_definition]) ).

fof(f19146,plain,
    ! [X0,X1] :
      ( ~ sQ1010_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19145]) ).

fof(f19148,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1010_spl ),
    inference(split_clause,[status(thm)],[f18889,f19145,f1367,f4237]) ).

fof(f19149,definition,
    ! [X0,X1,X2] :
      ( sQ1011_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1011_spl])],[split_symbol_definition]) ).

fof(f19150,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1011_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19149]) ).

fof(f19152,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1011_spl ),
    inference(split_clause,[status(thm)],[f18890,f19149,f1367,f4237]) ).

fof(f19153,definition,
    ! [X0,X1,X2] :
      ( sQ1012_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1012_spl])],[split_symbol_definition]) ).

fof(f19154,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1012_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19153]) ).

fof(f19156,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1012_spl ),
    inference(split_clause,[status(thm)],[f18891,f19153,f1367,f4237]) ).

fof(f19157,definition,
    ! [X0,X1,X2] :
      ( sQ1013_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1013_spl])],[split_symbol_definition]) ).

fof(f19158,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1013_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19157]) ).

fof(f19160,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1013_spl ),
    inference(split_clause,[status(thm)],[f18892,f19157,f1367,f4237]) ).

fof(f19161,definition,
    ! [X0,X1,X2] :
      ( sQ1014_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1014_spl])],[split_symbol_definition]) ).

fof(f19162,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1014_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19161]) ).

fof(f19164,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1014_spl ),
    inference(split_clause,[status(thm)],[f18893,f19161,f1367,f4237]) ).

fof(f19165,definition,
    ! [X0,X1,X2] :
      ( sQ1015_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1015_spl])],[split_symbol_definition]) ).

fof(f19166,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1015_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19165]) ).

fof(f19168,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1015_spl ),
    inference(split_clause,[status(thm)],[f18894,f19165,f1367,f4237]) ).

fof(f19169,definition,
    ! [X0,X1] :
      ( sQ1016_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1016_spl])],[split_symbol_definition]) ).

fof(f19170,plain,
    ! [X0,X1] :
      ( ~ sQ1016_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19169]) ).

fof(f19172,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1016_spl ),
    inference(split_clause,[status(thm)],[f18895,f19169,f1367,f4237]) ).

fof(f19173,definition,
    ! [X0,X1] :
      ( sQ1017_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1017_spl])],[split_symbol_definition]) ).

fof(f19174,plain,
    ! [X0,X1] :
      ( ~ sQ1017_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19173]) ).

fof(f19176,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1017_spl ),
    inference(split_clause,[status(thm)],[f18896,f19173,f1367,f4237]) ).

fof(f19177,definition,
    ! [X0,X1,X2] :
      ( sQ1018_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1018_spl])],[split_symbol_definition]) ).

fof(f19178,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1018_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19177]) ).

fof(f19180,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1018_spl ),
    inference(split_clause,[status(thm)],[f18897,f19177,f1367,f4237]) ).

fof(f19181,definition,
    ! [X0,X1,X2] :
      ( sQ1019_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1019_spl])],[split_symbol_definition]) ).

fof(f19182,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1019_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19181]) ).

fof(f19184,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1019_spl ),
    inference(split_clause,[status(thm)],[f18898,f19181,f1367,f4237]) ).

fof(f19185,definition,
    ! [X0,X1,X2] :
      ( sQ1020_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1020_spl])],[split_symbol_definition]) ).

fof(f19186,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1020_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19185]) ).

fof(f19188,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1020_spl ),
    inference(split_clause,[status(thm)],[f18899,f19185,f1367,f4237]) ).

fof(f19189,definition,
    ! [X0,X1,X2] :
      ( sQ1021_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1021_spl])],[split_symbol_definition]) ).

fof(f19190,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1021_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19189]) ).

fof(f19192,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1021_spl ),
    inference(split_clause,[status(thm)],[f18900,f19189,f1367,f4237]) ).

fof(f19193,definition,
    ! [X0,X1,X2] :
      ( sQ1022_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1022_spl])],[split_symbol_definition]) ).

fof(f19194,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1022_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19193]) ).

fof(f19196,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1022_spl ),
    inference(split_clause,[status(thm)],[f18901,f19193,f1367,f4237]) ).

fof(f19197,definition,
    ! [X0,X1,X2] :
      ( sQ1023_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X2)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1023_spl])],[split_symbol_definition]) ).

fof(f19198,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1023_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19197]) ).

fof(f19200,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1023_spl ),
    inference(split_clause,[status(thm)],[f18902,f19197,f1367,f4237]) ).

fof(f19201,definition,
    ! [X0,X1] :
      ( sQ1024_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1024_spl])],[split_symbol_definition]) ).

fof(f19202,plain,
    ! [X0,X1] :
      ( ~ sQ1024_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19201]) ).

fof(f19204,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1024_spl ),
    inference(split_clause,[status(thm)],[f18903,f19201,f1367,f4237]) ).

fof(f19205,definition,
    ! [X0,X1] :
      ( sQ1025_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1025_spl])],[split_symbol_definition]) ).

fof(f19206,plain,
    ! [X0,X1] :
      ( ~ sQ1025_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19205]) ).

fof(f19208,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1025_spl ),
    inference(split_clause,[status(thm)],[f18904,f19205,f1367,f4237]) ).

fof(f19209,definition,
    ! [X0,X1,X2] :
      ( sQ1026_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1026_spl])],[split_symbol_definition]) ).

fof(f19210,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1026_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19209]) ).

fof(f19212,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1026_spl ),
    inference(split_clause,[status(thm)],[f18905,f19209,f1367,f4237]) ).

fof(f19213,definition,
    ! [X0,X1,X2] :
      ( sQ1027_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1027_spl])],[split_symbol_definition]) ).

fof(f19214,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1027_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19213]) ).

fof(f19216,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1027_spl ),
    inference(split_clause,[status(thm)],[f18906,f19213,f1367,f4237]) ).

fof(f19217,definition,
    ! [X0,X1,X2] :
      ( sQ1028_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1028_spl])],[split_symbol_definition]) ).

fof(f19218,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1028_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19217]) ).

fof(f19220,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1028_spl ),
    inference(split_clause,[status(thm)],[f18907,f19217,f1367,f4237]) ).

fof(f19221,definition,
    ! [X0,X1,X2] :
      ( sQ1029_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1029_spl])],[split_symbol_definition]) ).

fof(f19222,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1029_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19221]) ).

fof(f19224,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1029_spl ),
    inference(split_clause,[status(thm)],[f18908,f19221,f1367,f4237]) ).

fof(f19225,definition,
    ! [X0,X1,X2] :
      ( sQ1030_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1030_spl])],[split_symbol_definition]) ).

fof(f19226,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1030_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19225]) ).

fof(f19228,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1030_spl ),
    inference(split_clause,[status(thm)],[f18909,f19225,f1367,f4237]) ).

fof(f19229,definition,
    ! [X0,X1,X2] :
      ( sQ1031_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1031_spl])],[split_symbol_definition]) ).

fof(f19230,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1031_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19229]) ).

fof(f19232,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1031_spl ),
    inference(split_clause,[status(thm)],[f18910,f19229,f1367,f4237]) ).

fof(f19233,definition,
    ! [X0,X1,X2] :
      ( sQ1032_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1032_spl])],[split_symbol_definition]) ).

fof(f19234,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1032_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19233]) ).

fof(f19236,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1032_spl ),
    inference(split_clause,[status(thm)],[f18911,f19233,f1367,f4237]) ).

fof(f19237,definition,
    ! [X0,X1,X2] :
      ( sQ1033_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1033_spl])],[split_symbol_definition]) ).

fof(f19238,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1033_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19237]) ).

fof(f19240,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1033_spl ),
    inference(split_clause,[status(thm)],[f18912,f19237,f1367,f4237]) ).

fof(f19241,definition,
    ! [X0,X1,X2] :
      ( sQ1034_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1034_spl])],[split_symbol_definition]) ).

fof(f19242,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1034_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19241]) ).

fof(f19244,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1034_spl ),
    inference(split_clause,[status(thm)],[f18913,f19241,f1367,f4237]) ).

fof(f19245,definition,
    ! [X0,X1,X2] :
      ( sQ1035_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1035_spl])],[split_symbol_definition]) ).

fof(f19246,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1035_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19245]) ).

fof(f19248,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1035_spl ),
    inference(split_clause,[status(thm)],[f18914,f19245,f1367,f4237]) ).

fof(f19249,definition,
    ! [X0,X1] :
      ( sQ1036_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1036_spl])],[split_symbol_definition]) ).

fof(f19250,plain,
    ! [X0,X1] :
      ( ~ sQ1036_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19249]) ).

fof(f19252,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1036_spl ),
    inference(split_clause,[status(thm)],[f18915,f19249,f1367,f4237]) ).

fof(f19253,definition,
    ! [X0,X1] :
      ( sQ1037_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1037_spl])],[split_symbol_definition]) ).

fof(f19254,plain,
    ! [X0,X1] :
      ( ~ sQ1037_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19253]) ).

fof(f19256,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1037_spl ),
    inference(split_clause,[status(thm)],[f18916,f19253,f1367,f4237]) ).

fof(f19257,definition,
    ! [X0,X1,X2] :
      ( sQ1038_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1038_spl])],[split_symbol_definition]) ).

fof(f19258,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1038_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19257]) ).

fof(f19260,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1038_spl ),
    inference(split_clause,[status(thm)],[f18917,f19257,f1367,f4237]) ).

fof(f19261,definition,
    ! [X0,X1,X2] :
      ( sQ1039_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1039_spl])],[split_symbol_definition]) ).

fof(f19262,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1039_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19261]) ).

fof(f19264,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1039_spl ),
    inference(split_clause,[status(thm)],[f18918,f19261,f1367,f4237]) ).

fof(f19265,definition,
    ! [X0,X1,X2] :
      ( sQ1040_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1040_spl])],[split_symbol_definition]) ).

fof(f19266,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1040_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19265]) ).

fof(f19268,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1040_spl ),
    inference(split_clause,[status(thm)],[f18919,f19265,f1367,f4237]) ).

fof(f19269,definition,
    ! [X0,X1,X2] :
      ( sQ1041_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1041_spl])],[split_symbol_definition]) ).

fof(f19270,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1041_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19269]) ).

fof(f19272,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1041_spl ),
    inference(split_clause,[status(thm)],[f18920,f19269,f1367,f4237]) ).

fof(f19273,definition,
    ! [X0,X1,X2] :
      ( sQ1042_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1042_spl])],[split_symbol_definition]) ).

fof(f19274,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1042_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19273]) ).

fof(f19276,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1042_spl ),
    inference(split_clause,[status(thm)],[f18921,f19273,f1367,f4237]) ).

fof(f19277,definition,
    ! [X0,X1,X2] :
      ( sQ1043_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1043_spl])],[split_symbol_definition]) ).

fof(f19278,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1043_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19277]) ).

fof(f19280,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1043_spl ),
    inference(split_clause,[status(thm)],[f18922,f19277,f1367,f4237]) ).

fof(f19281,definition,
    ! [X0,X1,X2] :
      ( sQ1044_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1044_spl])],[split_symbol_definition]) ).

fof(f19282,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1044_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19281]) ).

fof(f19284,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1044_spl ),
    inference(split_clause,[status(thm)],[f18923,f19281,f1367,f4237]) ).

fof(f19285,definition,
    ! [X0,X1,X2] :
      ( sQ1045_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1045_spl])],[split_symbol_definition]) ).

fof(f19286,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1045_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19285]) ).

fof(f19288,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1045_spl ),
    inference(split_clause,[status(thm)],[f18924,f19285,f1367,f4237]) ).

fof(f19289,definition,
    ! [X0,X1,X2] :
      ( sQ1046_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1046_spl])],[split_symbol_definition]) ).

fof(f19290,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1046_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19289]) ).

fof(f19292,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1046_spl ),
    inference(split_clause,[status(thm)],[f18925,f19289,f1367,f4237]) ).

fof(f19293,definition,
    ! [X0,X1,X2] :
      ( sQ1047_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1047_spl])],[split_symbol_definition]) ).

fof(f19294,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1047_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19293]) ).

fof(f19296,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1047_spl ),
    inference(split_clause,[status(thm)],[f18926,f19293,f1367,f4237]) ).

fof(f19297,definition,
    ! [X0,X1,X2] :
      ( sQ1048_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1048_spl])],[split_symbol_definition]) ).

fof(f19298,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1048_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19297]) ).

fof(f19300,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1048_spl ),
    inference(split_clause,[status(thm)],[f18927,f19297,f1367,f4237]) ).

fof(f19301,definition,
    ! [X0,X1,X2] :
      ( sQ1049_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1049_spl])],[split_symbol_definition]) ).

fof(f19302,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1049_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19301]) ).

fof(f19304,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1049_spl ),
    inference(split_clause,[status(thm)],[f18928,f19301,f1367,f4237]) ).

fof(f19305,definition,
    ! [X0,X1,X2] :
      ( sQ1050_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1050_spl])],[split_symbol_definition]) ).

fof(f19306,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1050_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19305]) ).

fof(f19308,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1050_spl ),
    inference(split_clause,[status(thm)],[f18929,f19305,f1367,f4237]) ).

fof(f19309,definition,
    ! [X0,X1,X2] :
      ( sQ1051_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1051_spl])],[split_symbol_definition]) ).

fof(f19310,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1051_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19309]) ).

fof(f19312,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1051_spl ),
    inference(split_clause,[status(thm)],[f18930,f19309,f1367,f4237]) ).

fof(f19313,definition,
    ! [X0,X1,X2] :
      ( sQ1052_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1052_spl])],[split_symbol_definition]) ).

fof(f19314,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1052_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19313]) ).

fof(f19316,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1052_spl ),
    inference(split_clause,[status(thm)],[f18931,f19313,f1367,f4237]) ).

fof(f19319,definition,
    ! [X0,X1,X2] :
      ( sQ1053_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1053_spl])],[split_symbol_definition]) ).

fof(f19320,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1053_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19319]) ).

fof(f19322,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1053_spl ),
    inference(split_clause,[status(thm)],[f18934,f19319,f1367,f4237]) ).

fof(f19323,definition,
    ! [X0,X1,X2] :
      ( sQ1054_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1054_spl])],[split_symbol_definition]) ).

fof(f19324,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1054_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19323]) ).

fof(f19326,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1054_spl ),
    inference(split_clause,[status(thm)],[f18935,f19323,f1367,f4237]) ).

fof(f19327,definition,
    ! [X0,X1,X2] :
      ( sQ1055_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1055_spl])],[split_symbol_definition]) ).

fof(f19328,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1055_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19327]) ).

fof(f19330,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1055_spl ),
    inference(split_clause,[status(thm)],[f18936,f19327,f1367,f4237]) ).

fof(f19331,definition,
    ! [X0,X1,X2] :
      ( sQ1056_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1056_spl])],[split_symbol_definition]) ).

fof(f19332,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1056_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19331]) ).

fof(f19334,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1056_spl ),
    inference(split_clause,[status(thm)],[f18937,f19331,f1367,f4237]) ).

fof(f19335,definition,
    ! [X0,X1,X2] :
      ( sQ1057_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1057_spl])],[split_symbol_definition]) ).

fof(f19336,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1057_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19335]) ).

fof(f19338,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1057_spl ),
    inference(split_clause,[status(thm)],[f18938,f19335,f1367,f4237]) ).

fof(f19339,definition,
    ! [X0,X1,X2] :
      ( sQ1058_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1058_spl])],[split_symbol_definition]) ).

fof(f19340,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1058_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19339]) ).

fof(f19342,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1058_spl ),
    inference(split_clause,[status(thm)],[f18939,f19339,f1367,f4237]) ).

fof(f19343,definition,
    ! [X0,X1,X2] :
      ( sQ1059_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1059_spl])],[split_symbol_definition]) ).

fof(f19344,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1059_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19343]) ).

fof(f19346,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1059_spl ),
    inference(split_clause,[status(thm)],[f18940,f19343,f1367,f4237]) ).

fof(f19347,definition,
    ! [X0,X1,X2] :
      ( sQ1060_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1060_spl])],[split_symbol_definition]) ).

fof(f19348,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1060_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19347]) ).

fof(f19350,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1060_spl ),
    inference(split_clause,[status(thm)],[f18941,f19347,f1367,f4237]) ).

fof(f19351,definition,
    ! [X0,X1,X2] :
      ( sQ1061_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1061_spl])],[split_symbol_definition]) ).

fof(f19352,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1061_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19351]) ).

fof(f19354,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1061_spl ),
    inference(split_clause,[status(thm)],[f18942,f19351,f1367,f4237]) ).

fof(f19355,definition,
    ! [X0,X1,X2] :
      ( sQ1062_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1062_spl])],[split_symbol_definition]) ).

fof(f19356,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1062_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19355]) ).

fof(f19358,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1062_spl ),
    inference(split_clause,[status(thm)],[f18943,f19355,f1367,f4237]) ).

fof(f19359,definition,
    ! [X0,X1,X2] :
      ( sQ1063_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1063_spl])],[split_symbol_definition]) ).

fof(f19360,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1063_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19359]) ).

fof(f19362,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1063_spl ),
    inference(split_clause,[status(thm)],[f18944,f19359,f1367,f4237]) ).

fof(f19363,definition,
    ! [X0,X1,X2] :
      ( sQ1064_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1064_spl])],[split_symbol_definition]) ).

fof(f19364,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1064_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19363]) ).

fof(f19366,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1064_spl ),
    inference(split_clause,[status(thm)],[f18945,f19363,f1367,f4237]) ).

fof(f19367,definition,
    ! [X0,X1,X2] :
      ( sQ1065_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1065_spl])],[split_symbol_definition]) ).

fof(f19368,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1065_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19367]) ).

fof(f19370,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1065_spl ),
    inference(split_clause,[status(thm)],[f18946,f19367,f1367,f4237]) ).

fof(f19371,definition,
    ! [X0,X1,X2] :
      ( sQ1066_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1066_spl])],[split_symbol_definition]) ).

fof(f19372,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1066_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19371]) ).

fof(f19374,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1066_spl ),
    inference(split_clause,[status(thm)],[f18947,f19371,f1367,f4237]) ).

fof(f19375,definition,
    ! [X0,X1,X2] :
      ( sQ1067_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1067_spl])],[split_symbol_definition]) ).

fof(f19376,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1067_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19375]) ).

fof(f19378,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1067_spl ),
    inference(split_clause,[status(thm)],[f18948,f19375,f1367,f4237]) ).

fof(f19379,definition,
    ! [X0,X1,X2] :
      ( sQ1068_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1068_spl])],[split_symbol_definition]) ).

fof(f19380,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1068_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19379]) ).

fof(f19382,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1068_spl ),
    inference(split_clause,[status(thm)],[f18949,f19379,f1367,f4237]) ).

fof(f19383,definition,
    ! [X0,X1,X2] :
      ( sQ1069_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1069_spl])],[split_symbol_definition]) ).

fof(f19384,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1069_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19383]) ).

fof(f19386,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1069_spl ),
    inference(split_clause,[status(thm)],[f18950,f19383,f1367,f4237]) ).

fof(f19387,definition,
    ! [X0,X1,X2] :
      ( sQ1070_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1070_spl])],[split_symbol_definition]) ).

fof(f19388,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1070_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19387]) ).

fof(f19390,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1070_spl ),
    inference(split_clause,[status(thm)],[f18951,f19387,f1367,f4237]) ).

fof(f19391,definition,
    ! [X0,X1,X2] :
      ( sQ1071_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1071_spl])],[split_symbol_definition]) ).

fof(f19392,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1071_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19391]) ).

fof(f19394,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1071_spl ),
    inference(split_clause,[status(thm)],[f18952,f19391,f1367,f4237]) ).

fof(f19395,definition,
    ! [X0,X1,X2] :
      ( sQ1072_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1072_spl])],[split_symbol_definition]) ).

fof(f19396,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1072_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19395]) ).

fof(f19398,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1072_spl ),
    inference(split_clause,[status(thm)],[f18953,f19395,f1367,f4237]) ).

fof(f19399,definition,
    ! [X0,X1,X2] :
      ( sQ1073_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1073_spl])],[split_symbol_definition]) ).

fof(f19400,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1073_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19399]) ).

fof(f19402,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1073_spl ),
    inference(split_clause,[status(thm)],[f18954,f19399,f1367,f4237]) ).

fof(f19403,definition,
    ! [X0,X1] :
      ( sQ1074_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1074_spl])],[split_symbol_definition]) ).

fof(f19404,plain,
    ! [X0,X1] :
      ( ~ sQ1074_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19403]) ).

fof(f19406,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1074_spl ),
    inference(split_clause,[status(thm)],[f18955,f19403,f1367,f4237]) ).

fof(f19407,definition,
    ! [X0,X1] :
      ( sQ1075_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1075_spl])],[split_symbol_definition]) ).

fof(f19408,plain,
    ! [X0,X1] :
      ( ~ sQ1075_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19407]) ).

fof(f19410,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1075_spl ),
    inference(split_clause,[status(thm)],[f18956,f19407,f1367,f4237]) ).

fof(f19411,definition,
    ! [X0,X1,X2] :
      ( sQ1076_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1076_spl])],[split_symbol_definition]) ).

fof(f19412,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1076_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19411]) ).

fof(f19414,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1076_spl ),
    inference(split_clause,[status(thm)],[f18957,f19411,f1367,f4237]) ).

fof(f19415,definition,
    ! [X0,X1,X2] :
      ( sQ1077_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1077_spl])],[split_symbol_definition]) ).

fof(f19416,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1077_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19415]) ).

fof(f19418,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1077_spl ),
    inference(split_clause,[status(thm)],[f18958,f19415,f1367,f4237]) ).

fof(f19419,definition,
    ! [X0,X1,X2] :
      ( sQ1078_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1078_spl])],[split_symbol_definition]) ).

fof(f19420,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1078_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19419]) ).

fof(f19422,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1078_spl ),
    inference(split_clause,[status(thm)],[f18959,f19419,f1367,f4237]) ).

fof(f19423,definition,
    ! [X0,X1,X2] :
      ( sQ1079_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1079_spl])],[split_symbol_definition]) ).

fof(f19424,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1079_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19423]) ).

fof(f19426,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1079_spl ),
    inference(split_clause,[status(thm)],[f18960,f19423,f1367,f4237]) ).

fof(f19427,definition,
    ! [X0,X1,X2] :
      ( sQ1080_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1080_spl])],[split_symbol_definition]) ).

fof(f19428,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1080_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19427]) ).

fof(f19430,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1080_spl ),
    inference(split_clause,[status(thm)],[f18961,f19427,f1367,f4237]) ).

fof(f19431,definition,
    ! [X0,X1] :
      ( sQ1081_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1081_spl])],[split_symbol_definition]) ).

fof(f19432,plain,
    ! [X0,X1] :
      ( ~ sQ1081_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19431]) ).

fof(f19434,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1081_spl ),
    inference(split_clause,[status(thm)],[f18962,f19431,f1367,f4237]) ).

fof(f19435,definition,
    ! [X0,X1] :
      ( sQ1082_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1082_spl])],[split_symbol_definition]) ).

fof(f19436,plain,
    ! [X0,X1] :
      ( ~ sQ1082_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19435]) ).

fof(f19438,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1082_spl ),
    inference(split_clause,[status(thm)],[f18963,f19435,f1367,f4237]) ).

fof(f19439,definition,
    ! [X0,X1,X2] :
      ( sQ1083_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1083_spl])],[split_symbol_definition]) ).

fof(f19440,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1083_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19439]) ).

fof(f19442,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1083_spl ),
    inference(split_clause,[status(thm)],[f18964,f19439,f1367,f4237]) ).

fof(f19446,definition,
    ! [X0,X1,X2] :
      ( sQ1084_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1084_spl])],[split_symbol_definition]) ).

fof(f19447,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1084_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19446]) ).

fof(f19449,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1084_spl ),
    inference(split_clause,[status(thm)],[f18968,f19446,f1367,f4237]) ).

fof(f19450,definition,
    ! [X0,X1,X2] :
      ( sQ1085_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1085_spl])],[split_symbol_definition]) ).

fof(f19451,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1085_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19450]) ).

fof(f19453,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1085_spl ),
    inference(split_clause,[status(thm)],[f18969,f19450,f1367,f4237]) ).

fof(f19454,definition,
    ! [X0,X1,X2] :
      ( sQ1086_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1086_spl])],[split_symbol_definition]) ).

fof(f19455,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1086_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19454]) ).

fof(f19457,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1086_spl ),
    inference(split_clause,[status(thm)],[f18970,f19454,f1367,f4237]) ).

fof(f19458,definition,
    ! [X0,X1,X2] :
      ( sQ1087_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1087_spl])],[split_symbol_definition]) ).

fof(f19459,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1087_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19458]) ).

fof(f19461,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1087_spl ),
    inference(split_clause,[status(thm)],[f18971,f19458,f1367,f4237]) ).

fof(f19462,definition,
    ! [X0,X1,X2] :
      ( sQ1088_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1088_spl])],[split_symbol_definition]) ).

fof(f19463,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1088_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19462]) ).

fof(f19465,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1088_spl ),
    inference(split_clause,[status(thm)],[f18972,f19462,f1367,f4237]) ).

fof(f19466,definition,
    ! [X0,X1,X2] :
      ( sQ1089_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1089_spl])],[split_symbol_definition]) ).

fof(f19467,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1089_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19466]) ).

fof(f19469,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1089_spl ),
    inference(split_clause,[status(thm)],[f18973,f19466,f1367,f4237]) ).

fof(f19470,definition,
    ! [X0,X1,X2] :
      ( sQ1090_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1090_spl])],[split_symbol_definition]) ).

fof(f19471,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1090_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19470]) ).

fof(f19473,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1090_spl ),
    inference(split_clause,[status(thm)],[f18974,f19470,f1367,f4237]) ).

fof(f19474,definition,
    ! [X0,X1,X2] :
      ( sQ1091_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1091_spl])],[split_symbol_definition]) ).

fof(f19475,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1091_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19474]) ).

fof(f19477,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1091_spl ),
    inference(split_clause,[status(thm)],[f18975,f19474,f1367,f4237]) ).

fof(f19478,definition,
    ! [X0,X1,X2] :
      ( sQ1092_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1092_spl])],[split_symbol_definition]) ).

fof(f19479,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1092_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19478]) ).

fof(f19481,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1092_spl ),
    inference(split_clause,[status(thm)],[f18976,f19478,f1367,f4237]) ).

fof(f19482,definition,
    ! [X0,X1,X2] :
      ( sQ1093_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1093_spl])],[split_symbol_definition]) ).

fof(f19483,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1093_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19482]) ).

fof(f19485,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1093_spl ),
    inference(split_clause,[status(thm)],[f18977,f19482,f1367,f4237]) ).

fof(f19486,definition,
    ! [X0,X1,X2] :
      ( sQ1094_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1094_spl])],[split_symbol_definition]) ).

fof(f19487,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1094_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19486]) ).

fof(f19489,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1094_spl ),
    inference(split_clause,[status(thm)],[f18978,f19486,f1367,f4237]) ).

fof(f19490,definition,
    ! [X0,X1,X2] :
      ( sQ1095_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1095_spl])],[split_symbol_definition]) ).

fof(f19491,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1095_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19490]) ).

fof(f19493,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1095_spl ),
    inference(split_clause,[status(thm)],[f18979,f19490,f1367,f4237]) ).

fof(f19494,definition,
    ! [X0,X1,X2] :
      ( sQ1096_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1096_spl])],[split_symbol_definition]) ).

fof(f19495,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1096_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19494]) ).

fof(f19497,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1096_spl ),
    inference(split_clause,[status(thm)],[f18980,f19494,f1367,f4237]) ).

fof(f19498,definition,
    ! [X0,X1,X2] :
      ( sQ1097_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1097_spl])],[split_symbol_definition]) ).

fof(f19499,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1097_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19498]) ).

fof(f19501,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1097_spl ),
    inference(split_clause,[status(thm)],[f18981,f19498,f1367,f4237]) ).

fof(f19502,definition,
    ! [X0,X1,X2] :
      ( sQ1098_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1098_spl])],[split_symbol_definition]) ).

fof(f19503,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1098_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19502]) ).

fof(f19505,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1098_spl ),
    inference(split_clause,[status(thm)],[f18982,f19502,f1367,f4237]) ).

fof(f19506,definition,
    ! [X0,X1,X2] :
      ( sQ1099_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1099_spl])],[split_symbol_definition]) ).

fof(f19507,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1099_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19506]) ).

fof(f19509,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1099_spl ),
    inference(split_clause,[status(thm)],[f18983,f19506,f1367,f4237]) ).

fof(f19510,definition,
    ! [X0,X1,X2] :
      ( sQ1100_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1100_spl])],[split_symbol_definition]) ).

fof(f19511,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1100_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19510]) ).

fof(f19513,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1100_spl ),
    inference(split_clause,[status(thm)],[f18984,f19510,f1367,f4237]) ).

fof(f19514,definition,
    ! [X0,X1,X2] :
      ( sQ1101_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1101_spl])],[split_symbol_definition]) ).

fof(f19515,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1101_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19514]) ).

fof(f19517,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1101_spl ),
    inference(split_clause,[status(thm)],[f18985,f19514,f1367,f4237]) ).

fof(f19518,definition,
    ! [X0,X1,X2] :
      ( sQ1102_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1102_spl])],[split_symbol_definition]) ).

fof(f19519,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1102_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19518]) ).

fof(f19521,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1102_spl ),
    inference(split_clause,[status(thm)],[f18986,f19518,f1367,f4237]) ).

fof(f19522,definition,
    ! [X0,X1,X2] :
      ( sQ1103_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1103_spl])],[split_symbol_definition]) ).

fof(f19523,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1103_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19522]) ).

fof(f19525,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1103_spl ),
    inference(split_clause,[status(thm)],[f18987,f19522,f1367,f4237]) ).

fof(f19526,definition,
    ! [X0,X1,X2] :
      ( sQ1104_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1104_spl])],[split_symbol_definition]) ).

fof(f19527,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1104_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19526]) ).

fof(f19529,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1104_spl ),
    inference(split_clause,[status(thm)],[f18988,f19526,f1367,f4237]) ).

fof(f19530,definition,
    ! [X0,X1] :
      ( sQ1105_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1105_spl])],[split_symbol_definition]) ).

fof(f19531,plain,
    ! [X0,X1] :
      ( ~ sQ1105_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19530]) ).

fof(f19533,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1105_spl ),
    inference(split_clause,[status(thm)],[f18989,f19530,f1367,f4237]) ).

fof(f19534,definition,
    ! [X0,X1] :
      ( sQ1106_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1106_spl])],[split_symbol_definition]) ).

fof(f19535,plain,
    ! [X0,X1] :
      ( ~ sQ1106_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19534]) ).

fof(f19537,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1106_spl ),
    inference(split_clause,[status(thm)],[f18990,f19534,f1367,f4237]) ).

fof(f19538,definition,
    ! [X0,X1,X2] :
      ( sQ1107_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1107_spl])],[split_symbol_definition]) ).

fof(f19539,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1107_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19538]) ).

fof(f19541,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1107_spl ),
    inference(split_clause,[status(thm)],[f18991,f19538,f1367,f4237]) ).

fof(f19542,definition,
    ! [X0,X1,X2] :
      ( sQ1108_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1108_spl])],[split_symbol_definition]) ).

fof(f19543,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1108_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19542]) ).

fof(f19545,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1108_spl ),
    inference(split_clause,[status(thm)],[f18992,f19542,f1367,f4237]) ).

fof(f19546,definition,
    ! [X0,X1,X2] :
      ( sQ1109_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1109_spl])],[split_symbol_definition]) ).

fof(f19547,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1109_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19546]) ).

fof(f19549,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1109_spl ),
    inference(split_clause,[status(thm)],[f18993,f19546,f1367,f4237]) ).

fof(f19550,definition,
    ! [X0,X1,X2] :
      ( sQ1110_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1110_spl])],[split_symbol_definition]) ).

fof(f19551,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1110_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19550]) ).

fof(f19553,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1110_spl ),
    inference(split_clause,[status(thm)],[f18994,f19550,f1367,f4237]) ).

fof(f19554,definition,
    ! [X0,X1,X2] :
      ( sQ1111_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1111_spl])],[split_symbol_definition]) ).

fof(f19555,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1111_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19554]) ).

fof(f19557,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1111_spl ),
    inference(split_clause,[status(thm)],[f18995,f19554,f1367,f4237]) ).

fof(f19558,definition,
    ! [X0,X1] :
      ( sQ1112_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1112_spl])],[split_symbol_definition]) ).

fof(f19559,plain,
    ! [X0,X1] :
      ( ~ sQ1112_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19558]) ).

fof(f19561,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1112_spl ),
    inference(split_clause,[status(thm)],[f18996,f19558,f1367,f4237]) ).

fof(f19562,definition,
    ! [X0,X1] :
      ( sQ1113_spl
    <=> ( ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1113_spl])],[split_symbol_definition]) ).

fof(f19563,plain,
    ! [X0,X1] :
      ( ~ sQ1113_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19562]) ).

fof(f19565,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1113_spl ),
    inference(split_clause,[status(thm)],[f18997,f19562,f1367,f4237]) ).

fof(f19566,definition,
    ! [X0,X1,X2] :
      ( sQ1114_spl
    <=> ( element_of_set(X2,intersection_of_members(ct))
        | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))
        | element_of_set(X0,interior(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1114_spl])],[split_symbol_definition]) ).

fof(f19567,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1114_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f19566]) ).

fof(f19569,plain,
    ( ~ sQ61_spl
    | ~ sQ13_spl
    | sQ1114_spl ),
    inference(split_clause,[status(thm)],[f18998,f19566,f1367,f4237]) ).

fof(f19573,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(X0,X1),ct)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct) ),
    inference(resolution,[status(thm)],[f126,f271]) ).

fof(f19574,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | compact_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f270,f4238]) ).

fof(f19575,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ open(X4,X2,X3)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6917,f19583]) ).

fof(f19576,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X1)
      | finer(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f152,f19583]) ).

fof(f19577,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | ~ eq_p(f19(X0,X1),f20(X0,X1))
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f222,f19583]) ).

fof(f19578,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | ~ element_of_set(X1,X0)
      | ~ open(X0,X2,X3)
      | neighborhood(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f201,f19583]) ).

fof(f19579,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | ~ equal_sets(union_of_members(X0),X1)
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f258,f19583]) ).

fof(f19581,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6910,f19583]) ).

fof(f19582,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f121,f19583]) ).

fof(f19583,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f241,f7031]) ).

fof(f19584,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | ~ subset_collections(X1,X0)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19576,f19583]) ).

fof(f19585,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f160,f19582]) ).

fof(f19586,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f7(X0,X1),X0)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f157,f19582]) ).

fof(f19587,plain,
    ! [X0,X1,X2] :
      ( ~ sQ488_spl
      | element_of_set(f15(X1,X2,cx,ct,X0),intersection_of_sets(X0,X2))
      | ~ neighborhood(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f12182,f206]) ).

fof(f19588,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_collection(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f124,f19583]) ).

fof(f19590,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | ~ open(relative_complement_sets(X0,X1),X1,X2)
      | closed(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f144,f19583]) ).

fof(f19591,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | element_of_set(f7(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | basis(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f19586,f15276]) ).

fof(f19592,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f7(interior(X0,X1,X2),X3),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
      | basis(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f180]) ).

fof(f19593,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X1,X2)
      | basis(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f182]) ).

fof(f19594,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f7(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f214]) ).

fof(f19595,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f7(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f213]) ).

fof(f19596,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f7(union_of_members(X0),X1),f1(X0,f7(union_of_members(X0),X1)))
      | basis(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f19586,f113]) ).

fof(f19597,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f7(f2(ct,X0),X1),interior(X2,cx,ct))
      | basis(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f19586,f7364]) ).

fof(f19598,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f7(f2(ct,X0),X1),cx,ct)
      | basis(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f19586,f9382]) ).

fof(f19599,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f7(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | basis(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19586,f309]) ).

fof(f19600,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X3)
      | ~ element_of_collection(X1,X2)
      | ~ element_of_collection(X0,X2)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18830,f19583]) ).

fof(f19601,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | neighborhood(f17(cx,ct,X1,X0),X1,cx,ct)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2477,f5329]) ).

fof(f19602,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | ~ sQ0_spl
      | ~ sQ270_spl
      | basis(cx,X1)
      | neighborhood(f17(cx,ct,X0,f7(cx,X1)),X0,cx,ct)
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f19601,f19586]) ).

fof(f19603,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | neighborhood(f17(cx,ct,X0,X1),X0,cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19601,f5329]) ).

fof(f19604,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | disjoint_s(f17(cx,ct,X1,X0),f18(cx,ct,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2475,f5329]) ).

fof(f19605,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | ~ sQ0_spl
      | ~ sQ270_spl
      | basis(cx,X1)
      | disjoint_s(f17(cx,ct,X0,f7(cx,X1)),f18(cx,ct,X0,f7(cx,X1)))
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f19604,f19586]) ).

fof(f19606,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | disjoint_s(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19604,f5329]) ).

fof(f19607,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | neighborhood(f18(cx,ct,X1,X0),X0,cx,ct)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2476,f5329]) ).

fof(f19608,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | ~ sQ0_spl
      | ~ sQ270_spl
      | basis(cx,X1)
      | neighborhood(f18(cx,ct,X0,f7(cx,X1)),f7(cx,X1),cx,ct)
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f19607,f19586]) ).

fof(f19609,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | neighborhood(f18(cx,ct,X0,X1),X1,cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19607,f5329]) ).

fof(f19610,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f20(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f221,f19583]) ).

fof(f19611,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | ~ sQ322_spl
      | neighborhood(f18(cx,ct,X1,f20(cx,X0)),f20(cx,X0),cx,ct)
      | eq_p(X1,f20(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f19610,f19607]) ).

fof(f19612,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | ~ sQ322_spl
      | disjoint_s(f17(cx,ct,X1,f20(cx,X0)),f18(cx,ct,X1,f20(cx,X0)))
      | eq_p(X1,f20(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f19610,f19604]) ).

fof(f19613,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | ~ sQ322_spl
      | neighborhood(f17(cx,ct,X1,f20(cx,X0)),X1,cx,ct)
      | eq_p(X1,f20(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f19610,f19601]) ).

fof(f19614,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | element_of_set(f20(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f19610,f15276]) ).

fof(f19615,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f180]) ).

fof(f19616,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f182]) ).

fof(f19617,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f214]) ).

fof(f19618,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f213]) ).

fof(f19619,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f20(union_of_members(X0),X1),f1(X0,f20(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f19610,f113]) ).

fof(f19620,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f20(f2(ct,X0),X1),interior(X2,cx,ct))
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f19610,f7364]) ).

fof(f19621,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f20(f2(ct,X0),X1),cx,ct)
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f19610,f9382]) ).

fof(f19622,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f20(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19610,f309]) ).

fof(f19623,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f19(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f220,f19583]) ).

fof(f19624,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | ~ sQ322_spl
      | neighborhood(f18(cx,ct,X1,f19(cx,X0)),f19(cx,X0),cx,ct)
      | eq_p(X1,f19(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f19623,f19607]) ).

fof(f19625,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | ~ sQ322_spl
      | disjoint_s(f17(cx,ct,X1,f19(cx,X0)),f18(cx,ct,X1,f19(cx,X0)))
      | eq_p(X1,f19(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f19623,f19604]) ).

fof(f19626,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ270_spl
      | ~ sQ322_spl
      | neighborhood(f17(cx,ct,X1,f19(cx,X0)),X1,cx,ct)
      | eq_p(X1,f19(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f19623,f19601]) ).

fof(f19627,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | element_of_set(f19(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f19623,f15276]) ).

fof(f19628,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f180]) ).

fof(f19629,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f182]) ).

fof(f19630,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f214]) ).

fof(f19631,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f213]) ).

fof(f19632,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(f19(union_of_members(X0),X1),f1(X0,f19(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f19623,f113]) ).

fof(f19633,plain,
    ! [X0,X1,X2] :
      ( ~ sQ329_spl
      | ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(f19(f2(ct,X0),X1),interior(X2,cx,ct))
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f19623,f7364]) ).

fof(f19634,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f19(f2(ct,X0),X1),cx,ct)
      | hausdorff(f2(ct,X0),X1) ),
    inference(resolution,[status(thm)],[f19623,f9382]) ).

fof(f19635,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f19(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19623,f309]) ).

fof(f19636,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f263,f19583]) ).

fof(f19640,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | subset_collections(f24(X0,X1),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f19636,f254]) ).

fof(f19642,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | open(f17(cx,ct,X0,X1),cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19603,f197]) ).

fof(f19643,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | element_of_set(X0,f17(cx,ct,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19603,f199]) ).

fof(f19646,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | open(f18(cx,ct,X0,X1),cx,ct)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19609,f197]) ).

fof(f19647,plain,
    ! [X0,X1] :
      ( ~ sQ270_spl
      | ~ sQ0_spl
      | element_of_set(X1,f18(cx,ct,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f19609,f199]) ).

fof(f19649,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6911,f19583]) ).

fof(f19650,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ disjoint_s(X3,f16(f20(X0,X1),X2,X0,X1))
      | ~ neighborhood(X3,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f20(X0,X1),X2,X0,X1) ),
    inference(resolution,[status(thm)],[f19649,f9569]) ).

fof(f19651,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | open(f16(X0,X1,X2,X3),X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19649,f197]) ).

fof(f19652,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X0,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19649,f199]) ).

fof(f19653,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f7(f2(X0,X1),X2),f1(X0,f7(f2(X0,X1),X2)))
      | element_of_set(X1,intersection_of_members(X0))
      | basis(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19599,f113]) ).

fof(f19654,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f20(f2(X0,X1),X2),f1(X0,f20(f2(X0,X1),X2)))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19622,f113]) ).

fof(f19655,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f19(f2(X0,X1),X2),f1(X0,f19(f2(X0,X1),X2)))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19635,f113]) ).

fof(f19656,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | eq_p(X4,X0)
      | ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6909,f19583]) ).

fof(f19657,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | ~ sQ61_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19656,f19623]) ).

fof(f19658,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | ~ sQ61_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19656,f19610]) ).

fof(f19659,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | ~ sQ61_spl
      | basis(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f7(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19656,f19586]) ).

fof(f19660,plain,
    ! [X0] :
      ( ~ sQ382_spl
      | ~ sQ269_spl
      | ~ disjoint_s(X0,empty_set)
      | ~ neighborhood(X0,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f18832,f9569]) ).

fof(f19663,definition,
    ! [X0] :
      ( sQ1115_spl
    <=> ( ~ disjoint_s(X0,empty_set)
        | ~ neighborhood(X0,f19(cx,ct),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ1115_spl])],[split_symbol_definition]) ).

fof(f19664,plain,
    ! [X0] :
      ( ~ sQ1115_spl
      | ~ disjoint_s(X0,empty_set)
      | ~ neighborhood(X0,f19(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f19663]) ).

fof(f19666,plain,
    ( ~ sQ382_spl
    | ~ sQ269_spl
    | sQ1115_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f19660,f1093,f19663,f5324,f9373]) ).

fof(f19667,plain,
    ! [X0] :
      ( ~ sQ383_spl
      | ~ sQ270_spl
      | ~ disjoint_s(X0,cx)
      | ~ neighborhood(X0,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f18837,f9569]) ).

fof(f19670,definition,
    ! [X0] :
      ( sQ1116_spl
    <=> ( ~ disjoint_s(X0,cx)
        | ~ neighborhood(X0,f19(cx,ct),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ1116_spl])],[split_symbol_definition]) ).

fof(f19671,plain,
    ! [X0] :
      ( ~ sQ1116_spl
      | ~ disjoint_s(X0,cx)
      | ~ neighborhood(X0,f19(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f19670]) ).

fof(f19673,plain,
    ( ~ sQ383_spl
    | ~ sQ270_spl
    | sQ1116_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f19667,f1093,f19670,f5328,f9377]) ).

fof(f19674,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ61_spl
      | ~ subset_sets(cx,X1)
      | ~ element_of_set(X0,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3172,f4238]) ).

fof(f19675,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | limit_point(X4,X5,X2,X3)
      | ~ element_of_set(X0,f16(X4,X5,X2,X3))
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f19575,f19651]) ).

fof(f19676,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ322_spl
      | ~ sQ61_spl
      | hausdorff(interior(X4,X2,X3),X5)
      | ~ element_of_set(X0,f13(X4,X2,X3,f19(interior(X4,X2,X3),X5)))
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f19575,f19629]) ).

fof(f19677,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ322_spl
      | ~ sQ61_spl
      | hausdorff(interior(X4,X2,X3),X5)
      | ~ element_of_set(X0,f13(X4,X2,X3,f20(interior(X4,X2,X3),X5)))
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f19575,f19616]) ).

fof(f19678,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ322_spl
      | ~ sQ61_spl
      | basis(interior(X4,X2,X3),X5)
      | ~ element_of_set(X0,f13(X4,X2,X3,f7(interior(X4,X2,X3),X5)))
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f19575,f19593]) ).

fof(f19679,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X4,intersection_of_members(subspace_topology(X2,ct,X3)))
      | ~ element_of_set(X0,f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X4)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f15273]) ).

fof(f19680,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3159]) ).

fof(f19681,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,cx)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3160]) ).

fof(f19682,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,f2(ct,X2))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3038]) ).

fof(f19683,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3040]) ).

fof(f19684,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3041]) ).

fof(f19685,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3042]) ).

fof(f19686,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3043]) ).

fof(f19687,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3039]) ).

fof(f19688,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3702]) ).

fof(f19689,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3044]) ).

fof(f19690,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3045]) ).

fof(f19691,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3046]) ).

fof(f19692,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3047]) ).

fof(f19693,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3048]) ).

fof(f19694,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3049]) ).

fof(f19695,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3050]) ).

fof(f19696,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3051]) ).

fof(f19697,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3052]) ).

fof(f19698,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3053]) ).

fof(f19699,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3054]) ).

fof(f19700,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3055]) ).

fof(f19701,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3058]) ).

fof(f19702,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3059]) ).

fof(f19703,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3060]) ).

fof(f19704,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3061]) ).

fof(f19705,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3062]) ).

fof(f19706,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3063]) ).

fof(f19707,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3064]) ).

fof(f19708,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3065]) ).

fof(f19709,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3066]) ).

fof(f19710,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3067]) ).

fof(f19711,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3768]) ).

fof(f19712,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3790]) ).

fof(f19713,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3812]) ).

fof(f19714,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3834]) ).

fof(f19715,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3056]) ).

fof(f19716,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3057]) ).

fof(f19717,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3291]) ).

fof(f19718,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5390]) ).

fof(f19719,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5418]) ).

fof(f19720,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5446]) ).

fof(f19721,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5474]) ).

fof(f19722,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f8576]) ).

fof(f19723,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f8563]) ).

fof(f19724,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3313]) ).

fof(f19725,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3068]) ).

fof(f19726,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3069]) ).

fof(f19727,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3070]) ).

fof(f19728,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3071]) ).

fof(f19729,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f14365]) ).

fof(f19730,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f13563]) ).

fof(f19731,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f13542]) ).

fof(f19732,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3072]) ).

fof(f19733,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3073]) ).

fof(f19734,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3074]) ).

fof(f19735,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3075]) ).

fof(f19736,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3076]) ).

fof(f19737,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3077]) ).

fof(f19738,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5502]) ).

fof(f19739,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5530]) ).

fof(f19740,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5558]) ).

fof(f19741,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5586]) ).

fof(f19742,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f8550]) ).

fof(f19743,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f8537]) ).

fof(f19744,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3335]) ).

fof(f19745,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5334]) ).

fof(f19746,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f5362]) ).

fof(f19747,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3083]) ).

fof(f19748,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3856]) ).

fof(f19749,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3944]) ).

fof(f19750,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3988]) ).

fof(f19751,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3085]) ).

fof(f19752,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3086]) ).

fof(f19753,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3878]) ).

fof(f19754,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3900]) ).

fof(f19755,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3922]) ).

fof(f19756,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3966]) ).

fof(f19757,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3089]) ).

fof(f19758,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3090]) ).

fof(f19759,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3091]) ).

fof(f19760,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(f2(ct,X2),empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3092]) ).

fof(f19761,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3094]) ).

fof(f19762,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3095]) ).

fof(f19763,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3096]) ).

fof(f19764,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3097]) ).

fof(f19765,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3098]) ).

fof(f19766,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3099]) ).

fof(f19767,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f6278]) ).

fof(f19768,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f6338]) ).

fof(f19769,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3100]) ).

fof(f19770,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3101]) ).

fof(f19771,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f6398]) ).

fof(f19772,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3103]) ).

fof(f19773,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3104]) ).

fof(f19774,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3105]) ).

fof(f19775,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3106]) ).

fof(f19776,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3107]) ).

fof(f19777,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3108]) ).

fof(f19778,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3111]) ).

fof(f19779,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3112]) ).

fof(f19780,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3113]) ).

fof(f19781,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3114]) ).

fof(f19782,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3109]) ).

fof(f19783,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3110]) ).

fof(f19784,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3115]) ).

fof(f19785,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3118]) ).

fof(f19786,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3119]) ).

fof(f19787,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3120]) ).

fof(f19788,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3121]) ).

fof(f19789,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3116]) ).

fof(f19790,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3117]) ).

fof(f19791,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3122]) ).

fof(f19792,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3124]) ).

fof(f19793,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3125]) ).

fof(f19794,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(cx,f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3123]) ).

fof(f19795,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3128]) ).

fof(f19796,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3129]) ).

fof(f19797,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3130]) ).

fof(f19798,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3131]) ).

fof(f19799,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3132]) ).

fof(f19800,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3133]) ).

fof(f19801,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f6308]) ).

fof(f19802,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f6368]) ).

fof(f19803,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3134]) ).

fof(f19804,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3135]) ).

fof(f19805,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f6428]) ).

fof(f19806,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3137]) ).

fof(f19807,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3138]) ).

fof(f19808,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3139]) ).

fof(f19809,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3140]) ).

fof(f19810,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3141]) ).

fof(f19811,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3142]) ).

fof(f19812,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3145]) ).

fof(f19813,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3146]) ).

fof(f19814,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3147]) ).

fof(f19815,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3148]) ).

fof(f19816,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3143]) ).

fof(f19817,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3144]) ).

fof(f19818,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3149]) ).

fof(f19819,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3151]) ).

fof(f19820,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3152]) ).

fof(f19821,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3153]) ).

fof(f19822,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2)))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3154]) ).

fof(f19823,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3150]) ).

fof(f19824,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3156]) ).

fof(f19825,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3155]) ).

fof(f19826,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3157]) ).

fof(f19827,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3158]) ).

fof(f19828,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(ct))
      | ~ element_of_set(X0,intersection_of_sets(empty_set,f2(ct,X2)))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19575,f3127]) ).

fof(f19829,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ sQ269_spl
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19680,f5325]) ).

fof(f19830,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | compact_space(X1,X0)
      | finer(X0,f24(X1,X0),X2) ),
    inference(resolution,[status(thm)],[f19584,f19640]) ).

fof(f19831,plain,
    ! [X0,X1] :
      ( ~ sQ324_spl
      | element_of_set(X0,f13(X1,cx,ct,X0)) ),
    inference(resolution,[status(thm)],[f7075,f180]) ).

fof(f19832,plain,
    ! [X0,X1] :
      ( ~ sQ324_spl
      | open(f13(X0,cx,ct,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f7075,f182]) ).

fof(f19833,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ sQ303_spl
      | ~ element_of_set(X0,f1(ct,X2))
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6868,f19575]) ).

fof(f19834,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | ~ sQ322_spl
      | ~ element_of_set(X1,f1(ct,X0))
      | neighborhood(f1(ct,X0),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6868]) ).

fof(f19835,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | limit_point(X0,X1,X2,X3)
      | ~ element_of_set(X4,f16(X0,X1,X2,X3))
      | neighborhood(f16(X0,X1,X2,X3),X4,X2,X3) ),
    inference(resolution,[status(thm)],[f19578,f19651]) ).

fof(f19836,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | ~ element_of_set(X4,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
      | neighborhood(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X1,X2) ),
    inference(resolution,[status(thm)],[f19578,f19629]) ).

fof(f19837,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | ~ element_of_set(X4,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | neighborhood(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X1,X2) ),
    inference(resolution,[status(thm)],[f19578,f19616]) ).

fof(f19838,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | basis(interior(X0,X1,X2),X3)
      | ~ element_of_set(X4,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
      | neighborhood(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X1,X2) ),
    inference(resolution,[status(thm)],[f19578,f19593]) ).

fof(f19839,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(X2,intersection_of_members(subspace_topology(X0,ct,X1)))
      | ~ element_of_set(X3,f12(X0,ct,X1,f2(subspace_topology(X0,ct,X1),X2)))
      | neighborhood(f12(X0,ct,X1,f2(subspace_topology(X0,ct,X1),X2)),X3,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f15273]) ).

fof(f19840,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,empty_set)
      | neighborhood(empty_set,X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3159]) ).

fof(f19841,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,cx)
      | neighborhood(cx,X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3160]) ).

fof(f19842,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,f2(ct,X0))
      | neighborhood(f2(ct,X0),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3038]) ).

fof(f19843,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3040]) ).

fof(f19844,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3041]) ).

fof(f19845,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3042]) ).

fof(f19846,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3043]) ).

fof(f19847,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3039]) ).

fof(f19848,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3702]) ).

fof(f19849,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3044]) ).

fof(f19850,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3045]) ).

fof(f19851,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3046]) ).

fof(f19852,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3047]) ).

fof(f19853,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3048]) ).

fof(f19854,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3049]) ).

fof(f19855,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3050]) ).

fof(f19856,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3051]) ).

fof(f19857,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3052]) ).

fof(f19858,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3053]) ).

fof(f19859,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3054]) ).

fof(f19860,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3055]) ).

fof(f19861,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3058]) ).

fof(f19862,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3059]) ).

fof(f19863,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3060]) ).

fof(f19864,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3061]) ).

fof(f19865,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3062]) ).

fof(f19866,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3063]) ).

fof(f19867,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3064]) ).

fof(f19868,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3065]) ).

fof(f19869,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3066]) ).

fof(f19870,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3067]) ).

fof(f19871,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3768]) ).

fof(f19872,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3790]) ).

fof(f19873,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3812]) ).

fof(f19874,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3834]) ).

fof(f19875,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3056]) ).

fof(f19876,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3057]) ).

fof(f19877,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3291]) ).

fof(f19878,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5390]) ).

fof(f19879,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5418]) ).

fof(f19880,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5446]) ).

fof(f19881,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5474]) ).

fof(f19882,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f8576]) ).

fof(f19883,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(empty_set,cx),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f8563]) ).

fof(f19884,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3313]) ).

fof(f19885,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3068]) ).

fof(f19886,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3069]) ).

fof(f19887,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3070]) ).

fof(f19888,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3071]) ).

fof(f19889,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f14365]) ).

fof(f19890,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f13563]) ).

fof(f19891,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,cx),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,cx),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f13542]) ).

fof(f19892,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3072]) ).

fof(f19893,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3073]) ).

fof(f19894,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3074]) ).

fof(f19895,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3075]) ).

fof(f19896,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3076]) ).

fof(f19897,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3077]) ).

fof(f19898,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5502]) ).

fof(f19899,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5530]) ).

fof(f19900,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5558]) ).

fof(f19901,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5586]) ).

fof(f19902,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f8550]) ).

fof(f19903,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(intersection_of_sets(cx,empty_set),cx))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f8537]) ).

fof(f19904,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)))
      | neighborhood(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3335]) ).

fof(f19905,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5334]) ).

fof(f19906,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f5362]) ).

fof(f19907,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3083]) ).

fof(f19908,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3856]) ).

fof(f19909,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3944]) ).

fof(f19910,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3988]) ).

fof(f19911,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3085]) ).

fof(f19912,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3086]) ).

fof(f19913,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3878]) ).

fof(f19914,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3900]) ).

fof(f19915,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3922]) ).

fof(f19916,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3966]) ).

fof(f19917,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3089]) ).

fof(f19918,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3090]) ).

fof(f19919,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),cx))
      | neighborhood(intersection_of_sets(f2(ct,X0),cx),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3091]) ).

fof(f19920,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(f2(ct,X0),empty_set))
      | neighborhood(intersection_of_sets(f2(ct,X0),empty_set),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3092]) ).

fof(f19921,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3094]) ).

fof(f19922,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3095]) ).

fof(f19923,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3096]) ).

fof(f19924,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3097]) ).

fof(f19925,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3098]) ).

fof(f19926,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3099]) ).

fof(f19927,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6278]) ).

fof(f19928,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6338]) ).

fof(f19929,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3100]) ).

fof(f19930,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3101]) ).

fof(f19931,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6398]) ).

fof(f19932,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3103]) ).

fof(f19933,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3104]) ).

fof(f19934,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3105]) ).

fof(f19935,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3106]) ).

fof(f19936,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3107]) ).

fof(f19937,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3108]) ).

fof(f19938,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3111]) ).

fof(f19939,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3112]) ).

fof(f19940,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3113]) ).

fof(f19941,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3114]) ).

fof(f19942,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3109]) ).

fof(f19943,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3110]) ).

fof(f19944,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3115]) ).

fof(f19945,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3118]) ).

fof(f19946,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3119]) ).

fof(f19947,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3120]) ).

fof(f19948,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3121]) ).

fof(f19949,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3116]) ).

fof(f19950,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3117]) ).

fof(f19951,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3122]) ).

fof(f19952,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,cx))
      | neighborhood(intersection_of_sets(cx,cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3124]) ).

fof(f19953,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(cx,empty_set))
      | neighborhood(intersection_of_sets(cx,empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3125]) ).

fof(f19954,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(cx,f2(ct,X0)))
      | neighborhood(intersection_of_sets(cx,f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3123]) ).

fof(f19955,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3128]) ).

fof(f19956,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3129]) ).

fof(f19957,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3130]) ).

fof(f19958,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3131]) ).

fof(f19959,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3132]) ).

fof(f19960,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3133]) ).

fof(f19961,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6308]) ).

fof(f19962,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6368]) ).

fof(f19963,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3134]) ).

fof(f19964,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3135]) ).

fof(f19965,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f6428]) ).

fof(f19966,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3137]) ).

fof(f19967,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3138]) ).

fof(f19968,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3139]) ).

fof(f19969,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3140]) ).

fof(f19970,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3141]) ).

fof(f19971,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3142]) ).

fof(f19972,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3145]) ).

fof(f19973,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3146]) ).

fof(f19974,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3147]) ).

fof(f19975,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3148]) ).

fof(f19976,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3143]) ).

fof(f19977,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3144]) ).

fof(f19978,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3149]) ).

fof(f19979,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3151]) ).

fof(f19980,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3152]) ).

fof(f19981,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3153]) ).

fof(f19982,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0)))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3154]) ).

fof(f19983,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,cx)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3150]) ).

fof(f19984,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,empty_set)),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3156]) ).

fof(f19985,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))))
      | neighborhood(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3155]) ).

fof(f19986,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,cx))
      | neighborhood(intersection_of_sets(empty_set,cx),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3157]) ).

fof(f19987,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ element_of_set(X0,intersection_of_sets(empty_set,empty_set))
      | neighborhood(intersection_of_sets(empty_set,empty_set),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3158]) ).

fof(f19988,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | element_of_set(X0,intersection_of_members(ct))
      | ~ element_of_set(X1,intersection_of_sets(empty_set,f2(ct,X0)))
      | neighborhood(intersection_of_sets(empty_set,f2(ct,X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19578,f3127]) ).

fof(f19989,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | open(X0,cx,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3035,f19588]) ).

fof(f19990,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | closed(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19989,f19590]) ).

fof(f19991,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | ~ element_of_set(X1,X0)
      | neighborhood(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19989,f19578]) ).

fof(f19992,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,interior(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f19989,f19575]) ).

fof(f19993,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2)
      | neighborhood(union_of_members(X0),f19(f2(X0,X1),X2),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19635]) ).

fof(f19994,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | hausdorff(union_of_members(X0),X1)
      | neighborhood(f1(X0,f19(union_of_members(X0),X1)),f19(union_of_members(X0),X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19632]) ).

fof(f19995,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | neighborhood(closure(X0,X1,X2),f19(boundary(X0,X1,X2),X3),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19631]) ).

fof(f19996,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | hausdorff(X0,X1)
      | neighborhood(X0,f19(X0,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19623]) ).

fof(f19997,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2)
      | neighborhood(union_of_members(X0),f20(f2(X0,X1),X2),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19622]) ).

fof(f19998,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | hausdorff(union_of_members(X0),X1)
      | neighborhood(f1(X0,f20(union_of_members(X0),X1)),f20(union_of_members(X0),X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19619]) ).

fof(f19999,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | neighborhood(closure(X0,X1,X2),f20(boundary(X0,X1,X2),X3),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19618]) ).

fof(f20000,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | hausdorff(X0,X1)
      | neighborhood(X0,f20(X0,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19610]) ).

fof(f20001,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(X1,intersection_of_members(X0))
      | basis(f2(X0,X1),X2)
      | neighborhood(union_of_members(X0),f7(f2(X0,X1),X2),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19599]) ).

fof(f20002,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | basis(interior(X0,X1,X2),X3)
      | neighborhood(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),f7(interior(X0,X1,X2),X3),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19592]) ).

fof(f20003,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | basis(union_of_members(X0),X1)
      | neighborhood(f1(X0,f7(union_of_members(X0),X1)),f7(union_of_members(X0),X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19596]) ).

fof(f20004,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | basis(boundary(X0,X1,X2),X3)
      | neighborhood(closure(relative_complement_sets(X0,X1),X1,X2),f7(boundary(X0,X1,X2),X3),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19594]) ).

fof(f20005,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | basis(boundary(X0,X1,X2),X3)
      | neighborhood(closure(X0,X1,X2),f7(boundary(X0,X1,X2),X3),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19595]) ).

fof(f20006,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | basis(X0,X1)
      | neighborhood(intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19585]) ).

fof(f20007,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | basis(X0,X1)
      | neighborhood(X0,f7(X0,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19586]) ).

fof(f20008,plain,
    ! [X0,X1] :
      ( ~ sQ324_spl
      | ~ sQ322_spl
      | neighborhood(f13(X0,cx,ct,X1),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19831]) ).

fof(f20009,plain,
    ! [X0,X1] :
      ( ~ sQ324_spl
      | ~ sQ322_spl
      | neighborhood(interior(X0,cx,ct),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f7075]) ).

fof(f20010,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | limit_point(X0,X1,X2,X3)
      | neighborhood(f16(X0,X1,X2,X3),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f19652]) ).

fof(f20011,plain,
    ! [X0,X1] :
      ( ~ sQ110_spl
      | ~ sQ322_spl
      | neighborhood(intersection_of_members(top_of_basis(X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f4689]) ).

fof(f20012,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | ~ sQ322_spl
      | neighborhood(f1(top_of_basis(X0),X1),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f13347]) ).

fof(f20013,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | ~ sQ322_spl
      | neighborhood(f1(ct,X0),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f6796]) ).

fof(f20014,plain,
    ! [X0,X1] :
      ( ~ sQ437_spl
      | ~ sQ322_spl
      | neighborhood(union_of_members(top_of_basis(X0)),X1,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f11776]) ).

fof(f20015,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | ~ sQ322_spl
      | neighborhood(union_of_members(ct),X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f6462]) ).

fof(f20016,plain,
    ! [X0] :
      ( ~ sQ269_spl
      | ~ sQ322_spl
      | neighborhood(empty_set,X0,cx,ct) ),
    inference(resolution,[status(thm)],[f19991,f5325]) ).

fof(f20017,plain,
    ! [X0] :
      ( ~ sQ303_spl
      | ~ sQ322_spl
      | ~ disjoint_s(X0,union_of_members(ct))
      | ~ neighborhood(X0,f19(cx,ct),cx,ct)
      | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f20015,f9569]) ).

fof(f20020,definition,
    ! [X0] :
      ( sQ1117_spl
    <=> ( ~ disjoint_s(X0,union_of_members(ct))
        | ~ neighborhood(X0,f19(cx,ct),cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ1117_spl])],[split_symbol_definition]) ).

fof(f20021,plain,
    ! [X0] :
      ( ~ sQ1117_spl
      | ~ disjoint_s(X0,union_of_members(ct))
      | ~ neighborhood(X0,f19(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f20020]) ).

fof(f20023,plain,
    ( ~ sQ303_spl
    | ~ sQ322_spl
    | sQ1117_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20017,f1093,f20020,f7030,f6461]) ).

fof(f20024,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5)
      | ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_set(X4,interior(X5,X1,X2))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12206,f4238]) ).

fof(f20025,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3038,f136]) ).

fof(f20026,plain,
    ( sQ13_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f20025,f4436,f1367]) ).

fof(f20035,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | topological_space(cx,ct)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6914,f142]) ).

fof(f20036,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | open(relative_complement_sets(f14(X1,cx,ct,X0),cx),cx,ct)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f6914,f143]) ).

fof(f20037,definition,
    ! [X0,X1] :
      ( sQ1118_spl
    <=> element_of_set(X0,closure(X1,cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ1118_spl])],[split_symbol_definition]) ).

fof(f20038,plain,
    ! [X0,X1] :
      ( ~ sQ1118_spl
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(component_clause,[status(thm)],[f20037]) ).

fof(f20040,plain,
    ( ~ sQ61_spl
    | sQ13_spl
    | sQ1118_spl ),
    inference(split_clause,[status(thm)],[f20035,f20037,f1367,f4237]) ).

fof(f20041,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f321]) ).

fof(f20042,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f324]) ).

fof(f20043,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f325]) ).

fof(f20044,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f326]) ).

fof(f20045,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f327]) ).

fof(f20046,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f310]) ).

fof(f20047,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f314]) ).

fof(f20048,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f329]) ).

fof(f20049,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f334]) ).

fof(f20050,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f306]) ).

fof(f20051,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f311]) ).

fof(f20052,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f315]) ).

fof(f20053,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f330]) ).

fof(f20054,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f335]) ).

fof(f20055,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f307]) ).

fof(f20056,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),cx),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f274]) ).

fof(f20057,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1148,f4345]) ).

fof(f20058,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3037,f136]) ).

fof(f20059,plain,
    ( sQ13_spl
    | sQ317_spl ),
    inference(split_clause,[status(thm)],[f20058,f6885,f1367]) ).

fof(f20060,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f321]) ).

fof(f20061,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f324]) ).

fof(f20062,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f325]) ).

fof(f20063,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f326]) ).

fof(f20064,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(f2(ct,X3),cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f327]) ).

fof(f20065,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f310]) ).

fof(f20066,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f314]) ).

fof(f20067,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f329]) ).

fof(f20068,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f334]) ).

fof(f20069,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f306]) ).

fof(f20070,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f311]) ).

fof(f20071,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X3)))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f315]) ).

fof(f20072,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f330]) ).

fof(f20073,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X3),cx))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f335]) ).

fof(f20074,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,f2(ct,X3))),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f307]) ).

fof(f20075,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),cx),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f274]) ).

fof(f20076,plain,
    ! [X0,X1,X2] :
      ( ~ sQ84_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f15272,f4345]) ).

fof(f20078,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ898_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f18170,f15272]) ).

fof(f20079,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f18170,f1148]) ).

fof(f20080,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f15272]) ).

fof(f20081,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f320,f1148]) ).

fof(f20082,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f15272]) ).

fof(f20083,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2901,f1148]) ).

fof(f20084,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f15272]) ).

fof(f20085,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f421,f1148]) ).

fof(f20086,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f15272]) ).

fof(f20087,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f420,f1148]) ).

fof(f20088,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f15272]) ).

fof(f20089,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f13352,f1148]) ).

fof(f20090,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f15272]) ).

fof(f20091,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2776,f1148]) ).

fof(f20092,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f15272]) ).

fof(f20093,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f2486,f1148]) ).

fof(f20094,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f15272]) ).

fof(f20095,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f459,f1148]) ).

fof(f20096,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f15272]) ).

fof(f20097,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f458,f1148]) ).

fof(f20098,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f15272]) ).

fof(f20099,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f583,f1148]) ).

fof(f20100,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f15272]) ).

fof(f20101,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f582,f1148]) ).

fof(f20102,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f15272]) ).

fof(f20103,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f533,f1148]) ).

fof(f20104,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f15272]) ).

fof(f20105,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f532,f1148]) ).

fof(f20109,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f15272]) ).

fof(f20110,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f10(ct,cx,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16643,f1148]) ).

fof(f20111,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f10(ct,cx,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f16643]) ).

fof(f20112,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_sets(f2(ct,X0),f1(ct,f11(X1,intersection_of_members(ct)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f18170]) ).

fof(f20113,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f532]) ).

fof(f20114,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f533]) ).

fof(f20115,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f582]) ).

fof(f20116,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f583]) ).

fof(f20117,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f458]) ).

fof(f20118,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f459]) ).

fof(f20119,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2486]) ).

fof(f20120,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2776]) ).

fof(f20121,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f13352]) ).

fof(f20122,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f420]) ).

fof(f20123,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f421]) ).

fof(f20124,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f2901]) ).

fof(f20125,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f320]) ).

fof(f20126,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f321]) ).

fof(f20127,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f324]) ).

fof(f20128,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f325]) ).

fof(f20129,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),empty_set)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f326]) ).

fof(f20130,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(f2(ct,X1),cx)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f327]) ).

fof(f20131,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f310]) ).

fof(f20132,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f314]) ).

fof(f20133,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f329]) ).

fof(f20134,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f334]) ).

fof(f20135,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f306]) ).

fof(f20136,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f311]) ).

fof(f20137,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f315]) ).

fof(f20138,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f330]) ).

fof(f20139,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f335]) ).

fof(f20140,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,f2(ct,X1))),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f308,f307]) ).

fof(f20143,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f308]) ).

fof(f20144,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f15272]) ).

fof(f20145,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f10(ct,empty_set,f11(X0,intersection_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f16645,f1148]) ).

fof(f20146,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f4369,f136]) ).

fof(f20147,plain,
    ( sQ13_spl
    | sQ470_spl ),
    inference(split_clause,[status(thm)],[f20146,f11969,f1367]) ).

fof(f20160,plain,
    ! [X0,X1] :
      ( ~ sQ324_spl
      | neighborhood(f13(X0,cx,ct,f11(X1,interior(X0,cx,ct))),f11(X1,interior(X0,cx,ct)),cx,ct)
      | element_of_collection(interior(X0,cx,ct),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f12205,f19831]) ).

fof(f20161,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X1,intersection_of_members(ct)),X0),X0,cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2476,f7114]) ).

fof(f20162,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X1,intersection_of_members(ct)),X0),f18(cx,ct,f11(X1,intersection_of_members(ct)),X0))
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2475,f7114]) ).

fof(f20163,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X1,intersection_of_members(ct)),X0),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f2477,f7114]) ).

fof(f20164,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f2(ct,X0)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f308]) ).

fof(f20165,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f2(ct,X0)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f15272]) ).

fof(f20166,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f2(ct,X0)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f119,f1148]) ).

fof(f20167,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f17(cx,ct,f11(X0,cx),X1),f11(X0,cx),cx,ct)
      | eq_p(f11(X0,cx),X1)
      | ~ element_of_set(X1,cx)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f165,f2477]) ).

fof(f20168,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | disjoint_s(f17(cx,ct,f11(X0,cx),X1),f18(cx,ct,f11(X0,cx),X1))
      | eq_p(f11(X0,cx),X1)
      | ~ element_of_set(X1,cx)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f165,f2475]) ).

fof(f20169,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | neighborhood(f18(cx,ct,f11(X0,cx),X1),X1,cx,ct)
      | eq_p(f11(X0,cx),X1)
      | ~ element_of_set(X1,cx)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f165,f2476]) ).

fof(f20170,plain,
    ! [X0,X1,X2,X3,X4] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2)))),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f12205]) ).

fof(f20171,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3))),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f15276]) ).

fof(f20172,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,interior(X0,X1,X2)),f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f180]) ).

fof(f20174,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,boundary(X0,X1,X2)),closure(relative_complement_sets(X0,X1),X1,X2))
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f214]) ).

fof(f20185,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X6))
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),empty_set,f11(X6,intersection_of_members(ct))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f16645]) ).

fof(f20186,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X6))
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),cx,f11(X6,intersection_of_members(ct))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f16643]) ).

fof(f20187,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ898_spl
      | element_of_collection(intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X6,intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f18170]) ).

fof(f20188,plain,
    ! [X0,X1,X2] :
      ( ~ sQ84_spl
      | element_of_set(X2,empty_set)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f15281,f4345]) ).

fof(f20189,plain,
    ( ~ sQ84_spl
    | sQ269_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f20188,f4291,f5324,f4344]) ).

fof(f20191,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f308]) ).

fof(f20192,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f15272]) ).

fof(f20193,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,union_of_members(ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f1083,f1148]) ).

fof(f20196,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f308]) ).

fof(f20197,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,f11(X0,empty_set))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f15272]) ).

fof(f20198,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),f1(ct,f11(X0,empty_set))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3201,f1148]) ).

fof(f20199,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f6911,f271]) ).

fof(f20200,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6))) ),
    inference(resolution,[status(thm)],[f3199,f15531]) ).

fof(f20201,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),union_of_members(subspace_topology(X2,X3,X4))) ),
    inference(resolution,[status(thm)],[f3199,f3026]) ).

fof(f20202,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),closure(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f3032]) ).

fof(f20204,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f10(X1,empty_set,f11(X2,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f3199,f16645]) ).

fof(f20205,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f10(X1,cx,f11(X2,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f3199,f16643]) ).

fof(f20206,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f3201]) ).

fof(f20207,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,f11(X2,union_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f3199,f1083]) ).

fof(f20208,plain,
    ! [X0,X1,X2] :
      ( ~ sQ898_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,f11(X2,intersection_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f3199,f18170]) ).

fof(f20209,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),boundary(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f1086]) ).

fof(f20210,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X4,X5)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),interior(X2,X3,subspace_topology(X4,X5,X6))) ),
    inference(resolution,[status(thm)],[f3199,f12208]) ).

fof(f20211,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3199,f1088]) ).

fof(f20212,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f532]) ).

fof(f20213,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),empty_set),cx)) ),
    inference(resolution,[status(thm)],[f3199,f533]) ).

fof(f20214,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f582]) ).

fof(f20215,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(f2(ct,X1),cx),cx)) ),
    inference(resolution,[status(thm)],[f3199,f583]) ).

fof(f20216,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f458]) ).

fof(f20217,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X1)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f459]) ).

fof(f20218,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f2486]) ).

fof(f20219,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f2776]) ).

fof(f20220,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f13352]) ).

fof(f20221,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f420]) ).

fof(f20222,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,f2(ct,X1)),cx)) ),
    inference(resolution,[status(thm)],[f3199,f421]) ).

fof(f20223,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f2901]) ).

fof(f20224,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,cx))) ),
    inference(resolution,[status(thm)],[f3199,f320]) ).

fof(f20225,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f321]) ).

fof(f20226,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,cx))) ),
    inference(resolution,[status(thm)],[f3199,f324]) ).

fof(f20227,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f325]) ).

fof(f20228,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),empty_set)) ),
    inference(resolution,[status(thm)],[f3199,f326]) ).

fof(f20229,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(f2(ct,X1),cx)) ),
    inference(resolution,[status(thm)],[f3199,f327]) ).

fof(f20230,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f310]) ).

fof(f20231,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f314]) ).

fof(f20232,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f329]) ).

fof(f20233,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,intersection_of_sets(f2(ct,X1),cx))) ),
    inference(resolution,[status(thm)],[f3199,f334]) ).

fof(f20234,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f306]) ).

fof(f20235,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f311]) ).

fof(f20236,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X1)))) ),
    inference(resolution,[status(thm)],[f3199,f315]) ).

fof(f20237,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),empty_set))) ),
    inference(resolution,[status(thm)],[f3199,f330]) ).

fof(f20238,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X1),cx))) ),
    inference(resolution,[status(thm)],[f3199,f335]) ).

fof(f20239,plain,
    ! [X0,X1] :
      ( element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,f2(ct,X1))) ),
    inference(resolution,[status(thm)],[f3199,f307]) ).

fof(f20240,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),cx) ),
    inference(resolution,[status(thm)],[f3199,f11959]) ).

fof(f20243,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3211,f136]) ).

fof(f20244,plain,
    ( sQ13_spl
    | sQ466_spl ),
    inference(split_clause,[status(thm)],[f20243,f11947,f1367]) ).

fof(f20245,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ468_spl
      | neighborhood(f17(cx,ct,f11(X1,intersection_of_members(top_of_basis(X0))),X2),f11(X1,intersection_of_members(top_of_basis(X0))),cx,ct)
      | eq_p(f11(X1,intersection_of_members(top_of_basis(X0))),X2)
      | ~ element_of_set(X2,cx)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20240,f2477]) ).

fof(f20246,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ468_spl
      | disjoint_s(f17(cx,ct,f11(X1,intersection_of_members(top_of_basis(X0))),X2),f18(cx,ct,f11(X1,intersection_of_members(top_of_basis(X0))),X2))
      | eq_p(f11(X1,intersection_of_members(top_of_basis(X0))),X2)
      | ~ element_of_set(X2,cx)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20240,f2475]) ).

fof(f20247,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ468_spl
      | neighborhood(f18(cx,ct,f11(X1,intersection_of_members(top_of_basis(X0))),X2),X2,cx,ct)
      | eq_p(f11(X1,intersection_of_members(top_of_basis(X0))),X2)
      | ~ element_of_set(X2,cx)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20240,f2476]) ).

fof(f20248,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,interior(X0,X1,X2)),f1(X2,f11(X3,interior(X0,X1,X2))))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f15814,f113]) ).

fof(f20249,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f308]) ).

fof(f20250,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f15272]) ).

fof(f20251,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(cx,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f1148]) ).

fof(f20252,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(cx,f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3229,f3199]) ).

fof(f20253,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f308]) ).

fof(f20254,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f15272]) ).

fof(f20255,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f1148]) ).

fof(f20256,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(empty_set,f1(ct,f11(X0,empty_set))))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f3230,f3199]) ).

fof(f20257,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f308]) ).

fof(f20258,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f15272]) ).

fof(f20259,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f1148]) ).

fof(f20260,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),empty_set))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5864,f3199]) ).

fof(f20261,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f308]) ).

fof(f20262,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f15272]) ).

fof(f20263,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx)),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f1148]) ).

fof(f20264,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),cx))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f5865,f3199]) ).

fof(f20265,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(X8,f13(X0,X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),f11(X7,interior(X0,X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6)))))
      | topological_space(X3,X4)
      | element_of_collection(interior(X0,X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),top_of_basis(X7)) ),
    inference(resolution,[status(thm)],[f12204,f15281]) ).

fof(f20266,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f308]) ).

fof(f20267,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f12(X4,ct,X5,f2(subspace_topology(X4,ct,X5),X3)),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_set(X3,intersection_of_members(subspace_topology(X4,ct,X5)))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f15272]) ).

fof(f20268,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f13(X0,X1,ct,f11(X2,interior(X0,X1,ct)))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,ct),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f12204,f1148]) ).

fof(f20269,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(X2)),f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f12204,f3199]) ).

fof(f20271,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f4076,f309]) ).

fof(f20273,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20271]) ).

fof(f20275,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f2(ct,X3),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f308]) ).

fof(f20276,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_sets(f12(X4,ct,X5,f2(subspace_topology(X4,ct,X5),X3)),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_set(X3,intersection_of_members(subspace_topology(X4,ct,X5)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f15272]) ).

fof(f20277,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X3,union_of_members(ct))),f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f13999,f1148]) ).

fof(f20278,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_of_members(X2)),f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f13999,f3199]) ).

fof(f20315,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f6909,f165]) ).

fof(f20324,plain,
    ! [X0,X1,X2] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,X2))),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6867,f308]) ).

fof(f20325,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,X4))),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6867,f15272]) ).

fof(f20326,plain,
    ! [X0,X1,X2] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f1(ct,f11(X1,union_of_members(ct))),intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,X2))),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6867,f1148]) ).

fof(f20327,plain,
    ! [X0,X1,X2] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(ct)),intersection_of_sets(f1(ct,f11(X0,empty_set)),f1(ct,X2)))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f6867,f3199]) ).

fof(f20328,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(X1,X0)),f1(X1,f11(X2,f2(X1,X0))))
      | element_of_collection(f2(X1,X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1131,f113]) ).

fof(f20329,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f11(X1,intersection_of_members(ct)),cx,ct) ),
    inference(resolution,[status(thm)],[f9382,f4076]) ).

fof(f20330,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_collection(f2(ct,X0),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f11(X1,f2(ct,X0)),cx,ct) ),
    inference(resolution,[status(thm)],[f9382,f165]) ).

fof(f20331,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),f11(X1,intersection_of_members(ct)),cx,ct) ),
    inference(duplicate_literals_removal,[status(thm)],[f20329]) ).

fof(f20333,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1382,f4238]) ).

fof(f20334,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,ct),X1),top_of_basis(X2))
      | eq_p(f11(X2,intersection_of_sets(f16(X0,X1,cx,ct),X1)),X0)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f20333,f271]) ).

fof(f20335,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X3,interior(X0,X1,X2)),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f13997,f12205]) ).

fof(f20336,plain,
    ! [X0,X1,X2,X3] :
      ( neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f11(X3,interior(X0,X1,X2)),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20335]) ).

fof(f20338,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f275,f15272]) ).

fof(f20339,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_sets(f1(ct,f11(X0,union_of_members(ct))),empty_set),ct)
      | element_of_collection(union_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f275,f1148]) ).

fof(f20340,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),empty_set) ),
    inference(resolution,[status(thm)],[f275,f3199]) ).

fof(f20341,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),empty_set) ),
    inference(resolution,[status(thm)],[f11948,f3199]) ).

fof(f20356,plain,
    ! [X0,X1] :
      ( ~ sQ317_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6886,f3199]) ).

fof(f20359,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f2(ct,X0),f1(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f6795,f308]) ).

fof(f20360,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ303_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,X3)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f6795,f15272]) ).

fof(f20362,plain,
    ! [X0,X1] :
      ( ~ sQ470_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f11970,f3199]) ).

fof(f20364,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f280,f15272]) ).

fof(f20365,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,cx)) ),
    inference(resolution,[status(thm)],[f280,f3199]) ).

fof(f20367,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(empty_set,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f279,f15272]) ).

fof(f20368,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(empty_set,empty_set)) ),
    inference(resolution,[status(thm)],[f279,f3199]) ).

fof(f20370,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,cx)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f288,f15272]) ).

fof(f20371,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,cx)) ),
    inference(resolution,[status(thm)],[f288,f3199]) ).

fof(f20373,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),intersection_of_sets(cx,empty_set)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f287,f15272]) ).

fof(f20374,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),intersection_of_sets(cx,empty_set)) ),
    inference(resolution,[status(thm)],[f287,f3199]) ).

fof(f20380,plain,
    ! [X0] :
      ( ~ sQ908_spl
      | topological_space(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f241,f17723]) ).

fof(f20381,plain,
    ! [X0] :
      ( ~ sQ907_spl
      | topological_space(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f241,f17719]) ).

fof(f20382,plain,
    ! [X0] :
      ( ~ sQ905_spl
      | topological_space(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f241,f17711]) ).

fof(f20383,plain,
    ! [X0] :
      ( ~ sQ904_spl
      | topological_space(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f241,f17707]) ).

fof(f20384,plain,
    ! [X0] :
      ( ~ sQ919_spl
      | topological_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f241,f18008]) ).

fof(f20385,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | topological_space(cx,X0) ),
    inference(resolution,[status(thm)],[f241,f17727]) ).

fof(f20386,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | topological_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f241,f17687]) ).

fof(f20387,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | ~ subset_collections(ct,X0)
      | finer(X0,ct,cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f16930,f20385]) ).

fof(f20388,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20385,f123]) ).

fof(f20389,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | element_of_collection(cx,X0) ),
    inference(resolution,[status(thm)],[f20385,f124]) ).

fof(f20390,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ909_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,X2),X1),top_of_basis(X3))
      | eq_p(f11(X3,intersection_of_sets(f16(X0,X1,cx,X2),X1)),X0)
      | limit_point(X0,X1,cx,X2) ),
    inference(resolution,[status(thm)],[f20385,f20333]) ).

fof(f20391,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ909_spl
      | closed(f14(X1,cx,X2,X0),cx,X2)
      | element_of_set(X0,closure(X1,cx,X2)) ),
    inference(resolution,[status(thm)],[f20385,f6910]) ).

fof(f20392,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ909_spl
      | neighborhood(f16(X0,X1,cx,X2),X0,cx,X2)
      | limit_point(X0,X1,cx,X2) ),
    inference(resolution,[status(thm)],[f20385,f6911]) ).

fof(f20394,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | open_covering(f24(cx,X0),cx,X0)
      | compact_space(cx,X0) ),
    inference(resolution,[status(thm)],[f20385,f263]) ).

fof(f20395,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | element_of_set(f20(cx,X0),cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f20385,f221]) ).

fof(f20396,plain,
    ! [X0] :
      ( ~ sQ909_spl
      | element_of_set(f19(cx,X0),cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f20385,f220]) ).

fof(f20397,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20386,f123]) ).

fof(f20398,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20386,f124]) ).

fof(f20399,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ899_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,empty_set,X2),X1),top_of_basis(X3))
      | eq_p(f11(X3,intersection_of_sets(f16(X0,X1,empty_set,X2),X1)),X0)
      | limit_point(X0,X1,empty_set,X2) ),
    inference(resolution,[status(thm)],[f20386,f20333]) ).

fof(f20400,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ899_spl
      | closed(f14(X1,empty_set,X2,X0),empty_set,X2)
      | element_of_set(X0,closure(X1,empty_set,X2)) ),
    inference(resolution,[status(thm)],[f20386,f6910]) ).

fof(f20401,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ899_spl
      | neighborhood(f16(X0,X1,empty_set,X2),X0,empty_set,X2)
      | limit_point(X0,X1,empty_set,X2) ),
    inference(resolution,[status(thm)],[f20386,f6911]) ).

fof(f20403,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | open_covering(f24(empty_set,X0),empty_set,X0)
      | compact_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20386,f263]) ).

fof(f20404,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | element_of_set(f20(empty_set,X0),empty_set)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20386,f221]) ).

fof(f20405,plain,
    ! [X0] :
      ( ~ sQ899_spl
      | element_of_set(f19(empty_set,X0),empty_set)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20386,f220]) ).

fof(f20406,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f129,f20388]) ).

fof(f20407,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f130,f20388]) ).

fof(f20408,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f131,f20388]) ).

fof(f20409,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f132,f20388]) ).

fof(f20410,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f133,f20388]) ).

fof(f20411,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | element_of_set(X2,empty_set)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20388,f15281]) ).

fof(f20413,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f20388,f15272]) ).

fof(f20414,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),empty_set) ),
    inference(resolution,[status(thm)],[f20388,f3199]) ).

fof(f20415,plain,
    ( ~ sQ909_spl
    | sQ269_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f20411,f4291,f5324,f17726]) ).

fof(f20416,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ61_spl
      | ~ element_of_set(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
      | element_of_set(X5,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X0),X2,X3))
      | element_of_collection(interior(X1,X2,X3),top_of_basis(X4))
      | element_of_set(X0,closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17332,f4238]) ).

fof(f20417,plain,
    ( ~ sQ120_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f12071,f4291,f4728]) ).

fof(f20418,plain,
    ( ~ sQ123_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f12073,f4291,f4740]) ).

fof(f20419,plain,
    ( ~ sQ114_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f12074,f4291,f4705]) ).

fof(f20420,plain,
    ! [X0,X1,X2] :
      ( ~ sQ968_spl
      | ~ sQ437_spl
      | neighborhood(union_of_members(top_of_basis(X0)),X2,cx,ct)
      | connected_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18294,f11776]) ).

fof(f20421,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ323_spl
      | ~ neighborhood(X4,X0,X2,X3)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f207,f7035]) ).

fof(f20422,plain,
    ! [X0,X1] :
      ( ~ sQ321_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f216,f7028]) ).

fof(f20423,plain,
    ( ~ sQ321_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f20422,f4291,f7027]) ).

fof(f20424,plain,
    ! [X0,X1,X2] :
      ( ~ sQ899_spl
      | element_of_set(X2,empty_set)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20397,f15281]) ).

fof(f20426,plain,
    ! [X0,X1,X2] :
      ( ~ sQ899_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f20397,f15272]) ).

fof(f20427,plain,
    ! [X0,X1] :
      ( ~ sQ899_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),empty_set) ),
    inference(resolution,[status(thm)],[f20397,f3199]) ).

fof(f20428,plain,
    ( ~ sQ899_spl
    | sQ269_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f20424,f4291,f5324,f17686]) ).

fof(f20430,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),empty_set),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f275,f15272]) ).

fof(f20431,plain,
    ! [X0] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(ct)),empty_set) ),
    inference(resolution,[status(thm)],[f275,f3199]) ).

fof(f20434,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f271,f6911]) ).

fof(f20440,plain,
    ! [X0] :
      ( ~ sQ919_spl
      | element_of_collection(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f20384,f124]) ).

fof(f20441,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ919_spl
      | closed(f14(X1,union_of_members(ct),X2,X0),union_of_members(ct),X2)
      | element_of_set(X0,closure(X1,union_of_members(ct),X2)) ),
    inference(resolution,[status(thm)],[f20384,f6910]) ).

fof(f20442,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ919_spl
      | neighborhood(f16(X0,X1,union_of_members(ct),X2),X0,union_of_members(ct),X2)
      | limit_point(X0,X1,union_of_members(ct),X2) ),
    inference(resolution,[status(thm)],[f20384,f6911]) ).

fof(f20444,plain,
    ! [X0] :
      ( ~ sQ919_spl
      | open_covering(f24(union_of_members(ct),X0),union_of_members(ct),X0)
      | compact_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f20384,f263]) ).

fof(f20445,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ971_spl
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18503,f15281]) ).

fof(f20446,plain,
    ! [X0,X1] :
      ( ~ sQ971_spl
      | element_of_collection(intersection_of_sets(f2(ct,X0),f1(ct,X1)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f18503,f308]) ).

fof(f20447,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ971_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),f1(ct,X3)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f18503,f15272]) ).

fof(f20448,plain,
    ! [X0,X1,X2] :
      ( ~ sQ971_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),f1(X1,X2)) ),
    inference(resolution,[status(thm)],[f18503,f3199]) ).

fof(f20449,plain,
    ! [X0,X1] :
      ( ~ sQ466_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),empty_set) ),
    inference(resolution,[status(thm)],[f11948,f3199]) ).

fof(f20450,plain,
    ! [X0,X1,X2] :
      ( ~ sQ919_spl
      | element_of_set(X2,union_of_members(ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20440,f15281]) ).

fof(f20451,plain,
    ! [X0] :
      ( ~ sQ919_spl
      | element_of_collection(intersection_of_sets(f2(ct,X0),union_of_members(ct)),ct)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20440,f308]) ).

fof(f20452,plain,
    ! [X0,X1,X2] :
      ( ~ sQ919_spl
      | element_of_collection(intersection_of_sets(f12(X1,ct,X2,f2(subspace_topology(X1,ct,X2),X0)),union_of_members(ct)),ct)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,ct,X2))) ),
    inference(resolution,[status(thm)],[f20440,f15272]) ).

fof(f20453,plain,
    ! [X0,X1] :
      ( ~ sQ919_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20440,f3199]) ).

fof(f20454,plain,
    ( ~ sQ919_spl
    | sQ303_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f20450,f4291,f6461,f18007]) ).

fof(f20455,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f4238]) ).

fof(f20456,plain,
    ! [X0,X1] :
      ( ~ sQ908_spl
      | ~ sQ61_spl
      | ~ topological_space(X0,X1)
      | connected_set(intersection_of_sets(empty_set,empty_set),X0,X1) ),
    inference(resolution,[status(thm)],[f20455,f17723]) ).

fof(f20457,plain,
    ! [X0,X1] :
      ( ~ sQ907_spl
      | ~ sQ61_spl
      | ~ topological_space(X0,X1)
      | connected_set(intersection_of_sets(empty_set,cx),X0,X1) ),
    inference(resolution,[status(thm)],[f20455,f17719]) ).

fof(f20458,plain,
    ! [X0,X1] :
      ( ~ sQ905_spl
      | ~ sQ61_spl
      | ~ topological_space(X0,X1)
      | connected_set(intersection_of_sets(cx,cx),X0,X1) ),
    inference(resolution,[status(thm)],[f20455,f17711]) ).

fof(f20459,plain,
    ! [X0,X1] :
      ( ~ sQ904_spl
      | ~ sQ61_spl
      | ~ topological_space(X0,X1)
      | connected_set(intersection_of_sets(cx,empty_set),X0,X1) ),
    inference(resolution,[status(thm)],[f20455,f17707]) ).

fof(f20460,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f11(X1,X0),X2)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f167,f4238]) ).

fof(f20461,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_collection(f2(X0,X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f20460,f1131]) ).

fof(f20462,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | ~ element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X3)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f20460,f13997]) ).

fof(f20463,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | ~ element_of_collection(union_of_members(X2),X3)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f20460,f15814]) ).

fof(f20464,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
      | ~ element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f20460,f16941]) ).

fof(f20465,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
      | ~ element_of_collection(closure(X0,X1,X2),X3)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f20460,f1085]) ).

fof(f20466,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ element_of_collection(cx,X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f20240]) ).

fof(f20467,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ element_of_collection(f2(X0,X2),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f4076]) ).

fof(f20468,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f17639]) ).

fof(f20469,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f165]) ).

fof(f20470,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ916_spl
      | ~ sQ61_spl
      | connected_space(X2,X3)
      | ~ element_of_collection(f22(X2,X3),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f17910]) ).

fof(f20471,plain,
    ! [X0,X1,X2] :
      ( ~ sQ324_spl
      | ~ sQ61_spl
      | ~ element_of_collection(f13(X2,cx,ct,f11(X1,X0)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f19831]) ).

fof(f20472,plain,
    ! [X0,X1,X2] :
      ( ~ sQ324_spl
      | ~ sQ61_spl
      | ~ element_of_collection(interior(X2,cx,ct),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f7075]) ).

fof(f20473,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ61_spl
      | topological_space(X4,X5)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7),X8)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f15554]) ).

fof(f20474,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ61_spl
      | topological_space(X3,X4)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f15261]) ).

fof(f20475,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | topological_space(X2,X3)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,X3,X4)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f3027]) ).

fof(f20476,plain,
    ! [X0,X1,X2] :
      ( ~ sQ110_spl
      | ~ sQ61_spl
      | ~ element_of_collection(intersection_of_members(top_of_basis(X2)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f4689]) ).

fof(f20477,plain,
    ! [X0,X1,X2] :
      ( ~ sQ972_spl
      | ~ sQ61_spl
      | ~ element_of_collection(f1(X2,f11(X1,X0)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f18507]) ).

fof(f20478,plain,
    ! [X0,X1,X2] :
      ( ~ sQ437_spl
      | ~ sQ61_spl
      | ~ element_of_collection(union_of_members(top_of_basis(X2)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f11776]) ).

fof(f20479,plain,
    ! [X0,X1] :
      ( ~ sQ303_spl
      | ~ sQ61_spl
      | ~ element_of_collection(union_of_members(ct),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f6462]) ).

fof(f20480,plain,
    ! [X0,X1] :
      ( ~ sQ269_spl
      | ~ sQ61_spl
      | ~ element_of_collection(empty_set,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f20460,f5325]) ).

fof(f20481,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20461]) ).

fof(f20482,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X3)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20462]) ).

fof(f20483,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ element_of_collection(union_of_members(X2),X3)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20463]) ).

fof(f20484,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20464]) ).

fof(f20485,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ element_of_collection(closure(X0,X1,X2),X3)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20465]) ).

fof(f20486,plain,
    ! [X0,X1] :
      ( ~ sQ468_spl
      | ~ sQ61_spl
      | ~ element_of_collection(cx,X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20466]) ).

fof(f20487,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | element_of_set(X2,intersection_of_members(X0))
      | ~ element_of_collection(f2(X0,X2),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20467]) ).

fof(f20488,plain,
    ! [X0,X1] :
      ( ~ sQ898_spl
      | ~ sQ61_spl
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20468]) ).

fof(f20489,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f20469]) ).

fof(f20490,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ914_spl
      | ~ topological_space(X1,X2)
      | connected_set(f2(ct,X0),X1,X2)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17747,f20455]) ).

fof(f20491,plain,
    ! [X0,X1] :
      ( ~ sQ914_spl
      | topological_space(f2(ct,X0),X1)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f17747,f241]) ).

fof(f20492,plain,
    ! [X0,X1] :
      ( ~ sQ914_spl
      | element_of_collection(f2(ct,X0),X1)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20491,f124]) ).

fof(f20493,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ914_spl
      | closed(f14(X2,f2(ct,X0),X3,X1),f2(ct,X0),X3)
      | element_of_set(X1,closure(X2,f2(ct,X0),X3))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20491,f6910]) ).

fof(f20494,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ914_spl
      | neighborhood(f16(X1,X2,f2(ct,X0),X3),X1,f2(ct,X0),X3)
      | limit_point(X1,X2,f2(ct,X0),X3)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20491,f6911]) ).

fof(f20496,plain,
    ! [X0,X1] :
      ( ~ sQ914_spl
      | open_covering(f24(f2(ct,X0),X1),f2(ct,X0),X1)
      | compact_space(f2(ct,X0),X1)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20491,f263]) ).

fof(f20497,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ914_spl
      | element_of_set(X3,f2(ct,X0))
      | topological_space(X1,X2)
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20492,f15281]) ).

fof(f20498,plain,
    ! [X0,X1] :
      ( ~ sQ914_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f2(ct,X0)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20492,f308]) ).

fof(f20499,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ914_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f2(ct,X0)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20492,f15272]) ).

fof(f20500,plain,
    ! [X0,X1,X2] :
      ( ~ sQ914_spl
      | element_of_collection(intersection_of_members(X2),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(X2)),f2(ct,X0))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20492,f3199]) ).

fof(f20501,definition,
    ! [X0,X3] :
      ( sQ1119_spl
    <=> ( element_of_set(X3,f2(ct,X0))
        | element_of_set(X0,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1119_spl])],[split_symbol_definition]) ).

fof(f20502,plain,
    ! [X0,X1] :
      ( ~ sQ1119_spl
      | element_of_set(X1,f2(ct,X0))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(component_clause,[status(thm)],[f20501]) ).

fof(f20504,plain,
    ( ~ sQ914_spl
    | sQ71_spl
    | sQ1119_spl ),
    inference(split_clause,[status(thm)],[f20497,f20501,f4291,f17746]) ).

fof(f20505,plain,
    ! [X0,X1] :
      ( ~ sQ384_spl
      | ~ sQ1119_spl
      | element_of_set(X0,intersection_of_members(ct))
      | neighborhood(f2(ct,X0),X1,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f9382,f20502]) ).

fof(f20506,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ1119_spl
      | ~ element_of_collection(f2(ct,X0),X2)
      | element_of_collection(X1,top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20502,f20460]) ).

fof(f20507,plain,
    ! [X0] :
      ( ~ sQ1119_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(ct)) ),
    inference(resolution,[status(thm)],[f20502,f120]) ).

fof(f20509,plain,
    ( ~ sQ1119_spl
    | sQ484_spl ),
    inference(split_clause,[status(thm)],[f20507,f12081,f20501]) ).

fof(f20511,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ61_spl
      | eq_p(X5,X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | connected_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17653,f4238]) ).

fof(f20512,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ61_spl
      | eq_p(X5,X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | connected_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18321,f4238]) ).

fof(f20513,definition,
    ! [X2,X3] :
      ( sQ1120_spl
    <=> element_of_set(X2,union_of_members(X3)) ),
    introduced(definition,[new_symbols(definition,[sQ1120_spl])],[split_symbol_definition]) ).

fof(f20514,plain,
    ! [X0,X1] :
      ( ~ sQ1120_spl
      | element_of_set(X0,union_of_members(X1)) ),
    inference(component_clause,[status(thm)],[f20513]) ).

fof(f20516,plain,
    ( ~ sQ71_spl
    | ~ sQ896_spl
    | sQ1120_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18427,f7030,f20513,f17627,f4291]) ).

fof(f20517,plain,
    ( ~ sQ88_spl
    | sQ270_spl ),
    inference(split_clause,[status(thm)],[f6851,f5328,f4436]) ).

fof(f20518,plain,
    ( ~ sQ88_spl
    | sQ269_spl ),
    inference(split_clause,[status(thm)],[f6850,f5324,f4436]) ).

fof(f20520,definition,
    ! [X2,X3] :
      ( sQ1121_spl
    <=> ~ disjoint_s(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1121_spl])],[split_symbol_definition]) ).

fof(f20523,plain,
    ( ~ sQ71_spl
    | ~ sQ88_spl
    | sQ1121_spl
    | sQ321_spl ),
    inference(split_clause,[status(thm)],[f7024,f7027,f20520,f4436,f4291]) ).

fof(f20524,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ485_spl
      | ~ sQ61_spl
      | ~ element_of_set(X6,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
      | element_of_set(X6,interior(X0,X3,X4))
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18442,f4238]) ).

fof(f20525,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ485_spl
      | ~ sQ61_spl
      | ~ element_of_set(X6,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
      | element_of_set(X6,interior(X0,X3,X4))
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | element_of_collection(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18451,f4238]) ).

fof(f20526,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ485_spl
      | ~ sQ61_spl
      | ~ element_of_set(X6,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
      | element_of_set(X6,interior(X1,X3,X4))
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | equal_sets(union_of_members(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18512,f4238]) ).

fof(f20527,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ485_spl
      | ~ sQ61_spl
      | ~ element_of_set(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
      | element_of_set(X5,interior(X0,X2,X3))
      | element_of_collection(interior(X1,X2,X3),top_of_basis(X4))
      | open(X0,cx,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18677,f4238]) ).

fof(f20528,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7003,f4238]) ).

fof(f20529,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X0,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X0,X4),X3)),X2)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17218,f4238]) ).

fof(f20530,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | closed(f14(X3,X0,X4,X2),X0,X4)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17219,f4238]) ).

fof(f20531,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17220,f4238]) ).

fof(f20532,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X0,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X0,X4),X3)),X2)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17580,f4238]) ).

fof(f20533,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | closed(f14(X3,X0,X4,X2),X0,X4)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17581,f4238]) ).

fof(f20534,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17582,f4238]) ).

fof(f20535,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17769,f4238]) ).

fof(f20536,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17810,f4238]) ).

fof(f20537,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X2,X3,X0,X4),X3),top_of_basis(X5))
      | eq_p(f11(X5,intersection_of_sets(f16(X2,X3,X0,X4),X3)),X2)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18377,f4238]) ).

fof(f20538,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | closed(f14(X3,X0,X4,X2),X0,X4)
      | element_of_set(X2,closure(X3,X0,X4))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18378,f4238]) ).

fof(f20539,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18379,f4238]) ).

fof(f20540,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18539,f4238]) ).

fof(f20541,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3)
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18580,f4238]) ).

fof(f20542,definition,
    ! [X2,X3] :
      ( sQ1122_spl
    <=> element_of_set(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1122_spl])],[split_symbol_definition]) ).

fof(f20543,plain,
    ! [X0,X1] :
      ( ~ sQ1122_spl
      | element_of_set(X0,X1) ),
    inference(component_clause,[status(thm)],[f20542]) ).

fof(f20546,plain,
    ( ~ sQ71_spl
    | sQ1122_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f18821,f4237,f20542,f4291]) ).

fof(f20547,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ486_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,cx,X2),X1),top_of_basis(X3))
      | eq_p(f11(X3,intersection_of_sets(f16(X0,X1,cx,X2),X1)),X0)
      | limit_point(X0,X1,cx,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f18774,f4238]) ).

fof(f20548,plain,
    ( ~ sQ897_spl
    | sQ437_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f18510,f4291,f11775,f17634]) ).

fof(f20550,plain,
    ( ~ sQ71_spl
    | ~ sQ916_spl
    | sQ1120_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18308,f7030,f20513,f17909,f4291]) ).

fof(f20551,plain,
    ( ~ sQ71_spl
    | ~ sQ915_spl
    | sQ1120_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f18304,f7030,f20513,f17871,f4291]) ).

fof(f20553,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f7(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | basis(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f19586,f12205]) ).

fof(f20554,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | element_of_set(f7(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | basis(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f19586,f15276]) ).

fof(f20555,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | topological_space(X1,X2)
      | basis(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f177]) ).

fof(f20556,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f7(interior(X0,X1,X2),X3),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
      | basis(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f180]) ).

fof(f20557,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X1,X2)
      | basis(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f182]) ).

fof(f20558,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | topological_space(X1,X2)
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f212]) ).

fof(f20559,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f7(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f214]) ).

fof(f20560,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f7(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19586,f213]) ).

fof(f20561,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f7(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | basis(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19586,f309]) ).

fof(f20562,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f19610,f12205]) ).

fof(f20563,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | element_of_set(f20(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f19610,f15276]) ).

fof(f20564,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | topological_space(X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f177]) ).

fof(f20565,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f180]) ).

fof(f20566,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f182]) ).

fof(f20567,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | topological_space(X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f212]) ).

fof(f20568,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f214]) ).

fof(f20569,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19610,f213]) ).

fof(f20570,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f20(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19610,f309]) ).

fof(f20571,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f19623,f12205]) ).

fof(f20572,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ322_spl
      | element_of_set(f19(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | hausdorff(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f19623,f15276]) ).

fof(f20574,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f180]) ).

fof(f20575,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X1,X2)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f182]) ).

fof(f20577,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f214]) ).

fof(f20578,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f19623,f213]) ).

fof(f20579,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | element_of_set(f19(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f19623,f309]) ).

fof(f20581,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1)
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f17620,f241]) ).

fof(f20582,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17620,f136]) ).

fof(f20583,plain,
    ( ~ sQ71_spl
    | sQ13_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f20582,f7030,f1367,f4291]) ).

fof(f20585,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(X0,X1)
      | open(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f20581,f124]) ).

fof(f20591,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(cx,ct)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20585,f136]) ).

fof(f20597,plain,
    ( ~ sQ71_spl
    | sQ13_spl
    | sQ85_spl ),
    inference(split_clause,[status(thm)],[f20591,f4348,f1367,f4291]) ).

fof(f20602,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ topological_space(X2,X3)
      | connected_set(X0,X2,X3)
      | neighborhood(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f18309,f20455]) ).

fof(f20603,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X0,X2)
      | neighborhood(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f18309,f241]) ).

fof(f20604,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | open(X0,cx,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18309,f197]) ).

fof(f20605,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X2,X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18309,f199]) ).

fof(f20606,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ topological_space(X2,X3)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20605,f20455]) ).

fof(f20607,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20605,f241]) ).

fof(f20608,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20605,f7244]) ).

fof(f20609,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20605,f7053]) ).

fof(f20610,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20605,f20460]) ).

fof(f20611,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f20605,f12205]) ).

fof(f20612,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_space(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f20605,f15276]) ).

fof(f20614,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20605,f180]) ).

fof(f20615,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | connected_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20605,f182]) ).

fof(f20617,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20605,f214]) ).

fof(f20618,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | connected_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20605,f213]) ).

fof(f20620,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20605,f309]) ).

fof(f20621,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | topological_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f7244]) ).

fof(f20622,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | topological_space(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f7053]) ).

fof(f20623,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20607,f20460]) ).

fof(f20624,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | topological_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f20607,f12205]) ).

fof(f20625,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | topological_space(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f20607,f15276]) ).

fof(f20626,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | topological_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f177]) ).

fof(f20627,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | topological_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f180]) ).

fof(f20628,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | topological_space(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f182]) ).

fof(f20629,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | topological_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f212]) ).

fof(f20630,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | topological_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f214]) ).

fof(f20631,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | topological_space(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20607,f213]) ).

fof(f20632,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X1,intersection_of_members(X0))
      | topological_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20607,f120]) ).

fof(f20633,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | topological_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20607,f309]) ).

fof(f20634,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,X2)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20607,f124]) ).

fof(f20635,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | closed(f14(X3,X1,X4,X2),X1,X4)
      | element_of_set(X2,closure(X3,X1,X4))
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20607,f6910]) ).

fof(f20636,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f16(X2,X3,X1,X4),X2,X1,X4)
      | limit_point(X2,X3,X1,X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20607,f6911]) ).

fof(f20638,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | open_covering(f24(X1,X2),X1,X2)
      | compact_space(X1,X2)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20607,f263]) ).

fof(f20639,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X2,X3)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f15281,f20634]) ).

fof(f20640,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(X1)),X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3199,f20634]) ).

fof(f20641,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | element_of_collection(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f7244]) ).

fof(f20642,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | element_of_collection(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f7053]) ).

fof(f20643,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20634,f20460]) ).

fof(f20644,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f20634,f12205]) ).

fof(f20645,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f20634,f15276]) ).

fof(f20646,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | element_of_collection(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f177]) ).

fof(f20647,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | element_of_collection(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f180]) ).

fof(f20648,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | element_of_collection(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f182]) ).

fof(f20649,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | element_of_collection(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f212]) ).

fof(f20650,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | element_of_collection(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f214]) ).

fof(f20651,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | element_of_collection(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20634,f213]) ).

fof(f20652,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20634,f120]) ).

fof(f20653,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20634,f309]) ).

fof(f20654,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(union_of_members(f5(X1,X2)),X2)
      | ~ element_of_collection(X1,X2)
      | ~ element_of_collection(empty_set,X2)
      | ~ equal_sets(union_of_members(X2),X1)
      | topological_space(X1,X2)
      | element_of_set(X0,intersection_of_sets(f3(X1,X2),f4(X1,X2))) ),
    inference(resolution,[status(thm)],[f20634,f134]) ).

fof(f20655,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X1),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20634,f308]) ).

fof(f20656,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X1),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20634,f15272]) ).

fof(f20657,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1122_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f20639,f4291,f20542,f17627,f17921]) ).

fof(f20663,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ322_spl
      | ~ sQ88_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | disjoint_s(f17(boundary(X2,X3,X4),X5,X0,X1),f18(boundary(X2,X3,X4),X5,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f6936,f20567]) ).

fof(f20664,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ322_spl
      | ~ sQ88_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | disjoint_s(f17(interior(X2,X3,X4),X5,X0,X1),f18(interior(X2,X3,X4),X5,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f6936,f20564]) ).

fof(f20665,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f19581,f142]) ).

fof(f20666,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | open(relative_complement_sets(f14(X1,X2,X3,X0),X2),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f19581,f143]) ).

fof(f20667,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X2,X3)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f20455]) ).

fof(f20668,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | topological_space(X0,X2)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f241]) ).

fof(f20669,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f17224,f134]) ).

fof(f20670,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f308]) ).

fof(f20671,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17224,f15272]) ).

fof(f20672,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f241,f17205]) ).

fof(f20673,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f244,f17205]) ).

fof(f20674,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X2,X3)
      | connected_set(X0,X2,X3)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f20455]) ).

fof(f20676,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | limit_point(X2,X3,X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17205,f6911]) ).

fof(f20677,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f134,f20668]) ).

fof(f20678,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f124,f20668]) ).

fof(f20679,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20668,f308]) ).

fof(f20680,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20668,f15272]) ).

fof(f20681,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | limit_point(X2,X3,X0,X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20668,f6911]) ).

fof(f20682,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X2,X3)
      | connected_set(X1,X2,X3)
      | equal_sets(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17222,f20455]) ).

fof(f20683,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f8(X0,X2),X2)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f158]) ).

fof(f20684,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(f9(X0,X2),X2)
      | basis(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17222,f159]) ).

fof(f20685,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f308]) ).

fof(f20686,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f22(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17207,f15272]) ).

fof(f20687,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f308]) ).

fof(f20688,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f21(X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17206,f15272]) ).

fof(f20689,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ topological_space(X3,X4)
      | connected_set(interior(X2,X0,X1),X3,X4)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18340,f20455]) ).

fof(f20690,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ topological_space(X3,X4)
      | connected_set(boundary(X2,X0,X1),X3,X4)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18345,f20455]) ).

fof(f20691,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ topological_space(X3,X4)
      | connected_set(closure(X2,X0,X1),X3,X4)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18353,f20455]) ).

fof(f20692,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ896_spl
      | ~ topological_space(X3,X4)
      | connected_set(X2,X3,X4)
      | element_of_set(X0,f10(X1,X2,X0)) ),
    inference(resolution,[status(thm)],[f18421,f20455]) ).

fof(f20693,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ896_spl
      | ~ element_of_collection(f10(X4,X0,f11(X3,X2)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18421,f20460]) ).

fof(f20694,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ896_spl
      | ~ topological_space(X3,X4)
      | connected_set(X1,X3,X4)
      | element_of_collection(f10(X0,X1,X2),X0) ),
    inference(resolution,[status(thm)],[f18422,f20455]) ).

fof(f20695,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f10(ct,X0,X3)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18422,f308]) ).

fof(f20696,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f10(ct,X0,X5)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18422,f15272]) ).

fof(f20697,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(f16(X2,X3,interior(X4,X0,X1),X5),X2,interior(X4,X0,X1),X5)
      | limit_point(X2,X3,interior(X4,X0,X1),X5)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18704,f6911]) ).

fof(f20698,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(f16(X2,X3,boundary(X4,X0,X1),X5),X2,boundary(X4,X0,X1),X5)
      | limit_point(X2,X3,boundary(X4,X0,X1),X5)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18708,f6911]) ).

fof(f20699,plain,
    ! [X0,X1] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | open(X0,cx,ct)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20603,f197]) ).

fof(f20701,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f16(X2,X3,X0,X4),X2,X0,X4)
      | limit_point(X2,X3,X0,X4)
      | neighborhood(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f20603,f6911]) ).

fof(f20702,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),interior(X3,X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20646,f308]) ).

fof(f20703,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),interior(X5,X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20646,f15272]) ).

fof(f20704,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),boundary(X3,X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20649,f308]) ).

fof(f20705,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),boundary(X5,X0,X1)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20649,f15272]) ).

fof(f20707,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(f11(X3,boundary(relative_complement_sets(X2,X0),X0,X1)),boundary(X2,X0,X1))
      | element_of_collection(boundary(relative_complement_sets(X2,X0),X0,X1),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20665,f7053]) ).

fof(f20709,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ topological_space(X2,X3)
      | connected_set(union_of_members(X0),X2,X3)
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f17678,f20455]) ).

fof(f20710,plain,
    ! [X0,X1,X2] :
      ( ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,X2)),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17678,f308]) ).

fof(f20711,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,X4)),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | connected_space(union_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f17678,f15272]) ).

fof(f20712,definition,
    ! [X1,X2] :
      ( sQ1124_spl
    <=> ( element_of_collection(intersection_of_sets(f2(ct,X1),f1(ct,X2)),ct)
        | element_of_set(X1,intersection_of_members(ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1124_spl])],[split_symbol_definition]) ).

fof(f20715,plain,
    ( ~ sQ896_spl
    | sQ1124_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f20710,f18007,f20712,f17627]) ).

fof(f20716,definition,
    ! [X1,X2,X3,X4] :
      ( sQ1125_spl
    <=> ( element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),f1(ct,X4)),ct)
        | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ1125_spl])],[split_symbol_definition]) ).

fof(f20719,plain,
    ( ~ sQ896_spl
    | sQ1125_spl
    | sQ919_spl ),
    inference(split_clause,[status(thm)],[f20711,f18007,f20716,f17627]) ).

fof(f20720,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ topological_space(X2,X3)
      | connected_set(union_of_members(X1),X2,X3)
      | element_of_set(X0,f1(X1,X0)) ),
    inference(resolution,[status(thm)],[f17679,f20455]) ).

fof(f20721,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ element_of_collection(f1(X0,f11(X3,X2)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_space(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f17679,f20460]) ).

fof(f20722,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ topological_space(X2,X3)
      | connected_set(f2(X1,X0),X2,X3)
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f17682,f20455]) ).

fof(f20723,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_set(f15(f20(X0,X1),X5,X3,X4,X2),intersection_of_sets(X2,X5))
      | ~ neighborhood(X2,f20(X0,X1),X3,X4)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f6966,f206]) ).

fof(f20725,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | ~ sQ71_spl
      | connected_space(union_of_members(X2),X4)
      | open(f1(X2,X3),X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f17678]) ).

fof(f20726,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ896_spl
      | connected_space(X3,X5)
      | open(f10(X2,X3,X4),X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f18422]) ).

fof(f20727,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | connected_space(X2,X3)
      | open(f21(X2,X3),X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f17206]) ).

fof(f20728,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | connected_space(X2,X3)
      | open(f22(X2,X3),X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f17207]) ).

fof(f20729,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | ~ sQ71_spl
      | open(empty_set,X0,top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f11948]) ).

fof(f20730,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(empty_set,X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f275]) ).

fof(f20731,plain,
    ! [X0,X1,X2] :
      ( ~ sQ470_spl
      | ~ sQ71_spl
      | open(intersection_of_members(ct),X0,top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f11970]) ).

fof(f20732,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_set(X5,intersection_of_members(subspace_topology(X2,X3,X4)))
      | open(f12(X2,X3,X4,f2(subspace_topology(X2,X3,X4),X5)),X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f13999]) ).

fof(f20733,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | open(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f12204]) ).

fof(f20734,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ71_spl
      | topological_space(X3,X4)
      | open(union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X0,top_of_basis(X7))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f15531]) ).

fof(f20735,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | topological_space(X2,X3)
      | open(union_of_members(subspace_topology(X2,X3,X4)),X0,top_of_basis(X5))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f3026]) ).

fof(f20736,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | topological_space(X3,X4)
      | open(closure(X2,X3,X4),X0,top_of_basis(X5))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f3032]) ).

fof(f20737,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X3,intersection_of_members(X2))
      | open(f2(X2,X3),X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f119]) ).

fof(f20738,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | open(boundary(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f20649]) ).

fof(f20739,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ71_spl
      | topological_space(X4,X5)
      | open(interior(X2,X3,subspace_topology(X4,X5,X6)),X0,top_of_basis(X7))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f12208]) ).

fof(f20740,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | open(interior(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f20646]) ).

fof(f20741,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f532]) ).

fof(f20742,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X2),empty_set),cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f533]) ).

fof(f20743,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f582]) ).

fof(f20744,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(f2(ct,X2),cx),cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f583]) ).

fof(f20745,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f458]) ).

fof(f20746,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X2)),cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f459]) ).

fof(f20747,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X2)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f2486]) ).

fof(f20748,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X2)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f2776]) ).

fof(f20749,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X2)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f13352]) ).

fof(f20750,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f420]) ).

fof(f20751,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,f2(ct,X2)),cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f421]) ).

fof(f20752,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X2)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f2901]) ).

fof(f20753,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,cx)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f320]) ).

fof(f20754,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,empty_set)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f321]) ).

fof(f20755,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,cx)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f324]) ).

fof(f20756,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,empty_set)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f325]) ).

fof(f20757,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X2),empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f326]) ).

fof(f20758,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(f2(ct,X2),cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f327]) ).

fof(f20759,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(intersection_of_sets(cx,empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f287]) ).

fof(f20760,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(intersection_of_sets(cx,cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f288]) ).

fof(f20761,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X2))),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f310]) ).

fof(f20762,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X2))),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f314]) ).

fof(f20763,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),empty_set)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f329]) ).

fof(f20764,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(cx,intersection_of_sets(f2(ct,X2),cx)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f334]) ).

fof(f20765,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(cx,f2(ct,X2)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f306]) ).

fof(f20766,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(intersection_of_sets(empty_set,empty_set),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f279]) ).

fof(f20767,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(intersection_of_sets(empty_set,cx),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f280]) ).

fof(f20768,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X2))),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f311]) ).

fof(f20769,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X2))),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f315]) ).

fof(f20770,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),empty_set)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f330]) ).

fof(f20771,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X2),cx)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f335]) ).

fof(f20772,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_set(X2,intersection_of_members(ct))
      | open(intersection_of_sets(empty_set,f2(ct,X2)),X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f307]) ).

fof(f20773,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ sQ71_spl
      | open(cx,X0,top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f11959]) ).

fof(f20774,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | open(cx,X0,ct)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f274]) ).

fof(f20775,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | topological_space(X2,X4)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f20668]) ).

fof(f20776,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | connected_space(X2,X4)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f17224]) ).

fof(f20777,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X4,X2)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f20634]) ).

fof(f20778,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(X2,cx,ct)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17216,f20585]) ).

fof(f20787,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | open(f16(X0,X1,X2,X3),X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19649,f197]) ).

fof(f20788,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | element_of_set(X0,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f19649,f199]) ).

fof(f20789,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20406,f20668]) ).

fof(f20793,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20407,f20668]) ).

fof(f20794,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | topological_space(union_of_members(f5(X0,X1)),X2)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20793,f20668]) ).

fof(f20795,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | connected_space(union_of_members(f5(X0,X1)),X2)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20793,f17224]) ).

fof(f20796,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ909_spl
      | ~ sQ71_spl
      | element_of_set(X2,union_of_members(f5(X0,X1)))
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20793,f20634]) ).

fof(f20797,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | open(union_of_members(f5(X0,X1)),cx,ct)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20793,f20585]) ).

fof(f20798,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20408,f20668]) ).

fof(f20802,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20409,f20668]) ).

fof(f20803,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | topological_space(union_of_members(f5(X0,X1)),X2)
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20802,f20668]) ).

fof(f20804,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | connected_space(union_of_members(f5(X0,X1)),X2)
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20802,f17224]) ).

fof(f20805,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ909_spl
      | ~ sQ71_spl
      | element_of_set(X2,union_of_members(f5(X0,X1)))
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20802,f20634]) ).

fof(f20806,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | open(union_of_members(f5(X0,X1)),cx,ct)
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20802,f20585]) ).

fof(f20807,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20410,f20668]) ).

fof(f20808,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | topological_space(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2)
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20807,f20668]) ).

fof(f20809,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | connected_space(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2)
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20807,f17224]) ).

fof(f20810,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ909_spl
      | ~ sQ71_spl
      | element_of_set(X2,intersection_of_sets(f3(X0,X1),f4(X0,X1)))
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20807,f20634]) ).

fof(f20811,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ sQ909_spl
      | open(intersection_of_sets(f3(X0,X1),f4(X0,X1)),cx,ct)
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20807,f20585]) ).

fof(f20812,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | disjoint_s(f17(closure(X4,X0,X1),X5,X2,X3),f18(closure(X4,X0,X1),X5,X2,X3))
      | eq_p(X2,X3)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17841,f6936]) ).

fof(f20813,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X4,X5)
      | connected_set(X3,X4,X5)
      | element_of_collection(f12(X0,X1,X2,X3),X1) ),
    inference(resolution,[status(thm)],[f17604,f20455]) ).

fof(f20814,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f12(X3,ct,X4,X0)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17604,f308]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f12(X5,ct,X6,X0)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17604,f15272]) ).

fof(f20816,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | open(f12(X4,X5,X6,X0),X2,X5)
      | connected_space(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17604,f17216]) ).

fof(f20817,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2)
      | element_of_collection(intersection_of_sets(empty_set,X0),ct) ),
    inference(resolution,[status(thm)],[f17617,f20455]) ).

fof(f20818,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(empty_set,X0)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17617,f308]) ).

fof(f20819,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),intersection_of_sets(empty_set,X0)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17617,f15272]) ).

fof(f20820,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(intersection_of_sets(empty_set,X0),X2,ct)
      | connected_space(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17617,f17216]) ).

fof(f20821,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2)
      | element_of_collection(intersection_of_sets(cx,X0),ct) ),
    inference(resolution,[status(thm)],[f17618,f20455]) ).

fof(f20822,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),intersection_of_sets(cx,X0)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17618,f308]) ).

fof(f20823,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),intersection_of_sets(cx,X0)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17618,f15272]) ).

fof(f20824,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | open(intersection_of_sets(cx,X0),X2,ct)
      | connected_space(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f17618,f17216]) ).

fof(f20826,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
      | element_of_collection(f4(X0,f24(X0,X1)),f24(X0,X1))
      | topological_space(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18693,f20798]) ).

fof(f20827,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
      | element_of_collection(f3(X0,f24(X0,X1)),f24(X0,X1))
      | topological_space(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18693,f20789]) ).

fof(f20828,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(f8(X0,f24(X0,X1)),f24(X0,X1))
      | basis(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18693,f158]) ).

fof(f20829,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | element_of_collection(f9(X0,f24(X0,X1)),f24(X0,X1))
      | basis(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f18693,f159]) ).

fof(f20830,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X3,X4)
      | connected_set(X1,closure(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f18716]) ).

fof(f20831,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X3,X4)
      | connected_set(X1,boundary(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f18708]) ).

fof(f20832,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X3,X4)
      | connected_set(X1,interior(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f18704]) ).

fof(f20833,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X1,cx,ct)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f271]) ).

fof(f20834,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | neighborhood(X2,X4,cx,ct)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f20603]) ).

fof(f20835,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X2,X4)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f20668]) ).

fof(f20836,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X2,X4)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f17205]) ).

fof(f20837,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,X2)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f20607]) ).

fof(f20838,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(X2,cx,ct)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20606,f20581]) ).

fof(f20839,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3))
      | connected_set(closure(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f7244]) ).

fof(f20840,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3))
      | connected_set(closure(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f7053]) ).

fof(f20841,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X2)
      | element_of_collection(X1,top_of_basis(X2))
      | connected_set(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f20460]) ).

fof(f20842,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_set(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f12205]) ).

fof(f20843,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X4,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_set(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f15276]) ).

fof(f20844,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_set(interior(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f177]) ).

fof(f20845,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,f13(X0,X1,X2,X3))
      | connected_set(interior(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f180]) ).

fof(f20846,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(f13(X0,X1,X2,X3),X1,X2)
      | connected_set(interior(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f182]) ).

fof(f20847,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_set(boundary(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f212]) ).

fof(f20848,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_set(boundary(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f214]) ).

fof(f20849,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,closure(X0,X1,X2))
      | connected_set(boundary(X0,X1,X2),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f213]) ).

fof(f20850,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X1,intersection_of_members(X0))
      | connected_set(f2(X0,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f120]) ).

fof(f20851,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X2,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_set(f2(X0,X1),cx,ct) ),
    inference(resolution,[status(thm)],[f20833,f309]) ).

fof(f20852,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X3,f2(X1,X0),X4)
      | element_of_set(X2,X3)
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f20632,f20606]) ).

fof(f20853,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),f2(X1,X0)),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f20652,f308]) ).

fof(f20854,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),f2(X1,X0)),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f20652,f15272]) ).

fof(f20855,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(f2(X1,X0),X2,X4)
      | connected_space(X2,X3)
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f20652,f17216]) ).

fof(f20856,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X3,intersection_of_members(X2))
      | connected_set(X0,f2(X2,X3),X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f20632]) ).

fof(f20857,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | topological_space(X3,X4)
      | connected_set(X0,closure(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f18716]) ).

fof(f20858,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | topological_space(X3,X4)
      | connected_set(X0,boundary(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f18708]) ).

fof(f20859,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | topological_space(X3,X4)
      | connected_set(X0,interior(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f18704]) ).

fof(f20860,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | connected_set(X0,cx,ct)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f271]) ).

fof(f20861,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(X2,X4,cx,ct)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f20603]) ).

fof(f20862,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(X2,X4)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f20668]) ).

fof(f20863,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | connected_space(X2,X4)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f17205]) ).

fof(f20864,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X4,X2)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f20607]) ).

fof(f20865,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X2,cx,ct)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20667,f20581]) ).

fof(f20866,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(intersection_of_sets(f3(X0,X1),f4(X0,X1)),cx,ct) ),
    inference(resolution,[status(thm)],[f20860,f20807]) ).

fof(f20867,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(union_of_members(f5(X0,X1)),cx,ct) ),
    inference(resolution,[status(thm)],[f20860,f20802]) ).

fof(f20868,plain,
    ! [X0,X1] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(union_of_members(f5(X0,X1)),cx,ct) ),
    inference(resolution,[status(thm)],[f20860,f20793]) ).

fof(f20869,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X1),X0),ct)
      | element_of_set(X1,intersection_of_members(ct))
      | connected_set(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f20860,f308]) ).

fof(f20870,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X2,ct,X3,f2(subspace_topology(X2,ct,X3),X1)),X0),ct)
      | element_of_set(X1,intersection_of_members(subspace_topology(X2,ct,X3)))
      | connected_set(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f20860,f15272]) ).

fof(f20871,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X0,X1,X3)
      | connected_space(X1,X2)
      | connected_set(X0,cx,ct) ),
    inference(resolution,[status(thm)],[f20860,f17216]) ).

fof(f20874,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | connected_set(X4,X2,X6)
      | element_of_collection(X4,X5)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20775,f20667]) ).

fof(f20875,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | connected_set(X5,X2,X6)
      | element_of_set(X4,X5)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20775,f20606]) ).

fof(f20876,definition,
    ! [X0,X1,X4] :
      ( sQ1126_spl
    <=> ( topological_space(X0,X4)
        | connected_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1126_spl])],[split_symbol_definition]) ).

fof(f20882,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | topological_space(X0,X4)
      | connected_space(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20776,f136]) ).

fof(f20883,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X4,X5)
      | connected_set(X2,X4,X5)
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20776,f20455]) ).

fof(f20884,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | open(X0,X0,X2)
      | connected_space(X0,X1) ),
    inference(factoring,[status(thm)],[f20776]) ).

fof(f20885,plain,
    ( ~ sQ71_spl
    | sQ322_spl
    | sQ1126_spl ),
    inference(split_clause,[status(thm)],[f20882,f20876,f7030,f4291]) ).

fof(f20889,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | topological_space(X0,X4)
      | element_of_set(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f136]) ).

fof(f20890,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(f11(X6,closure(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(closure(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X6))
      | open(closure(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f7244]) ).

fof(f20891,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(f11(X6,boundary(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(boundary(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X6))
      | open(closure(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f7053]) ).

fof(f20892,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | ~ element_of_collection(X2,X5)
      | element_of_collection(X4,top_of_basis(X5))
      | open(X2,X0,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f20460]) ).

fof(f20893,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | neighborhood(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X7,X3,X4)
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | open(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X0,X6)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f12205]) ).

fof(f20894,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X7,union_of_members(X3))
      | element_of_set(X5,intersection_of_members(subspace_topology(X2,X3,X4)))
      | open(f12(X2,X3,X4,f2(subspace_topology(X2,X3,X4),X5)),X0,X6)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f15276]) ).

fof(f20895,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | open(interior(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f177]) ).

fof(f20896,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X6,f13(X2,X3,X4,X6))
      | open(interior(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f180]) ).

fof(f20897,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | open(f13(X2,X3,X4,X6),X3,X4)
      | open(interior(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f182]) ).

fof(f20898,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | open(boundary(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f212]) ).

fof(f20899,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X6,closure(relative_complement_sets(X2,X3),X3,X4))
      | open(boundary(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f214]) ).

fof(f20900,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X6,closure(X2,X3,X4))
      | open(boundary(X2,X3,X4),X0,X5)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f213]) ).

fof(f20901,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X3,intersection_of_members(X2))
      | open(f2(X2,X3),X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f120]) ).

fof(f20902,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_set(X5,union_of_members(X2))
      | element_of_set(X3,intersection_of_members(X2))
      | open(f2(X2,X3),X0,X4)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f20777,f309]) ).

fof(f20903,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ71_spl
    | sQ1122_spl
    | sQ1126_spl ),
    inference(split_clause,[status(thm)],[f20889,f20876,f20542,f4291,f17627,f17921]) ).

fof(f20904,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X6,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X6))
      | element_of_collection(X3,X5)
      | connected_set(closure(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f7244]) ).

fof(f20905,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X6,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X6))
      | element_of_collection(X3,X5)
      | connected_set(closure(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f7053]) ).

fof(f20906,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X5)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_collection(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20835,f20460]) ).

fof(f20907,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X7,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(X4,X6)
      | connected_set(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5) ),
    inference(resolution,[status(thm)],[f20835,f12205]) ).

fof(f20908,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X7,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(X4,X6)
      | connected_set(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4,X5) ),
    inference(resolution,[status(thm)],[f20835,f15276]) ).

fof(f20909,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | element_of_collection(X3,X5)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f177]) ).

fof(f20910,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X6,f13(X0,X1,X2,X6))
      | element_of_collection(X3,X5)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f180]) ).

fof(f20911,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(f13(X0,X1,X2,X6),X1,X2)
      | element_of_collection(X3,X5)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f182]) ).

fof(f20912,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | element_of_collection(X3,X5)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f212]) ).

fof(f20913,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X6,closure(relative_complement_sets(X0,X1),X1,X2))
      | element_of_collection(X3,X5)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f214]) ).

fof(f20914,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X6,closure(X0,X1,X2))
      | element_of_collection(X3,X5)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20835,f213]) ).

fof(f20915,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(X2,X4)
      | connected_set(f2(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f20835,f120]) ).

fof(f20916,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X5,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(X2,X4)
      | connected_set(f2(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f20835,f309]) ).

fof(f20917,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | subset_collections(f5(X2,X3),X3)
      | ~ equal_sets(union_of_members(X3),X2)
      | topological_space(X2,X3)
      | connected_set(X1,intersection_of_sets(f3(X2,X3),f4(X2,X3)),X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f20807]) ).

fof(f20918,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(f4(X2,X3),X3)
      | ~ equal_sets(union_of_members(X3),X2)
      | topological_space(X2,X3)
      | connected_set(X1,union_of_members(f5(X2,X3)),X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f20802]) ).

fof(f20919,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(f3(X2,X3),X3)
      | ~ equal_sets(union_of_members(X3),X2)
      | topological_space(X2,X3)
      | connected_set(X1,union_of_members(f5(X2,X3)),X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f20793]) ).

fof(f20920,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f2(ct,X4),X2),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f308]) ).

fof(f20921,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),X2),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f15272]) ).

fof(f20922,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(X2,X4,X6)
      | connected_space(X4,X5)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f17216]) ).

fof(f20923,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X6,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X6))
      | connected_space(X3,X5)
      | connected_set(closure(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f7244]) ).

fof(f20924,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(f11(X6,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X6))
      | connected_space(X3,X5)
      | connected_set(closure(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f7053]) ).

fof(f20925,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X5)
      | element_of_collection(X4,top_of_basis(X5))
      | connected_space(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20836,f20460]) ).

fof(f20926,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X7,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_space(X4,X6)
      | connected_set(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5) ),
    inference(resolution,[status(thm)],[f20836,f12205]) ).

fof(f20927,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X7,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_space(X4,X6)
      | connected_set(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4,X5) ),
    inference(resolution,[status(thm)],[f20836,f15276]) ).

fof(f20928,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_space(X3,X5)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f177]) ).

fof(f20929,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X6,f13(X0,X1,X2,X6))
      | connected_space(X3,X5)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f180]) ).

fof(f20930,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(f13(X0,X1,X2,X6),X1,X2)
      | connected_space(X3,X5)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f182]) ).

fof(f20931,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X1,X2)
      | connected_space(X3,X5)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f212]) ).

fof(f20932,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X6,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_space(X3,X5)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f214]) ).

fof(f20933,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X6,closure(X0,X1,X2))
      | connected_space(X3,X5)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20836,f213]) ).

fof(f20934,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X1,intersection_of_members(X0))
      | connected_space(X2,X4)
      | connected_set(f2(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f20836,f120]) ).

fof(f20935,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X5,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_space(X2,X4)
      | connected_set(f2(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f20836,f309]) ).

fof(f20936,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ topological_space(X4,X5)
      | connected_set(X2,X4,X5)
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20836,f20455]) ).

fof(f20937,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_set(closure(X0,X1,X2),closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f7244]) ).

fof(f20938,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X6,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X6))
      | element_of_set(X5,X3)
      | connected_set(closure(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f7244]) ).

fof(f20939,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_set(closure(X0,X1,X2),closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f7053]) ).

fof(f20940,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X6,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X6))
      | element_of_set(X5,X3)
      | connected_set(closure(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f7053]) ).

fof(f20941,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f20460]) ).

fof(f20942,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X5)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_set(X3,X1)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20837,f20460]) ).

fof(f20943,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_set(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f20837,f12205]) ).

fof(f20944,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X7,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_set(X6,X4)
      | connected_set(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5) ),
    inference(resolution,[status(thm)],[f20837,f12205]) ).

fof(f20945,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_set(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f20837,f15276]) ).

fof(f20946,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X7,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_set(X6,X4)
      | connected_set(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4,X5) ),
    inference(resolution,[status(thm)],[f20837,f15276]) ).

fof(f20947,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | connected_set(interior(X0,X1,X2),interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f177]) ).

fof(f20948,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | element_of_set(X5,X3)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f177]) ).

fof(f20949,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | connected_set(interior(X0,X1,X2),interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f180]) ).

fof(f20950,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X6,f13(X0,X1,X2,X6))
      | element_of_set(X5,X3)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f180]) ).

fof(f20951,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | connected_set(interior(X0,X1,X2),interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f182]) ).

fof(f20952,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | open(f13(X0,X1,X2,X6),X1,X2)
      | element_of_set(X5,X3)
      | connected_set(interior(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f182]) ).

fof(f20953,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | connected_set(boundary(X0,X1,X2),boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f212]) ).

fof(f20954,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | element_of_set(X5,X3)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f212]) ).

fof(f20955,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_set(boundary(X0,X1,X2),boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f214]) ).

fof(f20956,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X6,closure(relative_complement_sets(X0,X1),X1,X2))
      | element_of_set(X5,X3)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f214]) ).

fof(f20957,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | connected_set(boundary(X0,X1,X2),boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20837,f213]) ).

fof(f20958,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X6,closure(X0,X1,X2))
      | element_of_set(X5,X3)
      | connected_set(boundary(X0,X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f20837,f213]) ).

fof(f20959,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X1,intersection_of_members(X0))
      | connected_set(f2(X0,X1),f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20837,f120]) ).

fof(f20960,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_set(X4,X2)
      | connected_set(f2(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f20837,f120]) ).

fof(f20961,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_set(f2(X0,X1),f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20837,f309]) ).

fof(f20962,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X5,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_set(X4,X2)
      | connected_set(f2(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f20837,f309]) ).

fof(f20963,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X6,closure(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(closure(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X6))
      | connected_set(X1,closure(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f7244]) ).

fof(f20964,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X6,boundary(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(boundary(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X6))
      | connected_set(X1,closure(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f7053]) ).

fof(f20965,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X2,X5)
      | element_of_collection(X4,top_of_basis(X5))
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f20460]) ).

fof(f20966,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | neighborhood(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X7,X3,X4)
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | connected_set(X1,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X6)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f12205]) ).

fof(f20967,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X7,union_of_members(X3))
      | element_of_set(X5,intersection_of_members(subspace_topology(X2,X3,X4)))
      | connected_set(X1,f12(X2,X3,X4,f2(subspace_topology(X2,X3,X4),X5)),X6)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f15276]) ).

fof(f20968,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X3,X4)
      | connected_set(X1,interior(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f177]) ).

fof(f20969,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X6,f13(X2,X3,X4,X6))
      | connected_set(X1,interior(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f180]) ).

fof(f20970,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | open(f13(X2,X3,X4,X6),X3,X4)
      | connected_set(X1,interior(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f182]) ).

fof(f20971,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X3,X4)
      | connected_set(X1,boundary(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f212]) ).

fof(f20972,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X6,closure(relative_complement_sets(X2,X3),X3,X4))
      | connected_set(X1,boundary(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f214]) ).

fof(f20973,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X6,closure(X2,X3,X4))
      | connected_set(X1,boundary(X2,X3,X4),X5)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f213]) ).

fof(f20974,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X3,intersection_of_members(X2))
      | connected_set(X1,f2(X2,X3),X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f120]) ).

fof(f20975,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X5,union_of_members(X2))
      | element_of_set(X3,intersection_of_members(X2))
      | connected_set(X1,f2(X2,X3),X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f20837,f309]) ).

fof(f20976,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | connected_set(X1,X1,X2)
      | element_of_set(X0,X1) ),
    inference(factoring,[status(thm)],[f20837]) ).

fof(f20977,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_collection(X4,top_of_basis(X5))
      | connected_set(X1,X2,X3)
      | element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20965,f20835]) ).

fof(f20978,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X4,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_set(closure(X0,X1,X2),closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f7244]) ).

fof(f20979,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(f11(X4,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X4))
      | connected_set(closure(X0,X1,X2),closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f7053]) ).

fof(f20980,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(X0,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f20976,f20460]) ).

fof(f20981,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | connected_set(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f20976,f12205]) ).

fof(f20982,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | connected_set(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f20976,f15276]) ).

fof(f20983,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | connected_set(interior(X0,X1,X2),interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f177]) ).

fof(f20984,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,f13(X0,X1,X2,X4))
      | connected_set(interior(X0,X1,X2),interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f180]) ).

fof(f20985,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | open(f13(X0,X1,X2,X4),X1,X2)
      | connected_set(interior(X0,X1,X2),interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f182]) ).

fof(f20986,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | connected_set(boundary(X0,X1,X2),boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f212]) ).

fof(f20987,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,closure(relative_complement_sets(X0,X1),X1,X2))
      | connected_set(boundary(X0,X1,X2),boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f214]) ).

fof(f20988,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,closure(X0,X1,X2))
      | connected_set(boundary(X0,X1,X2),boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20976,f213]) ).

fof(f20989,plain,
    ! [X0,X1,X2] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X1,intersection_of_members(X0))
      | connected_set(f2(X0,X1),f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20976,f120]) ).

fof(f20990,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | connected_set(f2(X0,X1),f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20976,f309]) ).

fof(f20991,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(intersection_of_sets(f3(X0,X1),f4(X0,X1)),intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f20862,f20807]) ).

fof(f20992,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_collection(X2,X4)
      | connected_set(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20862,f20807]) ).

fof(f20993,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(union_of_members(f5(X0,X1)),union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f20862,f20802]) ).

fof(f20994,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_collection(X2,X4)
      | connected_set(union_of_members(f5(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20862,f20802]) ).

fof(f20995,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(union_of_members(f5(X0,X1)),union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f20862,f20793]) ).

fof(f20996,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_collection(X2,X4)
      | connected_set(union_of_members(f5(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20862,f20793]) ).

fof(f20997,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f308]) ).

fof(f20998,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X4),X0),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_collection(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20862,f308]) ).

fof(f20999,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f15272]) ).

fof(f21000,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),X0),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | element_of_collection(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20862,f15272]) ).

fof(f21001,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X0,X2,X4)
      | connected_space(X2,X3)
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f17216]) ).

fof(f21002,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X0,X4,X6)
      | connected_space(X4,X5)
      | element_of_collection(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20862,f17216]) ).

fof(f21003,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | subset_collections(f5(X2,X3),X3)
      | ~ equal_sets(union_of_members(X3),X2)
      | topological_space(X2,X3)
      | connected_set(X0,intersection_of_sets(f3(X2,X3),f4(X2,X3)),X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f20807]) ).

fof(f21004,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X2,X3),X3)
      | ~ equal_sets(union_of_members(X3),X2)
      | topological_space(X2,X3)
      | connected_set(X0,union_of_members(f5(X2,X3)),X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f20802]) ).

fof(f21005,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X2,X3),X3)
      | ~ equal_sets(union_of_members(X3),X2)
      | topological_space(X2,X3)
      | connected_set(X0,union_of_members(f5(X2,X3)),X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f20793]) ).

fof(f21006,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X4),X2),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f308]) ).

fof(f21007,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),X2),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f15272]) ).

fof(f21008,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X2,X4,X6)
      | connected_space(X4,X5)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20862,f17216]) ).

fof(f21009,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | connected_set(X0,X0,X2)
      | element_of_collection(X0,X1) ),
    inference(factoring,[status(thm)],[f20862]) ).

fof(f21010,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(intersection_of_sets(f3(X0,X1),f4(X0,X1)),intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f21009,f20807]) ).

fof(f21011,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(union_of_members(f5(X0,X1)),union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f21009,f20802]) ).

fof(f21012,plain,
    ! [X0,X1,X2] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_set(union_of_members(f5(X0,X1)),union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f21009,f20793]) ).

fof(f21013,plain,
    ! [X0,X1,X2] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X2),X0),ct)
      | element_of_set(X2,intersection_of_members(ct))
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f21009,f308]) ).

fof(f21014,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X3,ct,X4,f2(subspace_topology(X3,ct,X4),X2)),X0),ct)
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,ct,X4)))
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f21009,f15272]) ).

fof(f21015,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X0,X2,X4)
      | connected_space(X2,X3)
      | connected_set(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f21009,f17216]) ).

fof(f21016,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(X2,X4)
      | connected_set(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20863,f20807]) ).

fof(f21017,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(X2,X4)
      | connected_set(union_of_members(f5(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20863,f20802]) ).

fof(f21018,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | connected_space(X2,X4)
      | connected_set(union_of_members(f5(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20863,f20793]) ).

fof(f21019,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f2(ct,X4),X0),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | connected_space(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20863,f308]) ).

fof(f21020,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),X0),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | connected_space(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20863,f15272]) ).

fof(f21021,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | open(X0,X4,X6)
      | connected_space(X4,X5)
      | connected_space(X1,X3)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20863,f17216]) ).

fof(f21022,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ topological_space(X4,X5)
      | connected_set(X2,X4,X5)
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20863,f20455]) ).

fof(f21023,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_set(X4,X2)
      | connected_set(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20864,f20807]) ).

fof(f21024,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_set(X4,X2)
      | connected_set(union_of_members(f5(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20864,f20802]) ).

fof(f21025,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_set(X4,X2)
      | connected_set(union_of_members(f5(X0,X1)),X2,X3) ),
    inference(resolution,[status(thm)],[f20864,f20793]) ).

fof(f21026,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f2(ct,X4),X0),ct)
      | element_of_set(X4,intersection_of_members(ct))
      | element_of_set(X3,X1)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20864,f308]) ).

fof(f21027,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_collection(intersection_of_sets(f12(X5,ct,X6,f2(subspace_topology(X5,ct,X6),X4)),X0),ct)
      | element_of_set(X4,intersection_of_members(subspace_topology(X5,ct,X6)))
      | element_of_set(X3,X1)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20864,f15272]) ).

fof(f21028,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | open(X0,X4,X6)
      | connected_space(X4,X5)
      | element_of_set(X3,X1)
      | connected_set(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f20864,f17216]) ).

fof(f21029,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(f11(X6,closure(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(closure(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X6))
      | connected_set(X0,closure(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f7244]) ).

fof(f21030,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(f11(X6,boundary(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(boundary(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X6))
      | connected_set(X0,closure(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f7053]) ).

fof(f21031,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | ~ element_of_collection(X2,X5)
      | element_of_collection(X4,top_of_basis(X5))
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f20460]) ).

fof(f21032,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | neighborhood(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X7,X3,X4)
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | connected_set(X0,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X6)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f12205]) ).

fof(f21033,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X7,union_of_members(X3))
      | element_of_set(X5,intersection_of_members(subspace_topology(X2,X3,X4)))
      | connected_set(X0,f12(X2,X3,X4,f2(subspace_topology(X2,X3,X4),X5)),X6)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f15276]) ).

fof(f21034,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | connected_set(X0,interior(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f177]) ).

fof(f21035,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X6,f13(X2,X3,X4,X6))
      | connected_set(X0,interior(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f180]) ).

fof(f21036,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | open(f13(X2,X3,X4,X6),X3,X4)
      | connected_set(X0,interior(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f182]) ).

fof(f21037,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | topological_space(X3,X4)
      | connected_set(X0,boundary(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f212]) ).

fof(f21038,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X6,closure(relative_complement_sets(X2,X3),X3,X4))
      | connected_set(X0,boundary(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f214]) ).

fof(f21039,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X6,closure(X2,X3,X4))
      | connected_set(X0,boundary(X2,X3,X4),X5)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f213]) ).

fof(f21040,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X3,intersection_of_members(X2))
      | connected_set(X0,f2(X2,X3),X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f120]) ).

fof(f21041,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X5,union_of_members(X2))
      | element_of_set(X3,intersection_of_members(X2))
      | connected_set(X0,f2(X2,X3),X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20864,f309]) ).

fof(f21042,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_collection(X4,top_of_basis(X5))
      | connected_set(X0,X2,X3)
      | element_of_collection(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21031,f20862]) ).

fof(f21043,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X2,X3)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17648,f20634]) ).

fof(f21044,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ sQ917_spl
      | ~ topological_space(X3,X4)
      | connected_set(intersection_of_members(X2),X3,X4)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f21043,f20455]) ).

fof(f21045,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(f11(X5,closure(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(closure(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X5))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f7244]) ).

fof(f21046,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(f11(X5,boundary(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
      | element_of_collection(boundary(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X5))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f7053]) ).

fof(f21047,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ896_spl
      | ~ sQ917_spl
      | ~ element_of_collection(X4,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f20460]) ).

fof(f21048,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | neighborhood(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X6,X3,X4)
      | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f12205]) ).

fof(f21049,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X6,union_of_members(X4))
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,X4,X5)))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f15276]) ).

fof(f21050,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | topological_space(X2,X3)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f177]) ).

fof(f21051,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X2,f13(X3,X4,X5,X2))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f180]) ).

fof(f21052,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | open(f13(X2,X3,X4,X5),X3,X4)
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f182]) ).

fof(f21054,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X2,closure(relative_complement_sets(X3,X4),X4,X5))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f214]) ).

fof(f21055,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X2,closure(X3,X4,X5))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f213]) ).

fof(f21056,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X2,intersection_of_members(X3))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f120]) ).

fof(f21057,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | ~ sQ917_spl
      | element_of_set(X4,union_of_members(X3))
      | element_of_set(X2,intersection_of_members(X3))
      | connected_space(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f21043,f309]) ).

fof(f21058,definition,
    ! [X2,X3,X4] :
      ( sQ1127_spl
    <=> ( ~ topological_space(X3,X4)
        | connected_set(intersection_of_members(X2),X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sQ1127_spl])],[split_symbol_definition]) ).

fof(f21061,plain,
    ( ~ sQ61_spl
    | ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1127_spl
    | sQ1122_spl ),
    inference(split_clause,[status(thm)],[f21044,f20542,f21058,f17921,f17627,f4237]) ).

fof(f21062,definition,
    ! [X0,X1] :
      ( sQ1128_spl
    <=> connected_space(intersection_of_members(X0),X1) ),
    introduced(definition,[new_symbols(definition,[sQ1128_spl])],[split_symbol_definition]) ).

fof(f21063,plain,
    ! [X0,X1] :
      ( ~ sQ1128_spl
      | connected_space(intersection_of_members(X0),X1) ),
    inference(component_clause,[status(thm)],[f21062]) ).

fof(f21065,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1129_spl
    <=> ( element_of_set(f11(X5,closure(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
        | element_of_collection(closure(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1129_spl])],[split_symbol_definition]) ).

fof(f21068,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1129_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21045,f21062,f21065,f17921,f17627]) ).

fof(f21069,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1130_spl
    <=> ( element_of_set(f11(X5,boundary(relative_complement_sets(X2,X3),X3,X4)),boundary(X2,X3,X4))
        | element_of_collection(boundary(relative_complement_sets(X2,X3),X3,X4),top_of_basis(X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1130_spl])],[split_symbol_definition]) ).

fof(f21072,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1130_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21046,f21062,f21069,f17921,f17627]) ).

fof(f21073,definition,
    ! [X2,X3,X4] :
      ( sQ1131_spl
    <=> ( ~ element_of_collection(X4,X3)
        | element_of_collection(X2,top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1131_spl])],[split_symbol_definition]) ).

fof(f21076,plain,
    ( ~ sQ61_spl
    | ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1131_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21047,f21062,f21073,f17921,f17627,f4237]) ).

fof(f21077,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ1132_spl
    <=> ( neighborhood(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X6,X3,X4)
        | element_of_collection(interior(X2,X3,X4),top_of_basis(X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1132_spl])],[split_symbol_definition]) ).

fof(f21080,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1132_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21048,f21062,f21077,f17921,f17627]) ).

fof(f21081,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ1133_spl
    <=> ( element_of_set(X6,union_of_members(X4))
        | element_of_set(X2,intersection_of_members(subspace_topology(X3,X4,X5))) ) ),
    introduced(definition,[new_symbols(definition,[sQ1133_spl])],[split_symbol_definition]) ).

fof(f21084,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1133_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21049,f21062,f21081,f17921,f17627]) ).

fof(f21085,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ71_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21050,f21062,f4291,f17921,f17627]) ).

fof(f21086,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1134_spl
    <=> element_of_set(X2,f13(X3,X4,X5,X2)) ),
    introduced(definition,[new_symbols(definition,[sQ1134_spl])],[split_symbol_definition]) ).

fof(f21089,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1134_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21051,f21062,f21086,f17921,f17627]) ).

fof(f21090,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1135_spl
    <=> open(f13(X2,X3,X4,X5),X3,X4) ),
    introduced(definition,[new_symbols(definition,[sQ1135_spl])],[split_symbol_definition]) ).

fof(f21093,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1135_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21052,f21062,f21090,f17921,f17627]) ).

fof(f21095,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1136_spl
    <=> element_of_set(X2,closure(relative_complement_sets(X3,X4),X4,X5)) ),
    introduced(definition,[new_symbols(definition,[sQ1136_spl])],[split_symbol_definition]) ).

fof(f21098,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1136_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21054,f21062,f21095,f17921,f17627]) ).

fof(f21099,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1137_spl
    <=> element_of_set(X2,closure(X3,X4,X5)) ),
    introduced(definition,[new_symbols(definition,[sQ1137_spl])],[split_symbol_definition]) ).

fof(f21102,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1137_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21055,f21062,f21099,f17921,f17627]) ).

fof(f21103,definition,
    ! [X2,X3] :
      ( sQ1138_spl
    <=> element_of_set(X2,intersection_of_members(X3)) ),
    introduced(definition,[new_symbols(definition,[sQ1138_spl])],[split_symbol_definition]) ).

fof(f21106,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1138_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21056,f21062,f21103,f17921,f17627]) ).

fof(f21107,definition,
    ! [X2,X3,X4] :
      ( sQ1139_spl
    <=> ( element_of_set(X4,union_of_members(X3))
        | element_of_set(X2,intersection_of_members(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1139_spl])],[split_symbol_definition]) ).

fof(f21110,plain,
    ( ~ sQ896_spl
    | ~ sQ917_spl
    | sQ1139_spl
    | sQ1128_spl ),
    inference(split_clause,[status(thm)],[f21057,f21062,f21107,f17921,f17627]) ).

fof(f21111,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X2,union_of_members(X3))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f17623,f20605]) ).

fof(f21112,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ topological_space(X3,X4)
      | connected_set(X2,X3,X4)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f21111,f20455]) ).

fof(f21113,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ element_of_collection(union_of_members(X4),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21111,f20460]) ).

fof(f21114,definition,
    ! [X2,X3,X4] :
      ( sQ1140_spl
    <=> ( ~ topological_space(X3,X4)
        | connected_set(X2,X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sQ1140_spl])],[split_symbol_definition]) ).

fof(f21115,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1140_spl
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(component_clause,[status(thm)],[f21114]) ).

fof(f21117,plain,
    ( ~ sQ61_spl
    | ~ sQ71_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1140_spl
    | sQ1120_spl ),
    inference(split_clause,[status(thm)],[f21112,f20513,f21114,f17627,f17921,f4291,f4237]) ).

fof(f21118,definition,
    ! [X2,X3,X4] :
      ( sQ1141_spl
    <=> ( ~ element_of_collection(union_of_members(X4),X3)
        | element_of_collection(X2,top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1141_spl])],[split_symbol_definition]) ).

fof(f21121,plain,
    ( ~ sQ61_spl
    | ~ sQ71_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1141_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f21113,f7030,f21118,f17627,f17921,f4291,f4237]) ).

fof(f21126,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_collection(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20610,f17224]) ).

fof(f21127,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | ~ topological_space(X3,X4)
      | connected_set(X2,X3,X4)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f21126,f20455]) ).

fof(f21128,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | subset_collections(f5(X2,top_of_basis(X3)),top_of_basis(X3))
      | ~ equal_sets(union_of_members(top_of_basis(X3)),X2)
      | topological_space(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21126,f20807]) ).

fof(f21129,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(f4(X2,top_of_basis(X3)),top_of_basis(X3))
      | ~ equal_sets(union_of_members(top_of_basis(X3)),X2)
      | topological_space(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21126,f20802]) ).

fof(f21130,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ909_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(f3(X2,top_of_basis(X3)),top_of_basis(X3))
      | ~ equal_sets(union_of_members(top_of_basis(X3)),X2)
      | topological_space(X2,top_of_basis(X3))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21126,f20793]) ).

fof(f21131,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(X4,X2,top_of_basis(X5))
      | connected_space(X2,X3)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21126,f17216]) ).

fof(f21132,definition,
    ! [X0,X1] :
      ( sQ1142_spl
    <=> element_of_collection(X0,top_of_basis(X1)) ),
    introduced(definition,[new_symbols(definition,[sQ1142_spl])],[split_symbol_definition]) ).

fof(f21133,plain,
    ! [X0,X1] :
      ( ~ sQ1142_spl
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f21132]) ).

fof(f21135,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ71_spl
    | sQ1140_spl
    | sQ1142_spl ),
    inference(split_clause,[status(thm)],[f21127,f21132,f21114,f4291,f17627,f17921,f4237]) ).

fof(f21136,definition,
    ! [X2,X3] :
      ( sQ1143_spl
    <=> ( subset_collections(f5(X2,top_of_basis(X3)),top_of_basis(X3))
        | ~ equal_sets(union_of_members(top_of_basis(X3)),X2)
        | topological_space(X2,top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1143_spl])],[split_symbol_definition]) ).

fof(f21139,plain,
    ( ~ sQ909_spl
    | ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1143_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f21128,f7030,f21136,f17627,f17921,f4237,f4291,f17726]) ).

fof(f21140,definition,
    ! [X2,X3] :
      ( sQ1144_spl
    <=> ( element_of_collection(f4(X2,top_of_basis(X3)),top_of_basis(X3))
        | ~ equal_sets(union_of_members(top_of_basis(X3)),X2)
        | topological_space(X2,top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1144_spl])],[split_symbol_definition]) ).

fof(f21143,plain,
    ( ~ sQ909_spl
    | ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1144_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f21129,f7030,f21140,f17627,f17921,f4237,f4291,f17726]) ).

fof(f21144,definition,
    ! [X2,X3] :
      ( sQ1145_spl
    <=> ( element_of_collection(f3(X2,top_of_basis(X3)),top_of_basis(X3))
        | ~ equal_sets(union_of_members(top_of_basis(X3)),X2)
        | topological_space(X2,top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1145_spl])],[split_symbol_definition]) ).

fof(f21147,plain,
    ( ~ sQ909_spl
    | ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1145_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f21130,f7030,f21144,f17627,f17921,f4237,f4291,f17726]) ).

fof(f21148,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1146_spl
    <=> ( open(X4,X2,top_of_basis(X5))
        | connected_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1146_spl])],[split_symbol_definition]) ).

fof(f21151,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1146_spl
    | sQ322_spl ),
    inference(split_clause,[status(thm)],[f21131,f7030,f21148,f17627,f17921,f4237,f4291]) ).

fof(f21152,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20623,f20668]) ).

fof(f21153,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X2,X4,X5)
      | element_of_collection(X2,X3)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f21152,f20667]) ).

fof(f21154,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | connected_set(X3,X4,X5)
      | element_of_set(X2,X3)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f21152,f20606]) ).

fof(f21159,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1147_spl
    <=> ( connected_set(X2,X4,X5)
        | element_of_collection(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1147_spl])],[split_symbol_definition]) ).

fof(f21162,plain,
    ( ~ sQ61_spl
    | ~ sQ71_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1147_spl
    | sQ1142_spl ),
    inference(split_clause,[status(thm)],[f21153,f21132,f21159,f17627,f17921,f4291,f4237]) ).

fof(f21163,definition,
    ! [X2,X3,X4,X5] :
      ( sQ1148_spl
    <=> ( connected_set(X3,X4,X5)
        | element_of_set(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1148_spl])],[split_symbol_definition]) ).

fof(f21166,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ71_spl
    | sQ1148_spl
    | sQ1142_spl ),
    inference(split_clause,[status(thm)],[f21154,f21132,f21163,f4291,f17627,f17921,f4237]) ).

fof(f21171,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | connected_space(union_of_members(X0),X4)
      | element_of_collection(X3,top_of_basis(X0))
      | element_of_collection(f1(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20643,f17678]) ).

fof(f21173,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X0,X1)
      | element_of_collection(X3,top_of_basis(X4))
      | element_of_collection(f21(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20643,f17206]) ).

fof(f21174,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X0,X1)
      | element_of_collection(X3,top_of_basis(X4))
      | element_of_collection(f22(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20643,f17207]) ).

fof(f21175,plain,
    ! [X0,X1,X2] :
      ( ~ sQ466_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(top_of_basis(X2)))
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20643,f11948]) ).

fof(f21176,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(ct))
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f20643,f275]) ).

fof(f21177,plain,
    ! [X0,X1,X2] :
      ( ~ sQ470_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(ct),X0) ),
    inference(resolution,[status(thm)],[f20643,f11970]) ).

fof(f21178,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(X5,top_of_basis(X1))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f20643,f13999]) ).

fof(f21180,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | element_of_collection(X5,top_of_basis(X2))
      | element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ),
    inference(resolution,[status(thm)],[f20643,f12204]) ).

fof(f21181,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(X3,top_of_basis(X4))
      | element_of_collection(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20643,f20652]) ).

fof(f21182,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_collection(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20643,f20649]) ).

fof(f21183,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | topological_space(X1,X2)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_collection(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f20643,f20646]) ).

fof(f21184,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1) ),
    inference(resolution,[status(thm)],[f20643,f532]) ).

fof(f21185,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1) ),
    inference(resolution,[status(thm)],[f20643,f533]) ).

fof(f21186,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1) ),
    inference(resolution,[status(thm)],[f20643,f582]) ).

fof(f21187,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1) ),
    inference(resolution,[status(thm)],[f20643,f583]) ).

fof(f21188,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1) ),
    inference(resolution,[status(thm)],[f20643,f458]) ).

fof(f21189,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1) ),
    inference(resolution,[status(thm)],[f20643,f459]) ).

fof(f21190,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f20643,f2486]) ).

fof(f21191,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f20643,f2776]) ).

fof(f21192,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f20643,f13352]) ).

fof(f21193,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1) ),
    inference(resolution,[status(thm)],[f20643,f420]) ).

fof(f21194,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1) ),
    inference(resolution,[status(thm)],[f20643,f421]) ).

fof(f21195,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f20643,f2901]) ).

fof(f21196,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1) ),
    inference(resolution,[status(thm)],[f20643,f320]) ).

fof(f21197,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1) ),
    inference(resolution,[status(thm)],[f20643,f321]) ).

fof(f21198,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1) ),
    inference(resolution,[status(thm)],[f20643,f324]) ).

fof(f21199,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1) ),
    inference(resolution,[status(thm)],[f20643,f325]) ).

fof(f21200,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),X1) ),
    inference(resolution,[status(thm)],[f20643,f326]) ).

fof(f21201,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(f2(ct,X0),cx),X1) ),
    inference(resolution,[status(thm)],[f20643,f327]) ).

fof(f21202,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,empty_set),X0) ),
    inference(resolution,[status(thm)],[f20643,f287]) ).

fof(f21203,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,cx),X0) ),
    inference(resolution,[status(thm)],[f20643,f288]) ).

fof(f21204,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1) ),
    inference(resolution,[status(thm)],[f20643,f310]) ).

fof(f21205,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1) ),
    inference(resolution,[status(thm)],[f20643,f314]) ).

fof(f21206,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1) ),
    inference(resolution,[status(thm)],[f20643,f329]) ).

fof(f21207,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1) ),
    inference(resolution,[status(thm)],[f20643,f334]) ).

fof(f21208,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f20643,f306]) ).

fof(f21209,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X0,X3)
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(cx,X0),X1) ),
    inference(resolution,[status(thm)],[f20643,f17618]) ).

fof(f21210,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,empty_set),X0) ),
    inference(resolution,[status(thm)],[f20643,f279]) ).

fof(f21211,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,cx),X0) ),
    inference(resolution,[status(thm)],[f20643,f280]) ).

fof(f21212,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1) ),
    inference(resolution,[status(thm)],[f20643,f311]) ).

fof(f21213,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1) ),
    inference(resolution,[status(thm)],[f20643,f315]) ).

fof(f21214,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1) ),
    inference(resolution,[status(thm)],[f20643,f330]) ).

fof(f21215,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1) ),
    inference(resolution,[status(thm)],[f20643,f335]) ).

fof(f21216,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_set(X0,intersection_of_members(ct))
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),X1) ),
    inference(resolution,[status(thm)],[f20643,f307]) ).

fof(f21217,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X0,X3)
      | element_of_collection(X2,top_of_basis(ct))
      | element_of_collection(intersection_of_sets(empty_set,X0),X1) ),
    inference(resolution,[status(thm)],[f20643,f17617]) ).

fof(f21218,plain,
    ! [X0,X1,X2] :
      ( ~ sQ468_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(top_of_basis(X2)))
      | element_of_collection(cx,X0) ),
    inference(resolution,[status(thm)],[f20643,f11959]) ).

fof(f21219,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | element_of_collection(X1,top_of_basis(ct))
      | element_of_collection(cx,X0) ),
    inference(resolution,[status(thm)],[f20643,f274]) ).

fof(f21221,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ71_spl
      | connected_space(X4,X5)
      | element_of_collection(X2,top_of_basis(top_of_basis(X3)))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f21126]) ).

fof(f21222,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | ~ sQ71_spl
      | element_of_set(X6,X4)
      | connected_set(X0,X4,X5)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20864]) ).

fof(f21223,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X4,X6)
      | connected_set(X0,X4,X5)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20863]) ).

fof(f21224,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X0,X0,X4)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f21009]) ).

fof(f21226,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X4,X0,X6)
      | element_of_collection(X4,X5)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20862]) ).

fof(f21229,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X5,X0,X6)
      | element_of_set(X4,X5)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20835]) ).

fof(f21230,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | ~ sQ71_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_set(X0,cx,ct)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20860]) ).

fof(f21231,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | topological_space(X0,X4)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20668]) ).

fof(f21232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | connected_space(X0,X4)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f17224]) ).

fof(f21233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ917_spl
      | ~ sQ896_spl
      | ~ sQ61_spl
      | element_of_set(X4,X0)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20634]) ).

fof(f21234,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ917_spl
      | ~ sQ896_spl
      | open(X0,cx,ct)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f20643,f20585]) ).

fof(f21235,definition,
    ! [X0,X1,X2] :
      ( sQ1149_spl
    <=> ( connected_space(X0,X1)
        | element_of_collection(f21(X0,X1),X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ1149_spl])],[split_symbol_definition]) ).

fof(f21238,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1149_spl ),
    inference(split_clause,[status(thm)],[f21173,f21235,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21239,definition,
    ! [X0,X1,X2] :
      ( sQ1150_spl
    <=> ( connected_space(X0,X1)
        | element_of_collection(f22(X0,X1),X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ1150_spl])],[split_symbol_definition]) ).

fof(f21242,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1150_spl ),
    inference(split_clause,[status(thm)],[f21174,f21239,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21243,definition,
    ! [X1,X2] :
      ( sQ1151_spl
    <=> element_of_collection(X1,top_of_basis(top_of_basis(X2))) ),
    introduced(definition,[new_symbols(definition,[sQ1151_spl])],[split_symbol_definition]) ).

fof(f21244,plain,
    ! [X0,X1] :
      ( ~ sQ1151_spl
      | element_of_collection(X0,top_of_basis(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f21243]) ).

fof(f21246,plain,
    ( ~ sQ466_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1151_spl
    | sQ84_spl ),
    inference(split_clause,[status(thm)],[f21175,f4344,f21243,f17627,f17921,f4237,f11947]) ).

fof(f21247,definition,
    ! [X1] :
      ( sQ1152_spl
    <=> element_of_collection(X1,top_of_basis(ct)) ),
    introduced(definition,[new_symbols(definition,[sQ1152_spl])],[split_symbol_definition]) ).

fof(f21248,plain,
    ! [X0] :
      ( ~ sQ1152_spl
      | element_of_collection(X0,top_of_basis(ct)) ),
    inference(component_clause,[status(thm)],[f21247]) ).

fof(f21250,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ84_spl ),
    inference(split_clause,[status(thm)],[f21176,f4344,f21247,f17627,f17921,f4237]) ).

fof(f21251,definition,
    ! [X0] :
      ( sQ1153_spl
    <=> element_of_collection(intersection_of_members(ct),X0) ),
    introduced(definition,[new_symbols(definition,[sQ1153_spl])],[split_symbol_definition]) ).

fof(f21254,plain,
    ( ~ sQ470_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1151_spl
    | sQ1153_spl ),
    inference(split_clause,[status(thm)],[f21177,f21251,f21243,f17627,f17921,f4237,f11969]) ).

fof(f21255,definition,
    ! [X0,X1,X2] :
      ( sQ1154_spl
    <=> ( element_of_set(X1,intersection_of_members(X0))
        | element_of_collection(f2(X0,X1),X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ1154_spl])],[split_symbol_definition]) ).

fof(f21258,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ61_spl
    | sQ1142_spl
    | sQ1154_spl ),
    inference(split_clause,[status(thm)],[f21181,f21255,f21132,f4237,f17627,f17921]) ).

fof(f21259,definition,
    ! [X0,X1,X2,X3] :
      ( sQ1155_spl
    <=> ( topological_space(X1,X2)
        | element_of_collection(boundary(X0,X1,X2),X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1155_spl])],[split_symbol_definition]) ).

fof(f21262,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ61_spl
    | sQ1142_spl
    | sQ1155_spl ),
    inference(split_clause,[status(thm)],[f21182,f21259,f21132,f4237,f17627,f17921]) ).

fof(f21263,definition,
    ! [X0,X1,X2,X3] :
      ( sQ1156_spl
    <=> ( topological_space(X1,X2)
        | element_of_collection(interior(X0,X1,X2),X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1156_spl])],[split_symbol_definition]) ).

fof(f21266,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ61_spl
    | sQ1142_spl
    | sQ1156_spl ),
    inference(split_clause,[status(thm)],[f21183,f21263,f21132,f4237,f17627,f17921]) ).

fof(f21267,definition,
    ! [X0,X1] :
      ( sQ1157_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),empty_set),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1157_spl])],[split_symbol_definition]) ).

fof(f21270,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1157_spl ),
    inference(split_clause,[status(thm)],[f21184,f21267,f21247,f17627,f17921,f4237]) ).

fof(f21271,definition,
    ! [X0,X1] :
      ( sQ1158_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),empty_set),cx),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1158_spl])],[split_symbol_definition]) ).

fof(f21274,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1158_spl ),
    inference(split_clause,[status(thm)],[f21185,f21271,f21247,f17627,f17921,f4237]) ).

fof(f21275,definition,
    ! [X0,X1] :
      ( sQ1159_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),empty_set),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1159_spl])],[split_symbol_definition]) ).

fof(f21278,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1159_spl ),
    inference(split_clause,[status(thm)],[f21186,f21275,f21247,f17627,f17921,f4237]) ).

fof(f21279,definition,
    ! [X0,X1] :
      ( sQ1160_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(f2(ct,X0),cx),cx),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1160_spl])],[split_symbol_definition]) ).

fof(f21282,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1160_spl ),
    inference(split_clause,[status(thm)],[f21187,f21279,f21247,f17627,f17921,f4237]) ).

fof(f21283,definition,
    ! [X0,X1] :
      ( sQ1161_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),empty_set),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1161_spl])],[split_symbol_definition]) ).

fof(f21286,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1161_spl ),
    inference(split_clause,[status(thm)],[f21188,f21283,f21247,f17627,f17921,f4237]) ).

fof(f21287,definition,
    ! [X0,X1] :
      ( sQ1162_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,f2(ct,X0)),cx),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1162_spl])],[split_symbol_definition]) ).

fof(f21290,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1162_spl ),
    inference(split_clause,[status(thm)],[f21189,f21287,f21247,f17627,f17921,f4237]) ).

fof(f21291,definition,
    ! [X0,X1] :
      ( sQ1163_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,empty_set),f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1163_spl])],[split_symbol_definition]) ).

fof(f21294,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1163_spl ),
    inference(split_clause,[status(thm)],[f21190,f21291,f21247,f17627,f17921,f4237]) ).

fof(f21295,definition,
    ! [X0,X1] :
      ( sQ1164_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(empty_set,cx),f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1164_spl])],[split_symbol_definition]) ).

fof(f21298,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1164_spl ),
    inference(split_clause,[status(thm)],[f21191,f21295,f21247,f17627,f17921,f4237]) ).

fof(f21299,definition,
    ! [X0,X1] :
      ( sQ1165_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(cx,cx),f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1165_spl])],[split_symbol_definition]) ).

fof(f21302,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1165_spl ),
    inference(split_clause,[status(thm)],[f21192,f21299,f21247,f17627,f17921,f4237]) ).

fof(f21303,definition,
    ! [X0,X1] :
      ( sQ1166_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),empty_set),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1166_spl])],[split_symbol_definition]) ).

fof(f21306,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1166_spl ),
    inference(split_clause,[status(thm)],[f21193,f21303,f21247,f17627,f17921,f4237]) ).

fof(f21307,definition,
    ! [X0,X1] :
      ( sQ1167_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(cx,f2(ct,X0)),cx),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1167_spl])],[split_symbol_definition]) ).

fof(f21310,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1167_spl ),
    inference(split_clause,[status(thm)],[f21194,f21307,f21247,f17627,f17921,f4237]) ).

fof(f21311,definition,
    ! [X0,X1] :
      ( sQ1168_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(intersection_of_sets(cx,empty_set),f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1168_spl])],[split_symbol_definition]) ).

fof(f21314,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1168_spl ),
    inference(split_clause,[status(thm)],[f21195,f21311,f21247,f17627,f17921,f4237]) ).

fof(f21315,definition,
    ! [X0,X1] :
      ( sQ1169_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,cx)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1169_spl])],[split_symbol_definition]) ).

fof(f21318,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1169_spl ),
    inference(split_clause,[status(thm)],[f21196,f21315,f21247,f17627,f17921,f4237]) ).

fof(f21319,definition,
    ! [X0,X1] :
      ( sQ1170_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(cx,empty_set)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1170_spl])],[split_symbol_definition]) ).

fof(f21322,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1170_spl ),
    inference(split_clause,[status(thm)],[f21197,f21319,f21247,f17627,f17921,f4237]) ).

fof(f21323,definition,
    ! [X0,X1] :
      ( sQ1171_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,cx)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1171_spl])],[split_symbol_definition]) ).

fof(f21326,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1171_spl ),
    inference(split_clause,[status(thm)],[f21198,f21323,f21247,f17627,f17921,f4237]) ).

fof(f21327,definition,
    ! [X0,X1] :
      ( sQ1172_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(f2(ct,X0),intersection_of_sets(empty_set,empty_set)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1172_spl])],[split_symbol_definition]) ).

fof(f21330,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1172_spl ),
    inference(split_clause,[status(thm)],[f21199,f21327,f21247,f17627,f17921,f4237]) ).

fof(f21331,definition,
    ! [X0,X1] :
      ( sQ1173_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(f2(ct,X0),empty_set),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1173_spl])],[split_symbol_definition]) ).

fof(f21334,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1173_spl ),
    inference(split_clause,[status(thm)],[f21200,f21331,f21247,f17627,f17921,f4237]) ).

fof(f21335,definition,
    ! [X0,X1] :
      ( sQ1174_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(f2(ct,X0),cx),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1174_spl])],[split_symbol_definition]) ).

fof(f21338,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1174_spl ),
    inference(split_clause,[status(thm)],[f21201,f21335,f21247,f17627,f17921,f4237]) ).

fof(f21339,definition,
    ! [X0] :
      ( sQ1175_spl
    <=> element_of_collection(intersection_of_sets(cx,empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ1175_spl])],[split_symbol_definition]) ).

fof(f21342,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1175_spl ),
    inference(split_clause,[status(thm)],[f21202,f21339,f21247,f17627,f17921,f4237]) ).

fof(f21343,definition,
    ! [X0] :
      ( sQ1176_spl
    <=> element_of_collection(intersection_of_sets(cx,cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ1176_spl])],[split_symbol_definition]) ).

fof(f21346,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1176_spl ),
    inference(split_clause,[status(thm)],[f21203,f21343,f21247,f17627,f17921,f4237]) ).

fof(f21347,definition,
    ! [X0,X1] :
      ( sQ1177_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(cx,intersection_of_sets(cx,f2(ct,X0))),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1177_spl])],[split_symbol_definition]) ).

fof(f21350,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1177_spl ),
    inference(split_clause,[status(thm)],[f21204,f21347,f21247,f17627,f17921,f4237]) ).

fof(f21351,definition,
    ! [X0,X1] :
      ( sQ1178_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(cx,intersection_of_sets(empty_set,f2(ct,X0))),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1178_spl])],[split_symbol_definition]) ).

fof(f21354,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1178_spl ),
    inference(split_clause,[status(thm)],[f21205,f21351,f21247,f17627,f17921,f4237]) ).

fof(f21355,definition,
    ! [X0,X1] :
      ( sQ1179_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),empty_set)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1179_spl])],[split_symbol_definition]) ).

fof(f21358,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1179_spl ),
    inference(split_clause,[status(thm)],[f21206,f21355,f21247,f17627,f17921,f4237]) ).

fof(f21359,definition,
    ! [X0,X1] :
      ( sQ1180_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(cx,intersection_of_sets(f2(ct,X0),cx)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1180_spl])],[split_symbol_definition]) ).

fof(f21362,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1180_spl ),
    inference(split_clause,[status(thm)],[f21207,f21359,f21247,f17627,f17921,f4237]) ).

fof(f21363,definition,
    ! [X0,X1] :
      ( sQ1181_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(cx,f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1181_spl])],[split_symbol_definition]) ).

fof(f21366,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1181_spl ),
    inference(split_clause,[status(thm)],[f21208,f21363,f21247,f17627,f17921,f4237]) ).

fof(f21367,definition,
    ! [X0,X1,X3] :
      ( sQ1182_spl
    <=> ( connected_space(X0,X3)
        | element_of_collection(intersection_of_sets(cx,X0),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1182_spl])],[split_symbol_definition]) ).

fof(f21370,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1182_spl ),
    inference(split_clause,[status(thm)],[f21209,f21367,f21247,f17627,f17921,f4237,f4291]) ).

fof(f21371,definition,
    ! [X0] :
      ( sQ1183_spl
    <=> element_of_collection(intersection_of_sets(empty_set,empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ1183_spl])],[split_symbol_definition]) ).

fof(f21374,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1183_spl ),
    inference(split_clause,[status(thm)],[f21210,f21371,f21247,f17627,f17921,f4237]) ).

fof(f21375,definition,
    ! [X0] :
      ( sQ1184_spl
    <=> element_of_collection(intersection_of_sets(empty_set,cx),X0) ),
    introduced(definition,[new_symbols(definition,[sQ1184_spl])],[split_symbol_definition]) ).

fof(f21378,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1184_spl ),
    inference(split_clause,[status(thm)],[f21211,f21375,f21247,f17627,f17921,f4237]) ).

fof(f21379,definition,
    ! [X0,X1] :
      ( sQ1185_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(cx,f2(ct,X0))),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1185_spl])],[split_symbol_definition]) ).

fof(f21382,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1185_spl ),
    inference(split_clause,[status(thm)],[f21212,f21379,f21247,f17627,f17921,f4237]) ).

fof(f21383,definition,
    ! [X0,X1] :
      ( sQ1186_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(empty_set,f2(ct,X0))),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1186_spl])],[split_symbol_definition]) ).

fof(f21386,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1186_spl ),
    inference(split_clause,[status(thm)],[f21213,f21383,f21247,f17627,f17921,f4237]) ).

fof(f21387,definition,
    ! [X0,X1] :
      ( sQ1187_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),empty_set)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1187_spl])],[split_symbol_definition]) ).

fof(f21390,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1187_spl ),
    inference(split_clause,[status(thm)],[f21214,f21387,f21247,f17627,f17921,f4237]) ).

fof(f21391,definition,
    ! [X0,X1] :
      ( sQ1188_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(empty_set,intersection_of_sets(f2(ct,X0),cx)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1188_spl])],[split_symbol_definition]) ).

fof(f21394,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1188_spl ),
    inference(split_clause,[status(thm)],[f21215,f21391,f21247,f17627,f17921,f4237]) ).

fof(f21395,definition,
    ! [X0,X1] :
      ( sQ1189_spl
    <=> ( element_of_set(X0,intersection_of_members(ct))
        | element_of_collection(intersection_of_sets(empty_set,f2(ct,X0)),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1189_spl])],[split_symbol_definition]) ).

fof(f21398,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1189_spl ),
    inference(split_clause,[status(thm)],[f21216,f21395,f21247,f17627,f17921,f4237]) ).

fof(f21399,definition,
    ! [X0,X1,X3] :
      ( sQ1190_spl
    <=> ( connected_space(X0,X3)
        | element_of_collection(intersection_of_sets(empty_set,X0),X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1190_spl])],[split_symbol_definition]) ).

fof(f21402,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1190_spl ),
    inference(split_clause,[status(thm)],[f21217,f21399,f21247,f17627,f17921,f4237,f4291]) ).

fof(f21403,definition,
    ! [X0] :
      ( sQ1191_spl
    <=> element_of_collection(cx,X0) ),
    introduced(definition,[new_symbols(definition,[sQ1191_spl])],[split_symbol_definition]) ).

fof(f21406,plain,
    ( ~ sQ468_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1151_spl
    | sQ1191_spl ),
    inference(split_clause,[status(thm)],[f21218,f21403,f21243,f17627,f17921,f4237,f11958]) ).

fof(f21407,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1152_spl
    | sQ1191_spl ),
    inference(split_clause,[status(thm)],[f21219,f21403,f21247,f17627,f17921,f4237]) ).

fof(f21409,plain,
    ( ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ71_spl
    | sQ322_spl
    | sQ1151_spl
    | sQ85_spl ),
    inference(split_clause,[status(thm)],[f21221,f4348,f21243,f7030,f4291,f17627,f17921,f4237]) ).

fof(f21410,definition,
    ! [X0,X1,X4,X5,X6] :
      ( sQ1192_spl
    <=> ( element_of_set(X6,X4)
        | connected_set(X0,X4,X5)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1192_spl])],[split_symbol_definition]) ).

fof(f21413,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ61_spl
    | ~ sQ71_spl
    | sQ1142_spl
    | sQ1192_spl ),
    inference(split_clause,[status(thm)],[f21222,f21410,f21132,f4291,f4237,f17627,f17921]) ).

fof(f21414,definition,
    ! [X0,X1,X4,X5,X6] :
      ( sQ1193_spl
    <=> ( connected_space(X4,X6)
        | connected_set(X0,X4,X5)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1193_spl])],[split_symbol_definition]) ).

fof(f21417,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1193_spl ),
    inference(split_clause,[status(thm)],[f21223,f21414,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21418,definition,
    ! [X0,X1,X4] :
      ( sQ1194_spl
    <=> ( connected_set(X0,X0,X4)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1194_spl])],[split_symbol_definition]) ).

fof(f21421,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1194_spl ),
    inference(split_clause,[status(thm)],[f21224,f21418,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21423,definition,
    ! [X0,X1,X4,X5,X6] :
      ( sQ1195_spl
    <=> ( connected_set(X4,X0,X6)
        | element_of_collection(X4,X5)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1195_spl])],[split_symbol_definition]) ).

fof(f21426,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1195_spl ),
    inference(split_clause,[status(thm)],[f21226,f21423,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21429,definition,
    ! [X0,X1,X4,X5,X6] :
      ( sQ1196_spl
    <=> ( connected_set(X5,X0,X6)
        | element_of_set(X4,X5)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1196_spl])],[split_symbol_definition]) ).

fof(f21432,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1196_spl ),
    inference(split_clause,[status(thm)],[f21229,f21429,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21433,definition,
    ! [X0,X1] :
      ( sQ1197_spl
    <=> ( connected_set(X0,cx,ct)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1197_spl])],[split_symbol_definition]) ).

fof(f21436,plain,
    ( ~ sQ61_spl
    | ~ sQ71_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1197_spl ),
    inference(split_clause,[status(thm)],[f21230,f21433,f21132,f17627,f17921,f4291,f4237]) ).

fof(f21437,definition,
    ! [X0,X1,X4] :
      ( sQ1198_spl
    <=> ( topological_space(X0,X4)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1198_spl])],[split_symbol_definition]) ).

fof(f21440,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1198_spl ),
    inference(split_clause,[status(thm)],[f21231,f21437,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21441,definition,
    ! [X0,X1,X4] :
      ( sQ1199_spl
    <=> ( connected_space(X0,X4)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1199_spl])],[split_symbol_definition]) ).

fof(f21444,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1199_spl ),
    inference(split_clause,[status(thm)],[f21232,f21441,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21445,definition,
    ! [X0,X1,X4] :
      ( sQ1200_spl
    <=> ( element_of_set(X4,X0)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1200_spl])],[split_symbol_definition]) ).

fof(f21448,plain,
    ( ~ sQ917_spl
    | ~ sQ896_spl
    | ~ sQ61_spl
    | sQ1142_spl
    | sQ1200_spl ),
    inference(split_clause,[status(thm)],[f21233,f21445,f21132,f4237,f17627,f17921]) ).

fof(f21449,definition,
    ! [X0,X1] :
      ( sQ1201_spl
    <=> ( open(X0,cx,ct)
        | element_of_collection(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1201_spl])],[split_symbol_definition]) ).

fof(f21452,plain,
    ( ~ sQ71_spl
    | ~ sQ61_spl
    | ~ sQ917_spl
    | ~ sQ896_spl
    | sQ1142_spl
    | sQ1201_spl ),
    inference(split_clause,[status(thm)],[f21234,f21449,f21132,f17627,f17921,f4237,f4291]) ).

fof(f21456,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | open(X0,cx,ct)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f19996,f197]) ).

fof(f21459,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | topological_space(cx,ct)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f21456,f136]) ).

fof(f21460,plain,
    ( ~ sQ322_spl
    | sQ13_spl
    | sQ321_spl ),
    inference(split_clause,[status(thm)],[f21459,f7027,f1367,f7030]) ).

fof(f21463,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | open(X0,cx,ct)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f20007,f197]) ).

fof(f21465,plain,
    ! [X0,X1] :
      ( ~ sQ322_spl
      | topological_space(cx,ct)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f21463,f136]) ).

fof(f21466,definition,
    ! [X0,X1] :
      ( sQ1202_spl
    <=> basis(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ1202_spl])],[split_symbol_definition]) ).

fof(f21469,plain,
    ( ~ sQ322_spl
    | sQ13_spl
    | sQ1202_spl ),
    inference(split_clause,[status(thm)],[f21465,f21466,f1367,f7030]) ).

fof(f21470,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | topological_space(X2,X3)
      | neighborhood(f17(closure(X1,X2,X3),X5,X0,X4),X0,closure(X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,closure(X1,X2,X3))
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f217,f17841]) ).

fof(f21473,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(X1,cx,ct)
      | neighborhood(f17(X1,X3,X0,X2),X0,X1,X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,X1)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f217,f21456]) ).

fof(f21474,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ322_spl
      | topological_space(X2,X3)
      | neighborhood(f17(closure(X1,X2,X3),X5,X4,X0),X4,closure(X1,X2,X3),X5)
      | eq_p(X4,X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21470,f20665]) ).

fof(f21475,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | topological_space(X2,X3)
      | neighborhood(f18(closure(X1,X2,X3),X5,X0,X4),X4,closure(X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,closure(X1,X2,X3))
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f218,f17841]) ).

fof(f21478,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ322_spl
      | open(X1,cx,ct)
      | neighborhood(f18(X1,X3,X0,X2),X2,X1,X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,X1)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f218,f21456]) ).

fof(f21479,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ sQ61_spl
      | ~ sQ322_spl
      | topological_space(X2,X3)
      | neighborhood(f18(closure(X1,X2,X3),X5,X4,X0),X0,closure(X1,X2,X3),X5)
      | eq_p(X4,X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21475,f20665]) ).

fof(f21482,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ88_spl
      | ~ sQ71_spl
      | ~ element_of_collection(X2,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f20460,f6930]) ).

fof(f21483,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | neighborhood(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X1,X2)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f12205,f6930]) ).

fof(f21484,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f177,f6930]) ).

fof(f21486,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f212,f6930]) ).

fof(f21489,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f20455,f7031]) ).

fof(f21492,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | ~ sQ321_spl
      | disjoint_s(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6936,f7028]) ).

fof(f21494,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19579,f19582]) ).

fof(f21495,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | compact_space(X0,X1)
      | open_covering(f24(X0,X1),X2,X1) ),
    inference(resolution,[status(thm)],[f21494,f19640]) ).

fof(f21497,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | subset_collections(f23(X2,X1,f24(X0,X1)),f24(X0,X1))
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21495,f261]) ).

fof(f21498,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | open_covering(f23(X2,X1,f24(X0,X1)),X2,X1)
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21495,f262]) ).

fof(f21499,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | finite(f23(X2,X1,f24(X0,X1)))
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f21495,f260]) ).

fof(f21501,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | finite(f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21499,f1107]) ).

fof(f21502,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | open_covering(f23(cx,ct,f24(X0,ct)),cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21498,f1107]) ).

fof(f21503,plain,
    ! [X0,X1] :
      ( ~ sQ71_spl
      | ~ sQ322_spl
      | ~ disjoint_s(X0,X1)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6984,f18767]) ).

fof(f21504,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | ~ sQ321_spl
      | ~ sQ322_spl
      | eq_p(X2,X3)
      | equal_sets(f18(X0,X1,X2,X3),empty_set)
      | equal_sets(f17(X0,X1,X2,X3),empty_set) ),
    inference(resolution,[status(thm)],[f21503,f21492]) ).

fof(f21505,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21489,f19583]) ).

fof(f21506,plain,
    ! [X0,X1,X2] :
      ( ~ sQ322_spl
      | compact_space(X2,f24(X0,X1))
      | ~ open_covering(f24(X2,f24(X0,X1)),X0,X1)
      | ~ finite(f24(X2,f24(X0,X1)))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f11942,f19640]) ).

fof(f21507,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | subset_collections(f23(cx,ct,f24(X0,ct)),f24(X0,ct))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21497,f1107]) ).

fof(f21508,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f24(X0,ct))),f23(cx,ct,f24(X0,ct)))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21502,f261]) ).

fof(f21509,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f24(X0,ct))),cx,ct)
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21502,f262]) ).

fof(f21510,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | finite(f23(cx,ct,f23(cx,ct,f24(X0,ct))))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21502,f260]) ).

fof(f21511,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ322_spl
      | subset_collections(f23(cx,ct,f24(X0,ct)),ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21502,f254]) ).

fof(f21512,definition,
    ! [X0] :
      ( sQ1203_spl
    <=> ( subset_collections(f23(cx,ct,f23(cx,ct,f24(X0,ct))),f23(cx,ct,f24(X0,ct)))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ1203_spl])],[split_symbol_definition]) ).

fof(f21515,plain,
    ( ~ sQ322_spl
    | ~ sQ3_spl
    | sQ1203_spl ),
    inference(split_clause,[status(thm)],[f21508,f21512,f1106,f7030]) ).

fof(f21516,definition,
    ! [X0] :
      ( sQ1204_spl
    <=> ( open_covering(f23(cx,ct,f23(cx,ct,f24(X0,ct))),cx,ct)
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ1204_spl])],[split_symbol_definition]) ).

fof(f21519,plain,
    ( ~ sQ322_spl
    | ~ sQ3_spl
    | sQ1204_spl ),
    inference(split_clause,[status(thm)],[f21509,f21516,f1106,f7030]) ).

fof(f21520,definition,
    ! [X0] :
      ( sQ1205_spl
    <=> ( finite(f23(cx,ct,f23(cx,ct,f24(X0,ct))))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ1205_spl])],[split_symbol_definition]) ).

fof(f21523,plain,
    ( ~ sQ322_spl
    | ~ sQ3_spl
    | sQ1205_spl ),
    inference(split_clause,[status(thm)],[f21510,f21520,f1106,f7030]) ).

fof(f21524,plain,
    ( ~ sQ4_spl
    | subset_collections(f23(cx,ct,f24(cx,ct)),f24(cx,ct))
    | ~ compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f1110,f261]) ).

fof(f21525,plain,
    ( ~ sQ4_spl
    | open_covering(f23(cx,ct,f24(cx,ct)),cx,ct)
    | ~ compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f1110,f262]) ).

fof(f21526,plain,
    ( ~ sQ4_spl
    | finite(f23(cx,ct,f24(cx,ct)))
    | ~ compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f1110,f260]) ).

fof(f21527,plain,
    ( ~ sQ4_spl
    | subset_collections(f24(cx,ct),ct) ),
    inference(resolution,[status(thm)],[f1110,f254]) ).

fof(f21528,definition,
    ( sQ1206_spl
  <=> subset_collections(f23(cx,ct,f24(cx,ct)),f24(cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ1206_spl])],[split_symbol_definition]) ).

fof(f21531,plain,
    ( ~ sQ4_spl
    | sQ1206_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f21524,f1106,f21528,f1109]) ).

fof(f21532,definition,
    ( sQ1207_spl
  <=> open_covering(f23(cx,ct,f24(cx,ct)),cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ1207_spl])],[split_symbol_definition]) ).

fof(f21535,plain,
    ( ~ sQ4_spl
    | sQ1207_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f21525,f1106,f21532,f1109]) ).

fof(f21536,definition,
    ( sQ1208_spl
  <=> finite(f23(cx,ct,f24(cx,ct))) ),
    introduced(definition,[new_symbols(definition,[sQ1208_spl])],[split_symbol_definition]) ).

fof(f21539,plain,
    ( ~ sQ4_spl
    | sQ1208_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f21526,f1106,f21536,f1109]) ).

fof(f21540,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ sQ4_spl
      | finer(ct,f24(cx,ct),X0) ),
    inference(resolution,[status(thm)],[f21527,f19584]) ).

fof(f21541,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ sQ4_spl
      | open_covering(f24(cx,ct),X0,ct) ),
    inference(resolution,[status(thm)],[f21527,f21494]) ).

fof(f21543,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ sQ4_spl
      | subset_collections(f23(X0,ct,f24(cx,ct)),f24(cx,ct))
      | ~ compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21541,f261]) ).

fof(f21544,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ sQ4_spl
      | open_covering(f23(X0,ct,f24(cx,ct)),X0,ct)
      | ~ compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21541,f262]) ).

fof(f21545,plain,
    ! [X0] :
      ( ~ sQ322_spl
      | ~ sQ4_spl
      | finite(f23(X0,ct,f24(cx,ct)))
      | ~ compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f21541,f260]) ).

fof(f21547,plain,
    ( sQ5_spl
    | ~ sQ61_spl
    | ~ sQ71_spl
    | ~ sQ88_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1116,f7006]) ).

fof(f21548,plain,
    ( sQ5_spl
    | ~ sQ61_spl
    | ~ sQ71_spl
    | ~ sQ88_spl ),
    inference(contradiction_clause,[status(thm)],[f21547]) ).

fof(f21549,plain,
    ! [X0,X1,X2] :
      ( ~ sQ61_spl
      | ~ sQ322_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | compact_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19574,f19583]) ).

fof(f21550,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | ~ sQ88_spl
      | ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f207,f7022]) ).

fof(f21551,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ88_spl
      | ~ sQ71_spl
      | ~ sQ61_spl
      | limit_point(X0,X4,X5,X6)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f21550,f6951]) ).

fof(model,axiom,
    ( sQ0_spl
    | ~ sQ3_spl
    | sQ4_spl
    | sQ5_spl
    | sQ7_spl
    | sQ9_spl
    | sQ13_spl
    | sQ14_spl
    | sQ15_spl
    | sQ19_spl
    | sQ20_spl
    | sQ21_spl
    | sQ22_spl
    | sQ23_spl
    | sQ24_spl
    | sQ25_spl
    | sQ26_spl
    | sQ27_spl
    | sQ28_spl
    | sQ29_spl
    | sQ30_spl
    | sQ31_spl
    | sQ32_spl
    | sQ33_spl
    | sQ34_spl
    | sQ35_spl
    | sQ36_spl
    | sQ37_spl
    | sQ38_spl
    | sQ39_spl
    | sQ40_spl
    | sQ41_spl
    | sQ42_spl
    | sQ43_spl
    | sQ44_spl
    | sQ45_spl
    | sQ46_spl
    | sQ47_spl
    | sQ48_spl
    | sQ49_spl
    | sQ50_spl
    | sQ51_spl
    | sQ52_spl
    | sQ53_spl
    | sQ54_spl
    | sQ55_spl
    | sQ56_spl
    | sQ57_spl
    | sQ58_spl
    | sQ59_spl
    | sQ60_spl
    | sQ61_spl
    | sQ64_spl
    | sQ71_spl
    | sQ84_spl
    | sQ86_spl
    | sQ88_spl
    | sQ109_spl
    | sQ115_spl
    | sQ269_spl
    | sQ270_spl
    | sQ287_spl
    | sQ288_spl
    | sQ295_spl
    | sQ296_spl
    | sQ303_spl
    | sQ317_spl
    | sQ318_spl
    | sQ321_spl
    | sQ322_spl
    | sQ324_spl
    | sQ327_spl
    | sQ328_spl
    | sQ329_spl
    | sQ330_spl
    | sQ331_spl
    | sQ332_spl
    | sQ333_spl
    | sQ334_spl
    | sQ335_spl
    | sQ336_spl
    | sQ337_spl
    | sQ338_spl
    | sQ339_spl
    | sQ340_spl
    | sQ341_spl
    | sQ342_spl
    | sQ343_spl
    | sQ344_spl
    | sQ345_spl
    | sQ346_spl
    | sQ347_spl
    | sQ348_spl
    | sQ349_spl
    | sQ350_spl
    | sQ368_spl
    | sQ369_spl
    | sQ380_spl
    | sQ381_spl
    | sQ382_spl
    | sQ383_spl
    | sQ384_spl
    | sQ385_spl
    | sQ386_spl
    | sQ387_spl
    | sQ388_spl
    | sQ389_spl
    | sQ390_spl
    | sQ391_spl
    | sQ392_spl
    | sQ393_spl
    | sQ394_spl
    | sQ395_spl
    | sQ396_spl
    | sQ397_spl
    | sQ398_spl
    | sQ399_spl
    | sQ400_spl
    | sQ401_spl
    | sQ402_spl
    | sQ403_spl
    | sQ404_spl
    | sQ405_spl
    | sQ406_spl
    | sQ407_spl
    | sQ408_spl
    | sQ409_spl
    | sQ410_spl
    | sQ411_spl
    | sQ412_spl
    | sQ413_spl
    | sQ414_spl
    | sQ415_spl
    | sQ416_spl
    | sQ417_spl
    | sQ418_spl
    | sQ419_spl
    | sQ420_spl
    | sQ421_spl
    | sQ422_spl
    | sQ423_spl
    | sQ424_spl
    | sQ425_spl
    | sQ426_spl
    | sQ427_spl
    | sQ428_spl
    | sQ429_spl
    | sQ430_spl
    | ~ sQ437_spl
    | sQ438_spl
    | sQ439_spl
    | sQ440_spl
    | sQ441_spl
    | sQ442_spl
    | sQ443_spl
    | sQ444_spl
    | sQ445_spl
    | sQ446_spl
    | sQ447_spl
    | sQ448_spl
    | sQ449_spl
    | sQ450_spl
    | sQ451_spl
    | sQ452_spl
    | sQ453_spl
    | sQ454_spl
    | sQ455_spl
    | sQ456_spl
    | sQ457_spl
    | sQ458_spl
    | sQ459_spl
    | sQ460_spl
    | sQ461_spl
    | sQ462_spl
    | sQ463_spl
    | sQ464_spl
    | sQ465_spl
    | sQ466_spl
    | sQ468_spl
    | sQ470_spl
    | sQ472_spl
    | sQ473_spl
    | sQ474_spl
    | sQ475_spl
    | sQ476_spl
    | sQ477_spl
    | sQ478_spl
    | sQ479_spl
    | sQ480_spl
    | sQ481_spl
    | sQ484_spl
    | sQ485_spl
    | sQ486_spl
    | sQ491_spl
    | sQ492_spl
    | sQ493_spl
    | sQ494_spl
    | sQ495_spl
    | sQ496_spl
    | sQ497_spl
    | sQ498_spl
    | sQ499_spl
    | sQ500_spl
    | sQ501_spl
    | sQ502_spl
    | sQ503_spl
    | sQ504_spl
    | sQ505_spl
    | sQ506_spl
    | sQ507_spl
    | sQ508_spl
    | sQ509_spl
    | sQ510_spl
    | sQ511_spl
    | sQ512_spl
    | sQ513_spl
    | sQ514_spl
    | sQ515_spl
    | sQ516_spl
    | sQ517_spl
    | sQ518_spl
    | sQ519_spl
    | sQ520_spl
    | sQ521_spl
    | sQ522_spl
    | sQ523_spl
    | sQ524_spl
    | sQ525_spl
    | sQ526_spl
    | sQ527_spl
    | sQ528_spl
    | sQ529_spl
    | sQ530_spl
    | sQ531_spl
    | sQ532_spl
    | sQ533_spl
    | sQ534_spl
    | sQ535_spl
    | sQ536_spl
    | sQ537_spl
    | sQ538_spl
    | sQ539_spl
    | sQ540_spl
    | sQ541_spl
    | sQ542_spl
    | sQ543_spl
    | sQ544_spl
    | sQ545_spl
    | sQ546_spl
    | sQ547_spl
    | sQ548_spl
    | sQ549_spl
    | sQ550_spl
    | sQ551_spl
    | sQ552_spl
    | sQ553_spl
    | sQ554_spl
    | sQ555_spl
    | sQ556_spl
    | sQ557_spl
    | sQ558_spl
    | sQ559_spl
    | sQ560_spl
    | sQ561_spl
    | sQ562_spl
    | sQ563_spl
    | sQ564_spl
    | sQ565_spl
    | sQ566_spl
    | sQ574_spl
    | sQ575_spl
    | sQ576_spl
    | sQ577_spl
    | sQ584_spl
    | sQ585_spl
    | sQ586_spl
    | sQ587_spl
    | sQ606_spl
    | sQ607_spl
    | sQ616_spl
    | sQ617_spl
    | sQ618_spl
    | sQ619_spl
    | sQ620_spl
    | sQ621_spl
    | sQ622_spl
    | sQ623_spl
    | sQ624_spl
    | sQ625_spl
    | sQ626_spl
    | sQ627_spl
    | sQ628_spl
    | sQ629_spl
    | sQ630_spl
    | sQ631_spl
    | sQ632_spl
    | sQ633_spl
    | sQ634_spl
    | sQ635_spl
    | sQ638_spl
    | sQ639_spl
    | sQ640_spl
    | sQ641_spl
    | sQ642_spl
    | sQ643_spl
    | sQ644_spl
    | sQ645_spl
    | sQ646_spl
    | sQ647_spl
    | sQ648_spl
    | sQ649_spl
    | sQ650_spl
    | sQ651_spl
    | sQ652_spl
    | sQ653_spl
    | sQ654_spl
    | sQ655_spl
    | sQ656_spl
    | sQ657_spl
    | sQ658_spl
    | sQ659_spl
    | sQ660_spl
    | sQ661_spl
    | sQ662_spl
    | sQ663_spl
    | sQ664_spl
    | sQ665_spl
    | sQ666_spl
    | sQ667_spl
    | sQ668_spl
    | sQ669_spl
    | sQ670_spl
    | sQ671_spl
    | sQ672_spl
    | sQ673_spl
    | sQ674_spl
    | sQ675_spl
    | sQ676_spl
    | sQ677_spl
    | sQ678_spl
    | sQ679_spl
    | sQ680_spl
    | sQ681_spl
    | sQ682_spl
    | sQ683_spl
    | sQ684_spl
    | sQ685_spl
    | sQ686_spl
    | sQ687_spl
    | sQ688_spl
    | sQ689_spl
    | sQ690_spl
    | sQ691_spl
    | sQ692_spl
    | sQ693_spl
    | sQ694_spl
    | sQ695_spl
    | sQ696_spl
    | sQ697_spl
    | sQ698_spl
    | sQ699_spl
    | sQ700_spl
    | sQ701_spl
    | sQ702_spl
    | sQ703_spl
    | sQ704_spl
    | sQ705_spl
    | sQ706_spl
    | sQ707_spl
    | sQ708_spl
    | sQ709_spl
    | sQ710_spl
    | sQ711_spl
    | sQ712_spl
    | sQ713_spl
    | sQ714_spl
    | sQ715_spl
    | sQ716_spl
    | sQ717_spl
    | sQ718_spl
    | sQ719_spl
    | sQ720_spl
    | sQ721_spl
    | sQ722_spl
    | sQ723_spl
    | sQ724_spl
    | sQ725_spl
    | sQ726_spl
    | sQ727_spl
    | sQ728_spl
    | sQ729_spl
    | sQ730_spl
    | sQ731_spl
    | sQ732_spl
    | sQ733_spl
    | sQ734_spl
    | sQ735_spl
    | sQ736_spl
    | sQ737_spl
    | sQ738_spl
    | sQ739_spl
    | sQ740_spl
    | sQ741_spl
    | sQ742_spl
    | sQ743_spl
    | sQ744_spl
    | sQ745_spl
    | sQ746_spl
    | sQ747_spl
    | sQ748_spl
    | sQ749_spl
    | sQ750_spl
    | sQ751_spl
    | sQ752_spl
    | sQ753_spl
    | sQ754_spl
    | sQ755_spl
    | sQ756_spl
    | sQ757_spl
    | sQ758_spl
    | sQ759_spl
    | sQ760_spl
    | sQ761_spl
    | sQ762_spl
    | sQ763_spl
    | sQ764_spl
    | sQ765_spl
    | sQ766_spl
    | sQ767_spl
    | sQ768_spl
    | sQ769_spl
    | sQ770_spl
    | sQ771_spl
    | sQ772_spl
    | sQ773_spl
    | sQ775_spl
    | sQ776_spl
    | sQ785_spl
    | sQ786_spl
    | sQ787_spl
    | sQ788_spl
    | sQ789_spl
    | sQ790_spl
    | sQ791_spl
    | sQ792_spl
    | sQ793_spl
    | sQ794_spl
    | sQ795_spl
    | sQ796_spl
    | sQ797_spl
    | sQ798_spl
    | sQ799_spl
    | sQ800_spl
    | sQ801_spl
    | sQ802_spl
    | sQ803_spl
    | sQ804_spl
    | sQ805_spl
    | sQ806_spl
    | sQ807_spl
    | sQ808_spl
    | sQ809_spl
    | sQ810_spl
    | sQ811_spl
    | sQ812_spl
    | sQ813_spl
    | sQ814_spl
    | sQ815_spl
    | sQ818_spl
    | sQ819_spl
    | sQ826_spl
    | sQ827_spl
    | sQ828_spl
    | sQ829_spl
    | sQ830_spl
    | sQ831_spl
    | sQ832_spl
    | sQ833_spl
    | sQ834_spl
    | sQ835_spl
    | sQ836_spl
    | sQ837_spl
    | sQ838_spl
    | sQ839_spl
    | sQ840_spl
    | sQ841_spl
    | sQ842_spl
    | sQ843_spl
    | sQ844_spl
    | sQ845_spl
    | sQ846_spl
    | sQ847_spl
    | sQ848_spl
    | sQ849_spl
    | sQ850_spl
    | sQ851_spl
    | sQ852_spl
    | sQ856_spl
    | sQ857_spl
    | sQ863_spl
    | sQ864_spl
    | sQ865_spl
    | sQ866_spl
    | sQ873_spl
    | sQ874_spl
    | sQ875_spl
    | sQ876_spl
    | sQ877_spl
    | sQ878_spl
    | sQ879_spl
    | sQ880_spl
    | sQ881_spl
    | sQ882_spl
    | sQ883_spl
    | sQ884_spl
    | sQ885_spl
    | sQ886_spl
    | sQ887_spl
    | sQ888_spl
    | sQ889_spl
    | sQ890_spl
    | sQ891_spl
    | sQ896_spl
    | sQ897_spl
    | sQ898_spl
    | sQ899_spl
    | sQ904_spl
    | sQ905_spl
    | sQ907_spl
    | sQ908_spl
    | sQ909_spl
    | sQ917_spl
    | sQ918_spl
    | sQ919_spl
    | sQ925_spl
    | sQ927_spl
    | sQ929_spl
    | sQ931_spl
    | sQ933_spl
    | sQ935_spl
    | sQ937_spl
    | sQ939_spl
    | sQ941_spl
    | sQ943_spl
    | sQ945_spl
    | sQ947_spl
    | sQ951_spl
    | sQ953_spl
    | sQ955_spl
    | sQ957_spl
    | sQ973_spl
    | sQ974_spl
    | sQ975_spl
    | sQ976_spl
    | sQ977_spl
    | sQ978_spl
    | sQ979_spl
    | sQ980_spl
    | sQ981_spl
    | sQ982_spl
    | sQ983_spl
    | sQ984_spl
    | sQ985_spl
    | sQ986_spl
    | sQ987_spl
    | sQ988_spl
    | sQ989_spl
    | sQ990_spl
    | sQ991_spl
    | sQ992_spl
    | sQ993_spl
    | sQ994_spl
    | sQ995_spl
    | sQ996_spl
    | sQ997_spl
    | sQ998_spl
    | sQ999_spl
    | sQ1000_spl
    | sQ1001_spl
    | sQ1002_spl
    | sQ1003_spl
    | sQ1004_spl
    | sQ1005_spl
    | sQ1006_spl
    | sQ1007_spl
    | sQ1008_spl
    | sQ1009_spl
    | sQ1010_spl
    | sQ1011_spl
    | sQ1012_spl
    | sQ1013_spl
    | sQ1014_spl
    | sQ1015_spl
    | sQ1016_spl
    | sQ1017_spl
    | sQ1018_spl
    | sQ1019_spl
    | sQ1020_spl
    | sQ1021_spl
    | sQ1022_spl
    | sQ1023_spl
    | sQ1024_spl
    | sQ1025_spl
    | sQ1026_spl
    | sQ1027_spl
    | sQ1028_spl
    | sQ1029_spl
    | sQ1030_spl
    | sQ1031_spl
    | sQ1032_spl
    | sQ1033_spl
    | sQ1034_spl
    | sQ1035_spl
    | sQ1036_spl
    | sQ1037_spl
    | sQ1038_spl
    | sQ1039_spl
    | sQ1040_spl
    | sQ1041_spl
    | sQ1042_spl
    | sQ1043_spl
    | sQ1044_spl
    | sQ1045_spl
    | sQ1046_spl
    | sQ1047_spl
    | sQ1048_spl
    | sQ1049_spl
    | sQ1050_spl
    | sQ1051_spl
    | sQ1052_spl
    | sQ1053_spl
    | sQ1054_spl
    | sQ1055_spl
    | sQ1056_spl
    | sQ1057_spl
    | sQ1058_spl
    | sQ1059_spl
    | sQ1060_spl
    | sQ1061_spl
    | sQ1062_spl
    | sQ1063_spl
    | sQ1064_spl
    | sQ1065_spl
    | sQ1066_spl
    | sQ1067_spl
    | sQ1068_spl
    | sQ1069_spl
    | sQ1070_spl
    | sQ1071_spl
    | sQ1072_spl
    | sQ1073_spl
    | sQ1074_spl
    | sQ1075_spl
    | sQ1076_spl
    | sQ1077_spl
    | sQ1078_spl
    | sQ1079_spl
    | sQ1080_spl
    | sQ1081_spl
    | sQ1082_spl
    | sQ1083_spl
    | sQ1084_spl
    | sQ1085_spl
    | sQ1086_spl
    | sQ1087_spl
    | sQ1088_spl
    | sQ1089_spl
    | sQ1090_spl
    | sQ1091_spl
    | sQ1092_spl
    | sQ1093_spl
    | sQ1094_spl
    | sQ1095_spl
    | sQ1096_spl
    | sQ1097_spl
    | sQ1098_spl
    | sQ1099_spl
    | sQ1100_spl
    | sQ1101_spl
    | sQ1102_spl
    | sQ1103_spl
    | sQ1104_spl
    | sQ1105_spl
    | sQ1106_spl
    | sQ1107_spl
    | sQ1108_spl
    | sQ1109_spl
    | sQ1110_spl
    | sQ1111_spl
    | sQ1112_spl
    | sQ1113_spl
    | sQ1114_spl
    | sQ1120_spl
    | sQ1122_spl
    | sQ1128_spl
    | sQ1142_spl
    | sQ1151_spl
    | sQ1152_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : TOP015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  % Computer : n019.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 12:39:06 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.46  % Drodi V4.1.1
% 63.61/18.29  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 63.61/18.29  % SZS output start Saturation for theBenchmark
% See solution above
% 3.75/18.56  % Elapsed time: 18.097613 seconds
% 3.75/18.56  % CPU time: 140.843860 seconds
% 3.75/18.56  % Total memory used: 522.709 MB
% 3.75/18.56  % Net memory used: 467.918 MB
%------------------------------------------------------------------------------