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

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : TOP019-1 : 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 : n016.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 03:53:40 PM UTC 2026

% Result   : Satisfiable 20.67s 3.81s
% Output   : Saturation 1.50s
% 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,
    connected_set(a,cx,ct),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    ~ connected_set(closure(a,cx,ct),cx,ct),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f112,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(f113,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(f114,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(f115,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)],[f114]) ).

fof(f116,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(f117,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)],[f116]) ).

fof(f118,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(f119,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(f120,plain,
    ! [X0,X1] :
      ( equal_sets(union_of_members(X1),X0)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f121,plain,
    ! [Vt] :
      ( element_of_collection(empty_set,Vt)
      | ! [X] : ~ topological_space(X,Vt) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,X1)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f121]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( element_of_collection(X0,X1)
      | ~ topological_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f124,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(f125,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)],[f124]) ).

fof(f126,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(f127,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)],[f126]) ).

fof(f128,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(f129,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(f130,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(f131,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(f132,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(f133,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(f134,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U] : ~ open(U,X,Vt) ),
    inference(miniscoping,[status(thm)],[f18]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ open(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f134]) ).

fof(f136,plain,
    ! [U,Vt] :
      ( element_of_collection(U,Vt)
      | ! [X] : ~ open(U,X,Vt) ),
    inference(miniscoping,[status(thm)],[f19]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(X0,X2)
      | ~ open(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f138,plain,
    ! [U,Vt] :
      ( ~ element_of_collection(U,Vt)
      | ! [X] :
          ( ~ topological_space(X,Vt)
          | open(U,X,Vt) ) ),
    inference(miniscoping,[status(thm)],[f20]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(X0,X2)
      | ~ topological_space(X1,X2)
      | open(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f140,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U] : ~ closed(U,X,Vt) ),
    inference(miniscoping,[status(thm)],[f21]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ closed(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( open(relative_complement_sets(X0,X1),X1,X2)
      | ~ closed(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f143,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(f144,plain,
    ! [Vt,X] :
      ( topological_space(X,Vt)
      | ! [Vs] : ~ finer(Vt,Vs,X) ),
    inference(miniscoping,[status(thm)],[f24]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( topological_space(X2,X0)
      | ~ finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f144]) ).

fof(f146,plain,
    ! [Vs,X] :
      ( topological_space(X,Vs)
      | ! [Vt] : ~ finer(Vt,Vs,X) ),
    inference(miniscoping,[status(thm)],[f25]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( topological_space(X2,X1)
      | ~ finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f148,plain,
    ! [Vt,Vs] :
      ( subset_collections(Vs,Vt)
      | ! [X] : ~ finer(Vt,Vs,X) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f149,plain,
    ! [X0,X1,X2] :
      ( subset_collections(X1,X0)
      | ~ finer(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f148]) ).

fof(f150,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(f151,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)],[f150]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( equal_sets(union_of_members(X1),X0)
      | ~ basis(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f153,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(f154,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(f155,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(f156,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(f157,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(f158,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(f159,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(f160,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(f161,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(f162,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(f163,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(f164,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(f165,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(f166,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)],[f165]) ).

fof(f167,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    inference(miniscoping,[status(thm)],[f42]) ).

fof(f168,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X1,X2)
      | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f167]) ).

fof(f169,plain,
    ! [X,Y] :
      ( subset_sets(Y,X)
      | ! [U,Vt] : ~ element_of_collection(U,subspace_topology(X,Vt,Y)) ),
    inference(miniscoping,[status(thm)],[f43]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X3,X1)
      | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f171,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(f172,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(f173,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(f174,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)],[f173]) ).

fof(f175,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_set(U,interior(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f47]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f175]) ).

fof(f177,plain,
    ! [Y,X] :
      ( subset_sets(Y,X)
      | ! [U,Vt] : ~ element_of_set(U,interior(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f48]) ).

fof(f178,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,X2)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f177]) ).

fof(f179,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(f180,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(f181,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(f182,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(f183,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)],[f182]) ).

fof(f184,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_set(U,closure(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f53]) ).

fof(f185,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f186,plain,
    ! [Y,X] :
      ( subset_sets(Y,X)
      | ! [U,Vt] : ~ element_of_set(U,closure(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f54]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,X2)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f186]) ).

fof(f188,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(f189,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)],[f188]) ).

fof(f190,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(f191,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(f192,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(f193,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ neighborhood(U,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f59]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f195,plain,
    ! [U,X,Vt] :
      ( open(U,X,Vt)
      | ! [Y] : ~ neighborhood(U,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f60]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3] :
      ( open(X0,X2,X3)
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f197,plain,
    ! [U,Y] :
      ( element_of_set(Y,U)
      | ! [X,Vt] : ~ neighborhood(U,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f61]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X1,X0)
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f199,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(f200,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)],[f199]) ).

fof(f201,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Z,Y] : ~ limit_point(Z,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f63]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f203,plain,
    ! [Y,X] :
      ( subset_sets(Y,X)
      | ! [Z,Vt] : ~ limit_point(Z,Y,X,Vt) ),
    inference(miniscoping,[status(thm)],[f64]) ).

fof(f204,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X1,X2)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f203]) ).

fof(f205,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(f206,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(f207,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(f208,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(f209,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)],[f208]) ).

fof(f210,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [U,Y] : ~ element_of_set(U,boundary(Y,X,Vt)) ),
    inference(miniscoping,[status(thm)],[f69]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(cnf_transformation,[status(thm)],[f210]) ).

fof(f212,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(f213,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(f214,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(f215,plain,
    ! [X0,X1] :
      ( topological_space(X0,X1)
      | ~ hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f216,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(f217,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(f218,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(f219,plain,
    ! [X0,X1] :
      ( element_of_set(f19(X0,X1),X0)
      | ~ topological_space(X0,X1)
      | hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( element_of_set(f20(X0,X1),X0)
      | ~ topological_space(X0,X1)
      | hausdorff(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f221,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(f222,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(f223,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)],[f222]) ).

fof(f224,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Va1,Va2] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f81]) ).

fof(f225,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X2,X3)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f224]) ).

fof(f226,plain,
    ! [Va1] :
      ( ~ equal_sets(Va1,empty_set)
      | ! [Va2,X,Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f82]) ).

fof(f227,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equal_sets(X0,empty_set)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f226]) ).

fof(f228,plain,
    ! [Va2] :
      ( ~ equal_sets(Va2,empty_set)
      | ! [Va1,X,Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f83]) ).

fof(f229,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equal_sets(X1,empty_set)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f228]) ).

fof(f230,plain,
    ! [Va1,Vt] :
      ( element_of_collection(Va1,Vt)
      | ! [Va2,X] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f84]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(X0,X3)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f230]) ).

fof(f232,plain,
    ! [Va2,Vt] :
      ( element_of_collection(Va2,Vt)
      | ! [Va1,X] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f85]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(X1,X3)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f232]) ).

fof(f234,plain,
    ! [Va1,Va2,X] :
      ( equal_sets(union_of_sets(Va1,Va2),X)
      | ! [Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f86]) ).

fof(f235,plain,
    ! [X0,X1,X2,X3] :
      ( equal_sets(union_of_sets(X0,X1),X2)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f234]) ).

fof(f236,plain,
    ! [Va1,Va2] :
      ( disjoint_s(Va1,Va2)
      | ! [X,Vt] : ~ separation(Va1,Va2,X,Vt) ),
    inference(miniscoping,[status(thm)],[f87]) ).

fof(f237,plain,
    ! [X0,X1,X2,X3] :
      ( disjoint_s(X0,X1)
      | ~ separation(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f236]) ).

fof(f238,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(f239,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)],[f238]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( topological_space(X0,X1)
      | ~ connected_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f241,plain,
    ! [X,Vt] :
      ( ! [Va1,Va2] : ~ separation(Va1,Va2,X,Vt)
      | ~ connected_space(X,Vt) ),
    inference(miniscoping,[status(thm)],[f90]) ).

fof(f242,plain,
    ! [X0,X1,X2,X3] :
      ( ~ separation(X2,X3,X0,X1)
      | ~ connected_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f241]) ).

fof(f243,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(f244,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Va] : ~ connected_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f92]) ).

fof(f245,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f246,plain,
    ! [Va,X] :
      ( subset_sets(Va,X)
      | ! [Vt] : ~ connected_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f93]) ).

fof(f247,plain,
    ! [X0,X1,X2] :
      ( subset_sets(X0,X1)
      | ~ connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f246]) ).

fof(f248,plain,
    ! [X0,X1,X2] :
      ( connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ connected_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f249,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(f250,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Vf] : ~ open_covering(Vf,X,Vt) ),
    inference(miniscoping,[status(thm)],[f96]) ).

fof(f251,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f250]) ).

fof(f252,plain,
    ! [Vf,Vt] :
      ( subset_collections(Vf,Vt)
      | ! [X] : ~ open_covering(Vf,X,Vt) ),
    inference(miniscoping,[status(thm)],[f97]) ).

fof(f253,plain,
    ! [X0,X1,X2] :
      ( subset_collections(X0,X2)
      | ~ open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f254,plain,
    ! [Vf,X] :
      ( equal_sets(union_of_members(Vf),X)
      | ! [Vt] : ~ open_covering(Vf,X,Vt) ),
    inference(miniscoping,[status(thm)],[f98]) ).

fof(f255,plain,
    ! [X0,X1,X2] :
      ( equal_sets(union_of_members(X0),X1)
      | ~ open_covering(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f254]) ).

fof(f256,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(f257,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)],[f256]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( topological_space(X0,X1)
      | ~ compact_space(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f259,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(f260,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(f261,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(f262,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(f263,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(f264,plain,
    ! [X,Vt] :
      ( topological_space(X,Vt)
      | ! [Va] : ~ compact_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f106]) ).

fof(f265,plain,
    ! [X0,X1,X2] :
      ( topological_space(X1,X2)
      | ~ compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f264]) ).

fof(f266,plain,
    ! [Va,X] :
      ( subset_sets(Va,X)
      | ! [Vt] : ~ compact_set(Va,X,Vt) ),
    inference(miniscoping,[status(thm)],[f107]) ).

fof(f267,plain,
    ! [X0,X1,X2] :
      ( subset_sets(X0,X1)
      | ~ compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f266]) ).

fof(f268,plain,
    ! [X0,X1,X2] :
      ( compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ compact_set(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f108]) ).

fof(f269,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(f270,plain,
    connected_set(a,cx,ct),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f271,plain,
    ~ connected_set(closure(a,cx,ct),cx,ct),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f272,plain,
    topological_space(cx,ct),
    inference(resolution,[status(thm)],[f245,f270]) ).

fof(f273,plain,
    subset_sets(a,cx),
    inference(resolution,[status(thm)],[f247,f270]) ).

fof(f274,plain,
    element_of_collection(cx,ct),
    inference(resolution,[status(thm)],[f123,f272]) ).

fof(f275,plain,
    element_of_collection(empty_set,ct),
    inference(resolution,[status(thm)],[f122,f272]) ).

fof(f276,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),X2)
      | ~ element_of_collection(X2,X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f164,f117]) ).

fof(f277,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)],[f164,f113]) ).

fof(f278,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)],[f164,f112]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3] :
      ( subset_sets(X0,X1)
      | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f164,f187]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3] :
      ( topological_space(X1,X2)
      | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f164,f185]) ).

fof(f281,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(X0,X2)
      | element_of_set(f11(X1,X0),union_of_members(X2))
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f164,f115]) ).

fof(f282,plain,
    ( element_of_set(f19(cx,ct),cx)
    | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f219,f272]) ).

fof(f283,definition,
    ( sQ0_spl
  <=> hausdorff(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f284,plain,
    ( ~ sQ0_spl
    | hausdorff(cx,ct) ),
    inference(component_clause,[status(thm)],[f283]) ).

fof(f286,definition,
    ( sQ1_spl
  <=> element_of_set(f19(cx,ct),cx) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f289,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f282,f283,f286]) ).

fof(f290,plain,
    ( element_of_set(f20(cx,ct),cx)
    | hausdorff(cx,ct) ),
    inference(resolution,[status(thm)],[f220,f272]) ).

fof(f291,definition,
    ( sQ2_spl
  <=> element_of_set(f20(cx,ct),cx) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f294,plain,
    ( sQ2_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f290,f283,f291]) ).

fof(f295,plain,
    ( open_covering(f24(cx,ct),cx,ct)
    | compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f262,f272]) ).

fof(f296,definition,
    ( sQ3_spl
  <=> compact_space(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f297,plain,
    ( ~ sQ3_spl
    | compact_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f298,plain,
    ( sQ3_spl
    | ~ compact_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f299,definition,
    ( sQ4_spl
  <=> open_covering(f24(cx,ct),cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f300,plain,
    ( ~ sQ4_spl
    | open_covering(f24(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f301,plain,
    ( sQ4_spl
    | ~ open_covering(f24(cx,ct),cx,ct) ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f302,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f295,f296,f299]) ).

fof(f305,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | element_of_set(f11(X2,f2(X0,X1)),union_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f281,f118]) ).

fof(f306,plain,
    ! [X0] :
      ( element_of_set(f11(X0,empty_set),union_of_members(ct))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f281,f275]) ).

fof(f307,plain,
    ! [X0] :
      ( element_of_set(f11(X0,cx),union_of_members(ct))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f281,f274]) ).

fof(f308,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)],[f306,f113]) ).

fof(f309,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)],[f306,f112]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(union_of_members(ct),X1)
      | element_of_set(f11(X0,empty_set),union_of_members(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f306,f115]) ).

fof(f311,plain,
    ! [X0] :
      ( element_of_collection(f1(ct,f11(X0,cx)),ct)
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f307,f113]) ).

fof(f312,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)],[f307,f112]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(union_of_members(ct),X1)
      | element_of_set(f11(X0,cx),union_of_members(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f307,f115]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f308,f281]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f311,f281]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(f1(ct,f11(X0,empty_set)),X1)
      | element_of_set(f11(X0,empty_set),union_of_members(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f309,f115]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(f1(ct,f11(X0,cx)),X1)
      | element_of_set(f11(X0,cx),union_of_members(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f312,f115]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),ct)
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f314,f113]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f314,f112]) ).

fof(f320,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(union_of_members(ct),X2)
      | element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f314,f115]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),ct)
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f315,f113]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,cx))),f1(ct,f11(X1,f1(ct,f11(X0,cx)))))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f315,f112]) ).

fof(f327,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(union_of_members(ct),X2)
      | element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f315,f115]) ).

fof(f328,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f318,f281]) ).

fof(f329,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f325,f281]) ).

fof(f330,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),X2)
      | element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f319,f115]) ).

fof(f331,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),X2)
      | element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f326,f115]) ).

fof(f336,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),ct)
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f328,f113]) ).

fof(f337,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))),f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f328,f112]) ).

fof(f338,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(union_of_members(ct),X3)
      | element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))),union_of_members(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f328,f115]) ).

fof(f339,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),ct)
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f329,f113]) ).

fof(f340,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))),f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f329,f112]) ).

fof(f341,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(union_of_members(ct),X3)
      | element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))),union_of_members(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f329,f115]) ).

fof(f342,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f336,f281]) ).

fof(f343,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f339,f281]) ).

fof(f344,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),X3)
      | element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))),union_of_members(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f337,f115]) ).

fof(f345,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),X3)
      | element_of_set(f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))),union_of_members(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f340,f115]) ).

fof(f350,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),ct)
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f342,f113]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))),f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f342,f112]) ).

fof(f352,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(union_of_members(ct),X4)
      | element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))),union_of_members(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f342,f115]) ).

fof(f353,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),ct)
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f343,f113]) ).

fof(f354,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))),f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f343,f112]) ).

fof(f355,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(union_of_members(ct),X4)
      | element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))),union_of_members(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f343,f115]) ).

fof(f356,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f350,f281]) ).

fof(f357,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f353,f281]) ).

fof(f358,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),X4)
      | element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))),union_of_members(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f351,f115]) ).

fof(f359,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),X4)
      | element_of_set(f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))),union_of_members(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f354,f115]) ).

fof(f364,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))),ct)
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f356,f113]) ).

fof(f365,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))),f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f356,f112]) ).

fof(f366,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_collection(union_of_members(ct),X5)
      | element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))),union_of_members(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f356,f115]) ).

fof(f367,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))))),ct)
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f357,f113]) ).

fof(f368,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))))),f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))))))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f357,f112]) ).

fof(f369,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_collection(union_of_members(ct),X5)
      | element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))))),union_of_members(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f357,f115]) ).

fof(f370,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))),top_of_basis(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f364,f281]) ).

fof(f371,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))),X5)
      | element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))),union_of_members(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f365,f115]) ).

fof(f372,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))))))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))))),top_of_basis(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f367,f281]) ).

fof(f373,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))))),X5)
      | element_of_set(f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx))))))))),union_of_members(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f368,f115]) ).

fof(f374,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X5,f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))))),ct)
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))),top_of_basis(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f370,f113]) ).

fof(f375,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))))),f1(ct,f11(X5,f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))))))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))),top_of_basis(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f370,f112]) ).

fof(f376,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_collection(union_of_members(ct),X6)
      | element_of_set(f11(X5,f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set))))))))))),union_of_members(X6))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))))),top_of_basis(X5))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X1,f1(ct,f11(X0,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f370,f115]) ).

fof(f377,plain,
    ( separation(f21(cx,ct),f22(cx,ct),cx,ct)
    | connected_space(cx,ct) ),
    inference(resolution,[status(thm)],[f243,f272]) ).

fof(f378,definition,
    ( sQ5_spl
  <=> connected_space(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f379,plain,
    ( ~ sQ5_spl
    | connected_space(cx,ct) ),
    inference(component_clause,[status(thm)],[f378]) ).

fof(f381,definition,
    ( sQ6_spl
  <=> separation(f21(cx,ct),f22(cx,ct),cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f384,plain,
    ( sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f377,f378,f381]) ).

fof(f385,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),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)],[f277,f281]) ).

fof(f386,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,cx)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,cx)),top_of_basis(X4))
      | element_of_collection(cx,top_of_basis(X5))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f367]) ).

fof(f387,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,empty_set)),top_of_basis(X4))
      | element_of_collection(empty_set,top_of_basis(X5))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f364]) ).

fof(f388,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,cx)))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,cx)),top_of_basis(X3))
      | element_of_collection(cx,top_of_basis(X4))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,cx)))))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f353]) ).

fof(f389,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,empty_set)),top_of_basis(X3))
      | element_of_collection(empty_set,top_of_basis(X4))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f350]) ).

fof(f390,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,cx)))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,cx)),top_of_basis(X2))
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,cx)))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f339]) ).

fof(f391,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,empty_set)))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,empty_set)),top_of_basis(X2))
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,empty_set)))))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f336]) ).

fof(f392,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(ct,f11(X2,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,cx)))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f325]) ).

fof(f393,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(ct,f11(X2,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,f1(ct,f11(X2,empty_set)))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f318]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,cx)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f311]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,empty_set)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f308]) ).

fof(f396,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,union_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f277]) ).

fof(f397,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),closure(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f280]) ).

fof(f398,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),closure(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f279]) ).

fof(f399,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),f2(X0,X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f118]) ).

fof(f400,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_members(ct)),empty_set)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f275]) ).

fof(f401,plain,
    ! [X0] :
      ( element_of_set(f11(X0,intersection_of_members(ct)),cx)
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f274]) ).

fof(f402,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)],[f397,f185]) ).

fof(f403,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)],[f398,f187]) ).

fof(f404,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f402,f276]) ).

fof(f405,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f402,f281]) ).

fof(f406,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)],[f402,f243]) ).

fof(f407,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)],[f402,f262]) ).

fof(f408,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)],[f402,f220]) ).

fof(f409,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)],[f402,f219]) ).

fof(f410,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)],[f402,f122]) ).

fof(f411,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)],[f402,f123]) ).

fof(f412,definition,
    ! [X0,X1] :
      ( sQ7_spl
    <=> topological_space(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f412]) ).

fof(f415,definition,
    ! [X2,X3,X4] :
      ( sQ8_spl
    <=> ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(X4)))
        | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f416,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),intersection_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f415]) ).

fof(f418,plain,
    ( sQ8_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f404,f412,f415]) ).

fof(f419,definition,
    ! [X2,X3,X4] :
      ( sQ9_spl
    <=> ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X4)))
        | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f420,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,plain,
    ( sQ9_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f405,f412,f419]) ).

fof(f423,definition,
    ! [X0,X1] :
      ( sQ10_spl
    <=> element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f424,plain,
    ! [X0,X1] :
      ( ~ sQ10_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f423]) ).

fof(f426,definition,
    ! [X2,X3] :
      ( sQ11_spl
    <=> ( separation(f21(X2,X3),f22(X2,X3),X2,X3)
        | connected_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f429,plain,
    ( sQ11_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f406,f423,f426]) ).

fof(f430,definition,
    ! [X2,X3] :
      ( sQ12_spl
    <=> ( open_covering(f24(X2,X3),X2,X3)
        | compact_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f433,plain,
    ( sQ12_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f407,f423,f430]) ).

fof(f434,definition,
    ! [X2,X3] :
      ( sQ13_spl
    <=> ( element_of_set(f20(X2,X3),X2)
        | hausdorff(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f437,plain,
    ( sQ13_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f408,f423,f434]) ).

fof(f438,definition,
    ! [X2,X3] :
      ( sQ14_spl
    <=> ( element_of_set(f19(X2,X3),X2)
        | hausdorff(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f441,plain,
    ( sQ14_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f409,f423,f438]) ).

fof(f442,definition,
    ! [X2] :
      ( sQ15_spl
    <=> element_of_collection(empty_set,X2) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f445,plain,
    ( sQ15_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f410,f423,f442]) ).

fof(f446,definition,
    ! [X2,X3] :
      ( sQ16_spl
    <=> element_of_collection(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f449,plain,
    ( sQ16_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f411,f423,f446]) ).

fof(f450,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f403,f276]) ).

fof(f451,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f403,f281]) ).

fof(f452,definition,
    ! [X0,X1] :
      ( sQ17_spl
    <=> subset_sets(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( sQ8_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f450,f452,f415]) ).

fof(f456,plain,
    ( sQ9_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f451,f452,f419]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(empty_set,X1)
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f400,f115]) ).

fof(f458,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(cx,X1)
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f401,f115]) ).

fof(f459,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)],[f190,f272]) ).

fof(f460,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(X4)),top_of_basis(X5))
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f190,f402]) ).

fof(f461,definition,
    ! [X0,X1,X2,X3] :
      ( sQ18_spl
    <=> ( subset_sets(X1,f14(X1,X2,X3,X0))
        | ~ subset_sets(X1,X2)
        | element_of_set(X0,closure(X1,X2,X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f464,plain,
    ( sQ10_spl
    | sQ18_spl ),
    inference(split_clause,[status(thm)],[f460,f461,f423]) ).

fof(f465,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)],[f207,f272]) ).

fof(f466,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(X4)),top_of_basis(X5))
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f207,f402]) ).

fof(f467,definition,
    ! [X0,X1,X2,X3] :
      ( sQ19_spl
    <=> ( neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
        | ~ subset_sets(X1,X2)
        | limit_point(X0,X1,X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f470,plain,
    ( sQ10_spl
    | sQ19_spl ),
    inference(split_clause,[status(thm)],[f466,f467,f423]) ).

fof(f471,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X2)
      | element_of_set(f11(X1,union_of_members(X0)),union_of_members(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f278,f115]) ).

fof(f472,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)],[f191,f272]) ).

fof(f473,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(X4)),top_of_basis(X5))
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f191,f402]) ).

fof(f474,definition,
    ! [X0,X1,X2,X3] :
      ( sQ20_spl
    <=> ( closed(f14(X1,X2,X3,X0),X2,X3)
        | ~ subset_sets(X1,X2)
        | element_of_set(X0,closure(X1,X2,X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f477,plain,
    ( sQ10_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f473,f474,f423]) ).

fof(f479,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(f2(X0,X2),X3)
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f399,f115]) ).

fof(f481,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)],[f457,f275]) ).

fof(f482,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)],[f481,f113]) ).

fof(f483,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)],[f481,f112]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(union_of_members(ct),X1)
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f481,f115]) ).

fof(f485,plain,
    ! [X0,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(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f482,f276]) ).

fof(f486,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,intersection_of_members(ct)))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f482,f281]) ).

fof(f488,plain,
    ! [X0] :
      ( subset_sets(a,f14(a,cx,ct,X0))
      | element_of_set(X0,closure(a,cx,ct)) ),
    inference(resolution,[status(thm)],[f459,f273]) ).

fof(f489,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X1,f14(X1,cx,ct,X0))
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f459,f403]) ).

fof(f490,definition,
    ! [X0,X1] :
      ( sQ21_spl
    <=> ( subset_sets(X1,f14(X1,cx,ct,X0))
        | element_of_set(X0,closure(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f493,plain,
    ( sQ10_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f489,f490,f423]) ).

fof(f494,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X0)
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f305,f113]) ).

fof(f495,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(X0,X1)),f1(X0,f11(X2,f2(X0,X1))))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f305,f112]) ).

fof(f496,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(union_of_members(X0),X3)
      | element_of_set(f11(X2,f2(X0,X1)),union_of_members(X3))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f305,f115]) ).

fof(f497,plain,
    ! [X0] :
      ( neighborhood(f16(X0,a,cx,ct),X0,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f465,f273]) ).

fof(f498,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f465,f403]) ).

fof(f499,definition,
    ! [X0,X1] :
      ( sQ22_spl
    <=> ( neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
        | limit_point(X0,X1,cx,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f502,plain,
    ( sQ10_spl
    | sQ22_spl ),
    inference(split_clause,[status(thm)],[f498,f499,f423]) ).

fof(f503,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X2,f2(X0,X1))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f494,f276]) ).

fof(f504,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(X0,f11(X2,f2(X0,X1)))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X2,f2(X0,X1))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f494,f281]) ).

fof(f505,plain,
    ! [X0] :
      ( closed(f14(a,cx,ct,X0),cx,ct)
      | element_of_set(X0,closure(a,cx,ct)) ),
    inference(resolution,[status(thm)],[f472,f273]) ).

fof(f506,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | closed(f14(X1,cx,ct,X0),cx,ct)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(resolution,[status(thm)],[f472,f403]) ).

fof(f507,definition,
    ! [X0,X1] :
      ( sQ23_spl
    <=> ( closed(f14(X1,cx,ct,X0),cx,ct)
        | element_of_set(X0,closure(X1,cx,ct)) ) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f510,plain,
    ( sQ10_spl
    | sQ23_spl ),
    inference(split_clause,[status(thm)],[f506,f507,f423]) ).

fof(f511,plain,
    ! [X0] :
      ( topological_space(cx,ct)
      | element_of_set(X0,closure(a,cx,ct)) ),
    inference(resolution,[status(thm)],[f505,f141]) ).

fof(f512,definition,
    ! [X0] :
      ( sQ24_spl
    <=> element_of_set(X0,closure(a,cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f513,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | element_of_set(X0,closure(a,cx,ct)) ),
    inference(component_clause,[status(thm)],[f512]) ).

fof(f515,definition,
    ( sQ25_spl
  <=> topological_space(cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f518,plain,
    ( sQ25_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f511,f512,f515]) ).

fof(f519,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),X1)
      | element_of_set(f11(X0,intersection_of_members(ct)),union_of_members(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f483,f115]) ).

fof(f520,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)],[f209,f164]) ).

fof(f523,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X0))
      | 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(resolution,[status(thm)],[f479,f118]) ).

fof(f524,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)],[f523]) ).

fof(f525,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)],[f524,f117]) ).

fof(f526,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(intersection_of_members(X0),X3)
      | element_of_set(X2,union_of_members(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)],[f524,f115]) ).

fof(f527,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)],[f524,f113]) ).

fof(f528,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)],[f524,f112]) ).

fof(f529,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(union_of_members(X0),X3)
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f524,f115]) ).

fof(f530,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)],[f527,f117]) ).

fof(f531,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(intersection_of_members(X0),X3)
      | element_of_set(X2,union_of_members(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)],[f527,f115]) ).

fof(f532,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f527,f276]) ).

fof(f533,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(X0,f11(X1,intersection_of_members(X0)))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f527,f281]) ).

fof(f534,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)],[f525,f403]) ).

fof(f535,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)],[f525,f402]) ).

fof(f536,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)],[f525,f482]) ).

fof(f537,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx)))))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,f1(ct,f11(X6,cx)))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X6,cx)),top_of_basis(X5))
      | element_of_collection(cx,top_of_basis(X6))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,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)],[f525,f367]) ).

fof(f538,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X6,empty_set)),top_of_basis(X5))
      | element_of_collection(empty_set,top_of_basis(X6))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,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)],[f525,f364]) ).

fof(f539,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,cx)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,cx)),top_of_basis(X4))
      | element_of_collection(cx,top_of_basis(X5))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,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)],[f525,f353]) ).

fof(f540,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,empty_set)),top_of_basis(X4))
      | element_of_collection(empty_set,top_of_basis(X5))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,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)],[f525,f350]) ).

fof(f541,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,cx)),top_of_basis(X3))
      | element_of_collection(cx,top_of_basis(X4))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,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)],[f525,f339]) ).

fof(f542,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,empty_set)),top_of_basis(X3))
      | element_of_collection(empty_set,top_of_basis(X4))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,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)],[f525,f336]) ).

fof(f543,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X3,cx)),top_of_basis(X2))
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(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)],[f525,f325]) ).

fof(f544,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X3,empty_set)),top_of_basis(X2))
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(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)],[f525,f318]) ).

fof(f545,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)],[f525,f311]) ).

fof(f546,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)],[f525,f308]) ).

fof(f549,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)],[f525,f277]) ).

fof(f550,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)],[f525,f280]) ).

fof(f551,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)],[f525,f279]) ).

fof(f553,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)],[f525,f275]) ).

fof(f554,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)],[f525,f274]) ).

fof(f555,definition,
    ! [X0,X1] :
      ( sQ26_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,[sQ26_spl])],[split_symbol_definition]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( ~ sQ26_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)],[f555]) ).

fof(f558,definition,
    ! [X2,X3] :
      ( sQ27_spl
    <=> element_of_set(X2,intersection_of_members(top_of_basis(X3))) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( ~ sQ27_spl
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f558]) ).

fof(f561,plain,
    ( sQ17_spl
    | sQ27_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f534,f555,f558,f452]) ).

fof(f562,plain,
    ( sQ7_spl
    | sQ27_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f535,f555,f558,f412]) ).

fof(f563,definition,
    ! [X0] :
      ( sQ28_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,[sQ28_spl])],[split_symbol_definition]) ).

fof(f566,definition,
    ! [X1,X2] :
      ( sQ29_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,[sQ29_spl])],[split_symbol_definition]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( ~ sQ29_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)],[f566]) ).

fof(f569,plain,
    ( sQ29_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f536,f563,f566]) ).

fof(f570,definition,
    ! [X1,X2,X3,X4,X5,X6] :
      ( sQ30_spl
    <=> ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx)))))))),top_of_basis(X2))
        | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx)))))),top_of_basis(X3))
        | element_of_collection(f1(ct,f11(X5,f1(ct,f11(X6,cx)))),top_of_basis(X4))
        | element_of_collection(f1(ct,f11(X6,cx)),top_of_basis(X5))
        | element_of_collection(cx,top_of_basis(X6))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx))))))))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f571,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ30_spl
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,cx)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,cx)),top_of_basis(X4))
      | element_of_collection(cx,top_of_basis(X5))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx))))))))))) ),
    inference(component_clause,[status(thm)],[f570]) ).

fof(f573,plain,
    ( sQ30_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f537,f563,f570]) ).

fof(f574,definition,
    ! [X1,X2,X3,X4,X5,X6] :
      ( sQ31_spl
    <=> ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))))))),top_of_basis(X2))
        | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))))),top_of_basis(X3))
        | element_of_collection(f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))),top_of_basis(X4))
        | element_of_collection(f1(ct,f11(X6,empty_set)),top_of_basis(X5))
        | element_of_collection(empty_set,top_of_basis(X6))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set))))))))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f575,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ31_spl
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,empty_set)),top_of_basis(X4))
      | element_of_collection(empty_set,top_of_basis(X5))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set))))))))))) ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f577,plain,
    ( sQ31_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f538,f563,f574]) ).

fof(f578,definition,
    ! [X1,X2,X3,X4,X5] :
      ( sQ32_spl
    <=> ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))),top_of_basis(X2))
        | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,cx)))),top_of_basis(X3))
        | element_of_collection(f1(ct,f11(X5,cx)),top_of_basis(X4))
        | element_of_collection(cx,top_of_basis(X5))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx))))))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f579,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ32_spl
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,cx)))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,cx)),top_of_basis(X3))
      | element_of_collection(cx,top_of_basis(X4))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,cx))))))))) ),
    inference(component_clause,[status(thm)],[f578]) ).

fof(f581,plain,
    ( sQ32_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f539,f563,f578]) ).

fof(f582,definition,
    ! [X1,X2,X3,X4,X5] :
      ( sQ33_spl
    <=> ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))),top_of_basis(X2))
        | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))),top_of_basis(X3))
        | element_of_collection(f1(ct,f11(X5,empty_set)),top_of_basis(X4))
        | element_of_collection(empty_set,top_of_basis(X5))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set))))))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f583,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ33_spl
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,empty_set)),top_of_basis(X3))
      | element_of_collection(empty_set,top_of_basis(X4))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,empty_set))))))))) ),
    inference(component_clause,[status(thm)],[f582]) ).

fof(f585,plain,
    ( sQ33_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f540,f563,f582]) ).

fof(f586,definition,
    ! [X1,X2,X3,X4] :
      ( sQ34_spl
    <=> ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,cx)))),top_of_basis(X2))
        | element_of_collection(f1(ct,f11(X4,cx)),top_of_basis(X3))
        | element_of_collection(cx,top_of_basis(X4))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,cx))))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f587,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ34_spl
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,cx)))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,cx)),top_of_basis(X2))
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,cx))))))) ),
    inference(component_clause,[status(thm)],[f586]) ).

fof(f589,plain,
    ( sQ34_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f541,f563,f586]) ).

fof(f590,definition,
    ! [X1,X2,X3,X4] :
      ( sQ35_spl
    <=> ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))),top_of_basis(X2))
        | element_of_collection(f1(ct,f11(X4,empty_set)),top_of_basis(X3))
        | element_of_collection(empty_set,top_of_basis(X4))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,empty_set))))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f591,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ35_spl
      | element_of_collection(f1(ct,f11(X2,f1(ct,f11(X3,empty_set)))),top_of_basis(X1))
      | element_of_collection(f1(ct,f11(X3,empty_set)),top_of_basis(X2))
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,f1(ct,f11(X3,empty_set))))))) ),
    inference(component_clause,[status(thm)],[f590]) ).

fof(f593,plain,
    ( sQ35_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f542,f563,f590]) ).

fof(f594,definition,
    ! [X1,X2,X3] :
      ( sQ36_spl
    <=> ( element_of_collection(f1(ct,f11(X3,cx)),top_of_basis(X2))
        | element_of_collection(cx,top_of_basis(X3))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,cx))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f595,plain,
    ! [X0,X1,X2] :
      ( ~ sQ36_spl
      | element_of_collection(f1(ct,f11(X2,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X2))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,cx))))) ),
    inference(component_clause,[status(thm)],[f594]) ).

fof(f597,plain,
    ( sQ36_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f543,f563,f594]) ).

fof(f598,definition,
    ! [X1,X2,X3] :
      ( sQ37_spl
    <=> ( element_of_collection(f1(ct,f11(X3,empty_set)),top_of_basis(X2))
        | element_of_collection(empty_set,top_of_basis(X3))
        | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,empty_set))))) ) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f599,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | element_of_collection(f1(ct,f11(X2,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X2))
      | element_of_set(X0,f1(ct,f11(X1,f1(ct,f11(X2,empty_set))))) ),
    inference(component_clause,[status(thm)],[f598]) ).

fof(f601,plain,
    ( sQ37_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f544,f563,f598]) ).

fof(f602,definition,
    ! [X1,X2] :
      ( sQ38_spl
    <=> ( element_of_collection(cx,top_of_basis(X2))
        | element_of_set(X1,f1(ct,f11(X2,cx))) ) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f603,plain,
    ! [X0,X1] :
      ( ~ sQ38_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(component_clause,[status(thm)],[f602]) ).

fof(f605,plain,
    ( sQ38_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f545,f563,f602]) ).

fof(f606,definition,
    ! [X1,X2] :
      ( sQ39_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,[sQ39_spl])],[split_symbol_definition]) ).

fof(f607,plain,
    ! [X0,X1] :
      ( ~ sQ39_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)],[f606]) ).

fof(f609,plain,
    ( sQ39_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f546,f563,f606]) ).

fof(f610,definition,
    ! [X2,X3,X4,X5] :
      ( sQ40_spl
    <=> ( topological_space(X4,X5)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f611,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ40_spl
      | topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f610]) ).

fof(f613,plain,
    ( sQ40_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f550,f555,f610]) ).

fof(f614,definition,
    ! [X2,X3,X4,X5] :
      ( sQ41_spl
    <=> ( subset_sets(X3,X4)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f615,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ41_spl
      | subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f614]) ).

fof(f617,plain,
    ( sQ41_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f551,f555,f614]) ).

fof(f618,definition,
    ! [X1] :
      ( sQ42_spl
    <=> element_of_set(X1,empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f619,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | element_of_set(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f618]) ).

fof(f621,plain,
    ( sQ42_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f553,f563,f618]) ).

fof(f622,definition,
    ! [X1] :
      ( sQ43_spl
    <=> element_of_set(X1,cx) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | element_of_set(X0,cx) ),
    inference(component_clause,[status(thm)],[f622]) ).

fof(f625,plain,
    ( sQ43_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f554,f563,f622]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ~ sQ26_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)],[f556,f113]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ~ sQ26_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)],[f556,f112]) ).

fof(f628,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | ~ element_of_collection(union_of_members(top_of_basis(X0)),X2)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f556,f115]) ).

fof(f629,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X5)
      | 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)],[f530,f403]) ).

fof(f630,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | 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)],[f530,f402]) ).

fof(f631,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)],[f530,f482]) ).

fof(f632,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx)))))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,cx)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,f1(ct,f11(X6,cx)))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X6,cx)),top_of_basis(X5))
      | element_of_collection(cx,top_of_basis(X6))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,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)],[f530,f367]) ).

fof(f633,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,f1(ct,f11(X6,empty_set)))),top_of_basis(X4))
      | element_of_collection(f1(ct,f11(X6,empty_set)),top_of_basis(X5))
      | element_of_collection(empty_set,top_of_basis(X6))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,f1(ct,f11(X6,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)],[f530,f364]) ).

fof(f634,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,cx)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,cx)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,cx)),top_of_basis(X4))
      | element_of_collection(cx,top_of_basis(X5))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,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)],[f530,f353]) ).

fof(f635,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,f1(ct,f11(X5,empty_set)))),top_of_basis(X3))
      | element_of_collection(f1(ct,f11(X5,empty_set)),top_of_basis(X4))
      | element_of_collection(empty_set,top_of_basis(X5))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,f1(ct,f11(X5,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)],[f530,f350]) ).

fof(f636,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,cx)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,cx)),top_of_basis(X3))
      | element_of_collection(cx,top_of_basis(X4))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,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)],[f530,f339]) ).

fof(f637,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(ct,f11(X3,f1(ct,f11(X4,empty_set)))),top_of_basis(X2))
      | element_of_collection(f1(ct,f11(X4,empty_set)),top_of_basis(X3))
      | element_of_collection(empty_set,top_of_basis(X4))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,f1(ct,f11(X4,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)],[f530,f336]) ).

fof(f638,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X3,cx)),top_of_basis(X2))
      | element_of_collection(cx,top_of_basis(X3))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,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)],[f530,f325]) ).

fof(f639,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(ct,f11(X3,empty_set)),top_of_basis(X2))
      | element_of_collection(empty_set,top_of_basis(X3))
      | element_of_set(X1,f1(ct,f11(X2,f1(ct,f11(X3,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)],[f530,f318]) ).

fof(f640,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)],[f530,f311]) ).

fof(f641,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)],[f530,f308]) ).

fof(f644,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_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)],[f530,f277]) ).

fof(f645,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)],[f530,f280]) ).

fof(f646,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)],[f530,f279]) ).

fof(f648,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)],[f530,f275]) ).

fof(f649,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)],[f530,f274]) ).

fof(f650,definition,
    ! [X0,X1] :
      ( sQ44_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,[sQ44_spl])],[split_symbol_definition]) ).

fof(f651,plain,
    ! [X0,X1] :
      ( ~ sQ44_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)],[f650]) ).

fof(f653,plain,
    ( sQ17_spl
    | sQ27_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f629,f650,f558,f452]) ).

fof(f654,plain,
    ( sQ7_spl
    | sQ27_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f630,f650,f558,f412]) ).

fof(f655,definition,
    ! [X0] :
      ( sQ45_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,[sQ45_spl])],[split_symbol_definition]) ).

fof(f658,plain,
    ( sQ29_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f631,f655,f566]) ).

fof(f659,plain,
    ( sQ30_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f632,f655,f570]) ).

fof(f660,plain,
    ( sQ31_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f633,f655,f574]) ).

fof(f661,plain,
    ( sQ32_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f634,f655,f578]) ).

fof(f662,plain,
    ( sQ33_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f635,f655,f582]) ).

fof(f663,plain,
    ( sQ34_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f636,f655,f586]) ).

fof(f664,plain,
    ( sQ35_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f637,f655,f590]) ).

fof(f665,plain,
    ( sQ36_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f638,f655,f594]) ).

fof(f666,plain,
    ( sQ37_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f639,f655,f598]) ).

fof(f667,plain,
    ( sQ38_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f640,f655,f602]) ).

fof(f668,plain,
    ( sQ39_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f641,f655,f606]) ).

fof(f669,plain,
    ( sQ40_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f645,f650,f610]) ).

fof(f670,plain,
    ( sQ41_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f646,f650,f614]) ).

fof(f671,plain,
    ( sQ42_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f648,f655,f618]) ).

fof(f672,plain,
    ( sQ43_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f649,f655,f622]) ).

fof(f675,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | element_of_set(f11(X2,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(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f626,f276]) ).

fof(f676,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | element_of_set(f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0))))),union_of_members(top_of_basis(X0)))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f626,f281]) ).

fof(f677,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X5)
      | element_of_set(X2,union_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)],[f526,f403]) ).

fof(f678,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,union_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)],[f526,f402]) ).

fof(f679,definition,
    ! [X2,X3] :
      ( sQ46_spl
    <=> element_of_set(X2,union_of_members(top_of_basis(X3))) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f680,plain,
    ! [X0,X1] :
      ( ~ sQ46_spl
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f679]) ).

fof(f682,plain,
    ( sQ17_spl
    | sQ46_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f677,f555,f679,f452]) ).

fof(f683,plain,
    ( sQ7_spl
    | sQ46_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f678,f555,f679,f412]) ).

fof(f684,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,X2)
      | ~ element_of_collection(X2,X0)
      | 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)],[f528,f117]) ).

fof(f685,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(intersection_of_members(X0),X3)
      | element_of_set(X2,union_of_members(X3))
      | 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)],[f528,f115]) ).

fof(f686,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X3)
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f528,f115]) ).

fof(f687,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X5)
      | element_of_set(X2,union_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)],[f531,f403]) ).

fof(f688,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X4,X5)
      | element_of_set(X2,union_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)],[f531,f402]) ).

fof(f689,plain,
    ( sQ17_spl
    | sQ46_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f687,f650,f679,f452]) ).

fof(f690,plain,
    ( sQ7_spl
    | sQ46_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f688,f650,f679,f412]) ).

fof(f691,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(f1(X0,f11(X2,union_of_members(X0))),X3)
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X3))
      | 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)],[f396,f115]) ).

fof(f692,plain,
    ! [X0,X1] :
      ( ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),cx)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f239,f272]) ).

fof(f693,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(X4)),top_of_basis(X5))
      | ~ 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(resolution,[status(thm)],[f239,f402]) ).

fof(f694,definition,
    ! [X0,X1,X2,X3] :
      ( sQ47_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) ) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f697,plain,
    ( sQ10_spl
    | sQ47_spl ),
    inference(split_clause,[status(thm)],[f693,f694,f423]) ).

fof(f698,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)],[f520,f272]) ).

fof(f699,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(top_of_basis(X5)),top_of_basis(X6))
      | 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)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f520,f402]) ).

fof(f700,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ48_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)
        | ~ subset_sets(X1,X2)
        | limit_point(X0,X1,X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f703,plain,
    ( sQ10_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f699,f700,f423]) ).

fof(f704,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)],[f385,f113]) ).

fof(f705,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)],[f385,f112]) ).

fof(f706,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(union_of_members(X0),X3)
      | element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),union_of_members(X3))
      | 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)],[f385,f115]) ).

fof(f707,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)],[f698,f273]) ).

fof(f708,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X4))
      | 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)],[f698,f403]) ).

fof(f709,definition,
    ! [X0,X1,X2] :
      ( sQ49_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) ) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f712,plain,
    ( sQ10_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f708,f709,f423]) ).

fof(f713,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X3)
      | element_of_set(f11(X2,f2(X0,X1)),union_of_members(X3))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f495,f115]) ).

fof(f714,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(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(resolution,[status(thm)],[f691,f277]) ).

fof(f715,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)],[f714]) ).

fof(f716,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | 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)],[f704,f530]) ).

fof(f717,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))
      | element_of_set(f11(X3,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | 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)],[f704,f525]) ).

fof(f718,plain,
    ! [X0,X1,X2,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(intersection_of_members(X0),top_of_basis(X3))
      | 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)],[f704,f276]) ).

fof(f719,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),top_of_basis(X3))
      | 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)],[f704,f281]) ).

fof(f720,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)],[f284,f218]) ).

fof(f721,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)],[f284,f217]) ).

fof(f722,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)],[f284,f216]) ).

fof(f728,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ element_of_collection(closure(a,cx,ct),X1)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f513,f115]) ).

fof(f729,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | topological_space(cx,ct)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f728,f280]) ).

fof(f730,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | subset_sets(a,cx)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f728,f279]) ).

fof(f731,plain,
    ( ~ sQ24_spl
    | sQ25_spl
    | sQ46_spl ),
    inference(split_clause,[status(thm)],[f729,f679,f515,f512]) ).

fof(f732,definition,
    ( sQ50_spl
  <=> subset_sets(a,cx) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f735,plain,
    ( ~ sQ24_spl
    | sQ50_spl
    | sQ46_spl ),
    inference(split_clause,[status(thm)],[f730,f679,f732,f512]) ).

fof(f736,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | eq_p(X4,X0)
      | ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f209,f413]) ).

fof(f738,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f239,f413]) ).

fof(f740,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f207,f413]) ).

fof(f741,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f190,f413]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f243,f413]) ).

fof(f743,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f262,f413]) ).

fof(f744,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f220,f413]) ).

fof(f745,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f219,f413]) ).

fof(f747,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f123,f413]) ).

fof(f748,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_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)],[f698,f453]) ).

fof(f749,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | closed(f14(X1,cx,ct,X0),cx,ct)
      | element_of_set(X0,closure(X1,cx,ct)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f472,f453]) ).

fof(f750,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f465,f453]) ).

fof(f752,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X0,X2)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f117,f747]) ).

fof(f753,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f115,f747]) ).

fof(f755,plain,
    ! [X0,X1] :
      ( ~ sQ46_spl
      | element_of_set(X0,f1(top_of_basis(X1),X0)) ),
    inference(resolution,[status(thm)],[f680,f112]) ).

fof(f757,plain,
    ! [X0,X1] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f753,f680]) ).

fof(f758,plain,
    ! [X0,X1] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X0,f1(X1,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f112,f757]) ).

fof(f759,plain,
    ! [X0,X1] :
      ( ~ sQ7_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)],[f159,f761]) ).

fof(f760,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f7(X0,X1),X0)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f156,f761]) ).

fof(f761,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f120,f413]) ).

fof(f762,plain,
    ! [X0] :
      ( limit_point(X0,a,cx,ct)
      | element_of_set(X0,f16(X0,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f198,f497]) ).

fof(f763,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | element_of_set(X0,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f750,f198]) ).

fof(f764,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f20(cx,X0),X1),f18(cx,ct,f20(cx,X0),X1))
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f720]) ).

fof(f765,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f20(cx,X0),X1),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f722]) ).

fof(f766,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f20(cx,X0),X1),X1,cx,ct)
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f721]) ).

fof(f767,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f20(intersection_of_members(X0),X1),X2)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f744,f752]) ).

fof(f768,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f19(cx,X0),X1),f18(cx,ct,f19(cx,X0),X1))
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f720]) ).

fof(f769,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f19(cx,X0),X1),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f722]) ).

fof(f770,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f19(cx,X0),X1),X1,cx,ct)
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f721]) ).

fof(f771,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f19(intersection_of_members(X0),X1),X2)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f745,f752]) ).

fof(f772,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f7(cx,X0),X1),f18(cx,ct,f7(cx,X0),X1))
      | eq_p(f7(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f760,f720]) ).

fof(f773,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f7(cx,X0),X1),f7(cx,X0),cx,ct)
      | eq_p(f7(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f760,f722]) ).

fof(f774,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f7(cx,X0),X1),X1,cx,ct)
      | eq_p(f7(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f760,f721]) ).

fof(f775,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f7(intersection_of_members(X0),X1),X2)
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f760,f752]) ).

fof(f776,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_collections(f24(X0,X1),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f743,f253]) ).

fof(f777,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),X2),f18(cx,ct,f20(intersection_of_members(X0),X1),X2))
      | eq_p(f20(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f767,f720]) ).

fof(f778,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f20(intersection_of_members(X0),X1),X2),f20(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f767,f722]) ).

fof(f779,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),X2),X2,cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f767,f721]) ).

fof(f782,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),X2),f18(cx,ct,f19(intersection_of_members(X0),X1),X2))
      | eq_p(f19(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f771,f720]) ).

fof(f783,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f19(intersection_of_members(X0),X1),X2),f19(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f771,f722]) ).

fof(f784,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),X2),X2,cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f771,f721]) ).

fof(f787,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f7(intersection_of_members(X0),X1),X2),f18(cx,ct,f7(intersection_of_members(X0),X1),X2))
      | eq_p(f7(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f775,f720]) ).

fof(f788,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f7(intersection_of_members(X0),X1),X2),f7(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f7(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f775,f722]) ).

fof(f789,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f7(intersection_of_members(X0),X1),X2),X2,cx,ct)
      | eq_p(f7(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f775,f721]) ).

fof(f792,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | disjoint_s(f21(X0,X1),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f742,f237]) ).

fof(f793,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f740,f453]) ).

fof(f794,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f793,f198]) ).

fof(f796,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_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)],[f736,f453]) ).

fof(f799,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(intersection_of_members(X4),X5),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f796,f771]) ).

fof(f800,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_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)],[f796,f745]) ).

fof(f801,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(intersection_of_members(X4),X5),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f796,f767]) ).

fof(f802,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_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)],[f796,f744]) ).

fof(f803,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f738,f747]) ).

fof(f804,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f803,f747]) ).

fof(f805,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X1),X2)
      | neighborhood(f18(cx,ct,f20(cx,X0),f7(intersection_of_members(X1),X2)),f7(intersection_of_members(X1),X2),cx,ct)
      | eq_p(f20(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f775]) ).

fof(f806,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | neighborhood(f18(cx,ct,f20(cx,X0),f7(cx,X1)),f7(cx,X1),cx,ct)
      | eq_p(f20(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f760]) ).

fof(f808,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f20(cx,X0),f19(cx,X1)),f19(cx,X1),cx,ct)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f745]) ).

fof(f810,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X1),cx,ct)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f744]) ).

fof(f811,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X1),X2)
      | neighborhood(f18(cx,ct,f19(cx,X0),f7(intersection_of_members(X1),X2)),f7(intersection_of_members(X1),X2),cx,ct)
      | eq_p(f19(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f775]) ).

fof(f812,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | neighborhood(f18(cx,ct,f19(cx,X0),f7(cx,X1)),f7(cx,X1),cx,ct)
      | eq_p(f19(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f760]) ).

fof(f814,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X1),cx,ct)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f745]) ).

fof(f816,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f19(cx,X0),f20(cx,X1)),f20(cx,X1),cx,ct)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f744]) ).

fof(f819,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f18(cx,ct,f7(cx,X0),f19(intersection_of_members(X1),X2)),f19(intersection_of_members(X1),X2),cx,ct)
      | eq_p(f7(cx,X0),f19(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f774,f771]) ).

fof(f821,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f18(cx,ct,f7(cx,X0),f20(intersection_of_members(X1),X2)),f20(intersection_of_members(X1),X2),cx,ct)
      | eq_p(f7(cx,X0),f20(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f774,f767]) ).

fof(f823,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X2),X3)
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)),f7(intersection_of_members(X2),X3),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f779,f775]) ).

fof(f824,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X2)
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),f7(cx,X2)),f7(cx,X2),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f779,f760]) ).

fof(f826,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f779,f745]) ).

fof(f828,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f779,f744]) ).

fof(f829,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X2),X3)
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)),f7(intersection_of_members(X2),X3),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f784,f775]) ).

fof(f830,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X2)
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),f7(cx,X2)),f7(cx,X2),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f784,f760]) ).

fof(f832,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f784,f745]) ).

fof(f834,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f784,f744]) ).

fof(f837,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | neighborhood(f18(cx,ct,f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f19(intersection_of_members(X2),X3),cx,ct)
      | eq_p(f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f789,f771]) ).

fof(f839,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | neighborhood(f18(cx,ct,f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f20(intersection_of_members(X2),X3),cx,ct)
      | eq_p(f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f789,f767]) ).

fof(f841,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f20(cx,X0),f7(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f7(intersection_of_members(X1),X2)))
      | eq_p(f20(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f764,f775]) ).

fof(f842,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | disjoint_s(f17(cx,ct,f20(cx,X0),f7(cx,X1)),f18(cx,ct,f20(cx,X0),f7(cx,X1)))
      | eq_p(f20(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f764,f760]) ).

fof(f843,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)))
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f764,f771]) ).

fof(f844,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | disjoint_s(f17(cx,ct,f20(cx,X0),f19(cx,X1)),f18(cx,ct,f20(cx,X0),f19(cx,X1)))
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f764,f745]) ).

fof(f845,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)))
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f764,f767]) ).

fof(f846,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | disjoint_s(f17(cx,ct,f20(cx,X0),f20(cx,X1)),f18(cx,ct,f20(cx,X0),f20(cx,X1)))
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f764,f744]) ).

fof(f847,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f20(cx,X0),f7(intersection_of_members(X1),X2)),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f765,f775]) ).

fof(f848,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | neighborhood(f17(cx,ct,f20(cx,X0),f7(cx,X1)),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f765,f760]) ).

fof(f849,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f765,f771]) ).

fof(f850,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f17(cx,ct,f20(cx,X0),f19(cx,X1)),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f765,f745]) ).

fof(f851,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f765,f767]) ).

fof(f852,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f17(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f765,f744]) ).

fof(f853,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f19(cx,X0),f7(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f7(intersection_of_members(X1),X2)))
      | eq_p(f19(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f768,f775]) ).

fof(f854,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | disjoint_s(f17(cx,ct,f19(cx,X0),f7(cx,X1)),f18(cx,ct,f19(cx,X0),f7(cx,X1)))
      | eq_p(f19(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f768,f760]) ).

fof(f855,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)))
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f768,f771]) ).

fof(f856,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | disjoint_s(f17(cx,ct,f19(cx,X0),f19(cx,X1)),f18(cx,ct,f19(cx,X0),f19(cx,X1)))
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f768,f745]) ).

fof(f857,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)))
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f768,f767]) ).

fof(f858,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | disjoint_s(f17(cx,ct,f19(cx,X0),f20(cx,X1)),f18(cx,ct,f19(cx,X0),f20(cx,X1)))
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f768,f744]) ).

fof(f859,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f19(cx,X0),f7(intersection_of_members(X1),X2)),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f769,f775]) ).

fof(f860,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | neighborhood(f17(cx,ct,f19(cx,X0),f7(cx,X1)),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f769,f760]) ).

fof(f861,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f769,f771]) ).

fof(f862,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f17(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f769,f745]) ).

fof(f863,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f769,f767]) ).

fof(f864,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f17(cx,ct,f19(cx,X0),f20(cx,X1)),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f769,f744]) ).

fof(f867,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f7(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f7(cx,X0),f19(intersection_of_members(X1),X2)))
      | eq_p(f7(cx,X0),f19(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f772,f771]) ).

fof(f869,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | disjoint_s(f17(cx,ct,f7(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f7(cx,X0),f20(intersection_of_members(X1),X2)))
      | eq_p(f7(cx,X0),f20(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f772,f767]) ).

fof(f873,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f7(cx,X0),f19(intersection_of_members(X1),X2)),f7(cx,X0),cx,ct)
      | eq_p(f7(cx,X0),f19(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f773,f771]) ).

fof(f875,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f17(cx,ct,f7(cx,X0),f20(intersection_of_members(X1),X2)),f7(cx,X0),cx,ct)
      | eq_p(f7(cx,X0),f20(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f773,f767]) ).

fof(f877,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)))
      | eq_p(f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f777,f775]) ).

fof(f878,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X2)
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),f7(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f7(cx,X2)))
      | eq_p(f20(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f777,f760]) ).

fof(f879,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)))
      | eq_p(f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f777,f771]) ).

fof(f880,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)))
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f777,f745]) ).

fof(f881,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)))
      | eq_p(f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f777,f767]) ).

fof(f882,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)))
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f777,f744]) ).

fof(f883,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X2),X3)
      | neighborhood(f17(cx,ct,f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)),f20(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f778,f775]) ).

fof(f884,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X2)
      | neighborhood(f17(cx,ct,f20(intersection_of_members(X0),X1),f7(cx,X2)),f20(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f20(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f778,f760]) ).

fof(f889,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X2),X3)
      | neighborhood(f17(cx,ct,f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)),f19(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f783,f775]) ).

fof(f890,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X2)
      | neighborhood(f17(cx,ct,f19(intersection_of_members(X0),X1),f7(cx,X2)),f19(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f19(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f783,f760]) ).

fof(f897,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | neighborhood(f17(cx,ct,f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f7(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f788,f771]) ).

fof(f899,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | neighborhood(f17(cx,ct,f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f7(intersection_of_members(X0),X1),cx,ct)
      | eq_p(f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f788,f767]) ).

fof(f901,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)),f18(cx,ct,f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3)))
      | eq_p(f19(intersection_of_members(X0),X1),f7(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f782,f775]) ).

fof(f902,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X2)
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),f7(cx,X2)),f18(cx,ct,f19(intersection_of_members(X0),X1),f7(cx,X2)))
      | eq_p(f19(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f782,f760]) ).

fof(f903,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)))
      | eq_p(f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f782,f771]) ).

fof(f904,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)))
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f782,f745]) ).

fof(f905,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f18(cx,ct,f19(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)))
      | eq_p(f19(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f782,f767]) ).

fof(f906,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)),f18(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)))
      | eq_p(f19(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f782,f744]) ).

fof(f909,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)))
      | eq_p(f7(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f787,f771]) ).

fof(f911,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | disjoint_s(f17(cx,ct,f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f18(cx,ct,f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)))
      | eq_p(f7(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f787,f767]) ).

fof(f913,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f7(cx,X1),f18(cx,ct,f20(cx,X0),f7(cx,X1)))
      | basis(cx,X1)
      | eq_p(f20(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f806,f198]) ).

fof(f914,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X1),f18(cx,ct,f20(cx,X0),f19(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f808,f198]) ).

fof(f915,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X1),f18(cx,ct,f20(cx,X0),f20(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f810,f198]) ).

fof(f916,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f7(cx,X1),f18(cx,ct,f19(cx,X0),f7(cx,X1)))
      | basis(cx,X1)
      | eq_p(f19(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f812,f198]) ).

fof(f917,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X1),f18(cx,ct,f19(cx,X0),f19(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f814,f198]) ).

fof(f918,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X1),f18(cx,ct,f19(cx,X0),f20(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f816,f198]) ).

fof(f922,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f17(cx,ct,f20(cx,X0),f7(cx,X1)))
      | basis(cx,X1)
      | eq_p(f20(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f848,f198]) ).

fof(f923,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f17(cx,ct,f20(cx,X0),f19(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f850,f198]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f17(cx,ct,f20(cx,X0),f20(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f852,f198]) ).

fof(f925,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f17(cx,ct,f19(cx,X0),f7(cx,X1)))
      | basis(cx,X1)
      | eq_p(f19(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f860,f198]) ).

fof(f926,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f17(cx,ct,f19(cx,X0),f19(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f862,f198]) ).

fof(f927,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f17(cx,ct,f19(cx,X0),f20(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f864,f198]) ).

fof(f965,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | connected_space(X0,X1)
      | ~ equal_sets(f21(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f227,f742]) ).

fof(f966,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_collection(X0,X2)
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f139,f413]) ).

fof(f967,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f966,f747]) ).

fof(f968,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | connected_space(X0,X1)
      | ~ equal_sets(f22(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f229,f742]) ).

fof(f969,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ open(relative_complement_sets(X0,X1),X1,X2)
      | closed(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f143,f413]) ).

fof(f970,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | closed(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f969,f967]) ).

fof(f971,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | connected_space(X0,X1)
      | equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0) ),
    inference(resolution,[status(thm)],[f235,f742]) ).

fof(f972,plain,
    connected_space(a,subspace_topology(cx,ct,a)),
    inference(resolution,[status(thm)],[f248,f270]) ).

fof(f974,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(f7(boundary(X0,X1,X2),X3),closure(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f212,f760]) ).

fof(f976,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f212,f745]) ).

fof(f978,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f212,f744]) ).

fof(f980,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X1)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f151,f413]) ).

fof(f981,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_collections(X1,X0)
      | finer(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f980,f413]) ).

fof(f982,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | compact_space(X1,X0)
      | finer(X0,f24(X1,X0),X2) ),
    inference(resolution,[status(thm)],[f981,f776]) ).

fof(f984,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | element_of_set(f7(interior(X0,X1,X2),X3),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f179,f760]) ).

fof(f986,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),f13(X0,X1,X2,f19(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f179,f745]) ).

fof(f988,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f179,f744]) ).

fof(f989,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,f6(X0,X1,X2,X4,X3))
      | ~ element_of_set(X2,intersection_of_sets(X4,X3))
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f153,f747]) ).

fof(f991,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f7(cx,X2),f18(cx,ct,f20(intersection_of_members(X0),X1),f7(cx,X2)))
      | basis(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f824,f198]) ).

fof(f993,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X2),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f826,f198]) ).

fof(f995,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ 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)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f971,f804]) ).

fof(f996,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | equal_sets(f22(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f995,f965]) ).

fof(f997,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f996,f968]) ).

fof(f998,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | connected_space(X0,X1)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f997,f792]) ).

fof(f999,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f998]) ).

fof(f1003,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f999,f242]) ).

fof(f1007,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X2),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f828,f198]) ).

fof(f1008,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f7(cx,X2),f18(cx,ct,f19(intersection_of_members(X0),X1),f7(cx,X2)))
      | basis(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f7(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f830,f198]) ).

fof(f1012,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X2),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f832,f198]) ).

fof(f1014,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X2),f18(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f834,f198]) ).

fof(f1019,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f17(cx,ct,f20(cx,X0),f7(intersection_of_members(X1),X2)))
      | basis(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f847,f198]) ).

fof(f1020,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f849,f198]) ).

fof(f1021,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f851,f198]) ).

fof(f1022,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f17(cx,ct,f19(cx,X0),f7(intersection_of_members(X1),X2)))
      | basis(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f7(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f859,f198]) ).

fof(f1023,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f861,f198]) ).

fof(f1024,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f863,f198]) ).

fof(f1026,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f7(cx,X0),f17(cx,ct,f7(cx,X0),f19(intersection_of_members(X1),X2)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f7(cx,X0),f19(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f873,f198]) ).

fof(f1027,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f7(cx,X0),f17(cx,ct,f7(cx,X0),f20(intersection_of_members(X1),X2)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f7(cx,X0),f20(intersection_of_members(X1),X2))
      | basis(cx,X0) ),
    inference(resolution,[status(thm)],[f875,f198]) ).

fof(f1042,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | connected_space(a,X0) ),
    inference(resolution,[status(thm)],[f1003,f972]) ).

fof(f1043,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sQ7_spl
      | connected_space(cx,X0) ),
    inference(resolution,[status(thm)],[f1003,f379]) ).

fof(f1046,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_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)],[f160,f761]) ).

fof(f1047,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ7_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f1046,f453]) ).

fof(f1048,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ7_spl
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1047,f747]) ).

fof(f1064,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f759,f1048]) ).

fof(f1069,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(X1,X3,X0,X4,X2))
      | ~ element_of_set(X0,intersection_of_sets(X4,X2))
      | ~ element_of_collection(X2,X3)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f989,f1064]) ).

fof(f1070,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(X1,X4,X0,X2,X3))
      | ~ element_of_set(X0,intersection_of_sets(X2,X3))
      | ~ element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1069,f747]) ).

fof(f1071,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),f6(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X6,f19(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f19(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5)) ),
    inference(resolution,[status(thm)],[f1070,f986]) ).

fof(f1073,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X3),X4)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X3),X4))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f6(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X3),X4)),X5,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1024]) ).

fof(f1074,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X3)
      | eq_p(f19(cx,X0),f20(cx,X3))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f6(f17(cx,ct,f19(cx,X0),f20(cx,X3)),X4,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f927]) ).

fof(f1075,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X3),X4)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X3),X4))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f6(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X3),X4)),X5,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1023]) ).

fof(f1076,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X3)
      | eq_p(f19(cx,X0),f19(cx,X3))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f6(f17(cx,ct,f19(cx,X0),f19(cx,X3)),X4,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f926]) ).

fof(f1077,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X3),X4),f19(cx,X0))
      | hausdorff(intersection_of_members(X3),X4)
      | element_of_set(f19(cx,X0),f6(f18(cx,ct,f19(intersection_of_members(X3),X4),f19(cx,X0)),X5,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1012]) ).

fof(f1078,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X3),f19(cx,X0))
      | hausdorff(cx,X3)
      | element_of_set(f19(cx,X0),f6(f18(cx,ct,f19(cx,X3),f19(cx,X0)),X4,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f917]) ).

fof(f1079,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X3),X4),f19(cx,X0))
      | hausdorff(intersection_of_members(X3),X4)
      | element_of_set(f19(cx,X0),f6(f18(cx,ct,f20(intersection_of_members(X3),X4),f19(cx,X0)),X5,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f993]) ).

fof(f1080,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X3),f19(cx,X0))
      | hausdorff(cx,X3)
      | element_of_set(f19(cx,X0),f6(f18(cx,ct,f20(cx,X3),f19(cx,X0)),X4,f19(cx,X0),X1,X2))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f914]) ).

fof(f1082,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),f6(X0,X4,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3)) ),
    inference(resolution,[status(thm)],[f1070,f745]) ).

fof(f1083,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),f6(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X6,f20(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f20(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5)) ),
    inference(resolution,[status(thm)],[f1070,f988]) ).

fof(f1085,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X3),X4)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X3),X4))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f6(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X3),X4)),X5,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1021]) ).

fof(f1086,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X3)
      | eq_p(f20(cx,X0),f20(cx,X3))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f6(f17(cx,ct,f20(cx,X0),f20(cx,X3)),X4,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f924]) ).

fof(f1087,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X3),X4)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X3),X4))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f6(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X3),X4)),X5,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1020]) ).

fof(f1088,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X3)
      | eq_p(f20(cx,X0),f19(cx,X3))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f6(f17(cx,ct,f20(cx,X0),f19(cx,X3)),X4,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f923]) ).

fof(f1089,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X3),X4),f20(cx,X0))
      | hausdorff(intersection_of_members(X3),X4)
      | element_of_set(f20(cx,X0),f6(f18(cx,ct,f19(intersection_of_members(X3),X4),f20(cx,X0)),X5,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1014]) ).

fof(f1090,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X3),f20(cx,X0))
      | hausdorff(cx,X3)
      | element_of_set(f20(cx,X0),f6(f18(cx,ct,f19(cx,X3),f20(cx,X0)),X4,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f918]) ).

fof(f1091,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X3),X4),f20(cx,X0))
      | hausdorff(intersection_of_members(X3),X4)
      | element_of_set(f20(cx,X0),f6(f18(cx,ct,f20(intersection_of_members(X3),X4),f20(cx,X0)),X5,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f1007]) ).

fof(f1092,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X3),f20(cx,X0))
      | hausdorff(cx,X3)
      | element_of_set(f20(cx,X0),f6(f18(cx,ct,f20(cx,X3),f20(cx,X0)),X4,f20(cx,X0),X1,X2))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f915]) ).

fof(f1094,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),f6(X0,X4,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3)) ),
    inference(resolution,[status(thm)],[f1070,f744]) ).

fof(f1095,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X3,X4,X5)
      | element_of_set(X0,f6(f16(X0,X3,X4,X5),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f794]) ).

fof(f1096,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f1(X3,X0),X4,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f758]) ).

fof(f1097,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(union_of_members(X3),X4,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1070,f757]) ).

fof(f1099,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f1(X3,f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1096,f745]) ).

fof(f1101,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f1(X3,f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1096,f744]) ).

fof(f1103,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,X1,X0))
      | ~ element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f747]) ).

fof(f1104,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),f10(X4,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f986]) ).

fof(f1105,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f19(boundary(X0,X1,X2),X3),f10(X4,closure(X0,X1,X2),f19(boundary(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f976]) ).

fof(f1106,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X2),X3))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f10(X1,f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X2),X3)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1024]) ).

fof(f1107,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X0),f20(cx,X2))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f10(X1,f17(cx,ct,f19(cx,X0),f20(cx,X2)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f927]) ).

fof(f1108,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X2),X3))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f10(X1,f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X2),X3)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1023]) ).

fof(f1109,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X0),f19(cx,X2))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),f10(X1,f17(cx,ct,f19(cx,X0),f19(cx,X2)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f926]) ).

fof(f1110,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X2),X3),f19(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | element_of_set(f19(cx,X0),f10(X1,f18(cx,ct,f19(intersection_of_members(X2),X3),f19(cx,X0)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1012]) ).

fof(f1111,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X2),f19(cx,X0))
      | hausdorff(cx,X2)
      | element_of_set(f19(cx,X0),f10(X1,f18(cx,ct,f19(cx,X2),f19(cx,X0)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f917]) ).

fof(f1112,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X2),X3),f19(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | element_of_set(f19(cx,X0),f10(X1,f18(cx,ct,f20(intersection_of_members(X2),X3),f19(cx,X0)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f993]) ).

fof(f1113,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X2),f19(cx,X0))
      | hausdorff(cx,X2)
      | element_of_set(f19(cx,X0),f10(X1,f18(cx,ct,f20(cx,X2),f19(cx,X0)),f19(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f914]) ).

fof(f1115,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),f10(X2,X0,f19(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f745]) ).

fof(f1116,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),f10(X4,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f988]) ).

fof(f1117,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f20(boundary(X0,X1,X2),X3),f10(X4,closure(X0,X1,X2),f20(boundary(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f978]) ).

fof(f1118,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X2),X3))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f10(X1,f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X2),X3)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1021]) ).

fof(f1119,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(cx,X0),f20(cx,X2))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f10(X1,f17(cx,ct,f20(cx,X0),f20(cx,X2)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f924]) ).

fof(f1120,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X2),X3))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f10(X1,f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X2),X3)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1020]) ).

fof(f1121,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(cx,X0),f19(cx,X2))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),f10(X1,f17(cx,ct,f20(cx,X0),f19(cx,X2)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f923]) ).

fof(f1122,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X2),X3),f20(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | element_of_set(f20(cx,X0),f10(X1,f18(cx,ct,f19(intersection_of_members(X2),X3),f20(cx,X0)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1014]) ).

fof(f1123,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X2),f20(cx,X0))
      | hausdorff(cx,X2)
      | element_of_set(f20(cx,X0),f10(X1,f18(cx,ct,f19(cx,X2),f20(cx,X0)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f918]) ).

fof(f1124,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X2),X3),f20(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | element_of_set(f20(cx,X0),f10(X1,f18(cx,ct,f20(intersection_of_members(X2),X3),f20(cx,X0)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f1007]) ).

fof(f1125,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X2),f20(cx,X0))
      | hausdorff(cx,X2)
      | element_of_set(f20(cx,X0),f10(X1,f18(cx,ct,f20(cx,X2),f20(cx,X0)),f20(cx,X0))) ),
    inference(resolution,[status(thm)],[f1103,f915]) ).

fof(f1127,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),f10(X2,X0,f20(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f744]) ).

fof(f1128,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,f10(X1,f16(X0,X2,X3,X4),X0)) ),
    inference(resolution,[status(thm)],[f1103,f794]) ).

fof(f1129,plain,
    ! [X0,X1,X2] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X0,f10(X1,f1(X2,X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f758]) ).

fof(f1130,plain,
    ! [X0,X1,X2] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X0,f10(X1,union_of_members(X2),X0)) ),
    inference(resolution,[status(thm)],[f1103,f757]) ).

fof(f1131,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,union_of_members(X3),X0),X0)) ),
    inference(resolution,[status(thm)],[f1130,f1103]) ).

fof(f1132,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,union_of_members(X4),X0),X5,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1130,f1070]) ).

fof(f1133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f1(X3,X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1129,f1103]) ).

fof(f1134,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f1(X4,X0),X0),X5,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1129,f1070]) ).

fof(f1135,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,union_of_members(X4),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1131,f1103]) ).

fof(f1136,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,union_of_members(X5),X0),X0),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1131,f1070]) ).

fof(f1137,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f1(X4,X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1133,f1103]) ).

fof(f1138,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f1(X5,X0),X0),X0),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1133,f1070]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ eq_p(f19(X0,X1),f20(X0,X1))
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f221,f413]) ).

fof(f1140,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | limit_point(f20(intersection_of_members(X0),X1),X2,X3,X4)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1139,f799]) ).

fof(f1141,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(intersection_of_members(X0),X1),X2,X3,X4)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f1140]) ).

fof(f1143,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1135,f1103]) ).

fof(f1144,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1135,f1070]) ).

fof(f1145,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | equal_sets(X0,intersection_of_sets(X1,f12(X2,X3,X1,X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f172,f747]) ).

fof(f1146,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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(resolution,[status(thm)],[f1145,f804]) ).

fof(f1147,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f10(X2,f10(X3,f17(cx,ct,f19(cx,X0),f20(cx,X1)),f19(cx,X0)),f19(cx,X0)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1107,f1103]) ).

fof(f1148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f6(f10(X4,f17(cx,ct,f19(cx,X0),f20(cx,X1)),f19(cx,X0)),X5,f19(cx,X0),X2,X3))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1107,f1070]) ).

fof(f1149,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f10(X2,f10(X3,f17(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X0)),f19(cx,X0)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1109,f1103]) ).

fof(f1150,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f6(f10(X4,f17(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X0)),X5,f19(cx,X0),X2,X3))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1109,f1070]) ).

fof(f1151,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X1),f10(X2,f10(X3,f18(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X1)),f19(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1111,f1103]) ).

fof(f1152,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X1),f6(f10(X4,f18(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X1)),X5,f19(cx,X1),X2,X3))
      | ~ element_of_set(f19(cx,X1),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1111,f1070]) ).

fof(f1153,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X1),f10(X2,f10(X3,f18(cx,ct,f20(cx,X0),f19(cx,X1)),f19(cx,X1)),f19(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1113,f1103]) ).

fof(f1154,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X1),f6(f10(X4,f18(cx,ct,f20(cx,X0),f19(cx,X1)),f19(cx,X1)),X5,f19(cx,X1),X2,X3))
      | ~ element_of_set(f19(cx,X1),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1113,f1070]) ).

fof(f1155,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,X0,f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1115,f1103]) ).

fof(f1156,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(X0,X1),f6(f10(X4,X0,f19(X0,X1)),X5,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1115,f1070]) ).

fof(f1157,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,X0,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1127,f1103]) ).

fof(f1158,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(X0,X1),f6(f10(X4,X0,f20(X0,X1)),X5,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1127,f1070]) ).

fof(f1159,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1128,f1103]) ).

fof(f1160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f16(X0,X1,X2,X3),X0),X7,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1128,f1070]) ).

fof(f1161,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1159,f1103]) ).

fof(f1162,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X8,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1159,f1070]) ).

fof(f1163,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1155,f1103]) ).

fof(f1164,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(X0,X1),f6(f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),X6,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1155,f1070]) ).

fof(f1165,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1157,f1103]) ).

fof(f1166,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(X0,X1),f6(f10(X4,f10(X5,X0,f20(X0,X1)),f20(X0,X1)),X6,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1157,f1070]) ).

fof(f1167,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1161,f1103]) ).

fof(f1168,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X9,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1161,f1070]) ).

fof(f1170,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1095,f745]) ).

fof(f1172,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1095,f744]) ).

fof(f1174,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(intersection_of_sets(X0,X1),X3,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1082,f745]) ).

fof(f1176,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(intersection_of_sets(X0,X1),X3,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1174]) ).

fof(f1178,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(intersection_of_sets(X0,X1),X3,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1094,f744]) ).

fof(f1180,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(intersection_of_sets(X0,X1),X3,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1178]) ).

fof(f1181,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),empty_set)
      | equal_sets(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),empty_set)
      | separation(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2))))),X6) ),
    inference(resolution,[status(thm)],[f1146,f857]) ).

fof(f1182,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f19(cx,X0),f20(cx,X1)),empty_set)
      | equal_sets(f17(cx,ct,f19(cx,X0),f20(cx,X1)),empty_set)
      | separation(f17(cx,ct,f19(cx,X0),f20(cx,X1)),f18(cx,ct,f19(cx,X0),f20(cx,X1)),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f17(cx,ct,f19(cx,X0),f20(cx,X1)),f18(cx,ct,f19(cx,X0),f20(cx,X1))))),X5) ),
    inference(resolution,[status(thm)],[f1146,f858]) ).

fof(f1183,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),empty_set)
      | equal_sets(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),empty_set)
      | separation(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2))))),X6) ),
    inference(resolution,[status(thm)],[f1146,f855]) ).

fof(f1184,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f19(cx,X0),f19(cx,X1)),empty_set)
      | equal_sets(f17(cx,ct,f19(cx,X0),f19(cx,X1)),empty_set)
      | separation(f17(cx,ct,f19(cx,X0),f19(cx,X1)),f18(cx,ct,f19(cx,X0),f19(cx,X1)),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f17(cx,ct,f19(cx,X0),f19(cx,X1)),f18(cx,ct,f19(cx,X0),f19(cx,X1))))),X5) ),
    inference(resolution,[status(thm)],[f1146,f856]) ).

fof(f1185,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1)
      | equal_sets(f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),empty_set)
      | equal_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),empty_set)
      | separation(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2))))),X6) ),
    inference(resolution,[status(thm)],[f1146,f882]) ).

fof(f1186,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | equal_sets(f18(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),empty_set)
      | equal_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),empty_set)
      | separation(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),intersection_of_sets(X4,f12(X5,X6,X4,union_of_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))))),X7) ),
    inference(resolution,[status(thm)],[f1146,f881]) ).

fof(f1187,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1)
      | equal_sets(f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),empty_set)
      | equal_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),empty_set)
      | separation(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2))))),X6) ),
    inference(resolution,[status(thm)],[f1146,f880]) ).

fof(f1188,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | equal_sets(f18(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),empty_set)
      | equal_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),empty_set)
      | separation(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),intersection_of_sets(X4,f12(X5,X6,X4,union_of_sets(f17(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))))),X7) ),
    inference(resolution,[status(thm)],[f1146,f879]) ).

fof(f1189,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),empty_set)
      | equal_sets(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),empty_set)
      | separation(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2))))),X6) ),
    inference(resolution,[status(thm)],[f1146,f845]) ).

fof(f1190,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f20(cx,X0),f20(cx,X1)),empty_set)
      | equal_sets(f17(cx,ct,f20(cx,X0),f20(cx,X1)),empty_set)
      | separation(f17(cx,ct,f20(cx,X0),f20(cx,X1)),f18(cx,ct,f20(cx,X0),f20(cx,X1)),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f17(cx,ct,f20(cx,X0),f20(cx,X1)),f18(cx,ct,f20(cx,X0),f20(cx,X1))))),X5) ),
    inference(resolution,[status(thm)],[f1146,f846]) ).

fof(f1191,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),empty_set)
      | equal_sets(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),empty_set)
      | separation(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f18(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2))))),X6) ),
    inference(resolution,[status(thm)],[f1146,f843]) ).

fof(f1192,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0)
      | equal_sets(f18(cx,ct,f20(cx,X0),f19(cx,X1)),empty_set)
      | equal_sets(f17(cx,ct,f20(cx,X0),f19(cx,X1)),empty_set)
      | separation(f17(cx,ct,f20(cx,X0),f19(cx,X1)),f18(cx,ct,f20(cx,X0),f19(cx,X1)),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(f17(cx,ct,f20(cx,X0),f19(cx,X1)),f18(cx,ct,f20(cx,X0),f19(cx,X1))))),X5) ),
    inference(resolution,[status(thm)],[f1146,f844]) ).

fof(f1193,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1146,f792]) ).

fof(f1194,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1193,f965]) ).

fof(f1195,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1167,f1103]) ).

fof(f1196,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X10,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1167,f1070]) ).

fof(f1198,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X6,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1160,f745]) ).

fof(f1200,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X6,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1160,f744]) ).

fof(f1201,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1163,f1103]) ).

fof(f1202,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(X0,X1),f6(f10(X4,f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X7,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1163,f1070]) ).

fof(f1203,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1165,f1103]) ).

fof(f1204,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(X0,X1),f6(f10(X4,f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),X7,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1165,f1070]) ).

fof(f1205,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(intersection_of_sets(X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1176,f1103]) ).

fof(f1206,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(intersection_of_sets(X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1176,f1070]) ).

fof(f1207,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(intersection_of_sets(X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1180,f1103]) ).

fof(f1208,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(intersection_of_sets(X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1180,f1070]) ).

fof(f1209,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),f10(X4,f10(X5,closure(X0,X1,X2),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1105,f1103]) ).

fof(f1211,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),f10(X4,f10(X5,closure(X0,X1,X2),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1117,f1103]) ).

fof(f1213,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1195,f1103]) ).

fof(f1214,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X11,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1195,f1070]) ).

fof(f1216,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1162,f745]) ).

fof(f1218,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1162,f744]) ).

fof(f1220,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1156,f745]) ).

fof(f1222,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1220]) ).

fof(f1224,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1158,f744]) ).

fof(f1226,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1224]) ).

fof(f1227,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f1(X4,f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1099,f1103]) ).

fof(f1228,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f1(X5,f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1099,f1070]) ).

fof(f1229,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f1(X4,f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1101,f1103]) ).

fof(f1230,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f1(X5,f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1101,f1070]) ).

fof(f1231,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1201,f1103]) ).

fof(f1232,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(X0,X1),f6(f10(X4,f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X8,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1201,f1070]) ).

fof(f1233,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1203,f1103]) ).

fof(f1234,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(X0,X1),f6(f10(X4,f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),X8,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1203,f1070]) ).

fof(f1235,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1213,f1103]) ).

fof(f1236,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X12,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1213,f1070]) ).

fof(f1238,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X9,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1168,f745]) ).

fof(f1240,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X9,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1168,f744]) ).

fof(f1241,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1194,f968]) ).

fof(f1245,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1241,f242]) ).

fof(f1247,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f10(X4,f10(X5,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1104,f1103]) ).

fof(f1248,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f6(f10(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X7,f19(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f19(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1104,f1070]) ).

fof(f1249,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f10(X4,f10(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1116,f1103]) ).

fof(f1250,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f6(f10(X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X7,f20(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f20(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1116,f1070]) ).

fof(f1252,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1164,f745]) ).

fof(f1254,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1252]) ).

fof(f1256,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1166,f744]) ).

fof(f1258,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1256]) ).

fof(f1259,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f6(intersection_of_sets(X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1205,f1103]) ).

fof(f1260,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X5,f6(intersection_of_sets(X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1205,f1070]) ).

fof(f1261,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f6(intersection_of_sets(X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1207,f1103]) ).

fof(f1262,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X5,f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1207,f1070]) ).

fof(f1263,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1222,f1103]) ).

fof(f1264,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1222,f1070]) ).

fof(f1265,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1226,f1103]) ).

fof(f1266,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1226,f1070]) ).

fof(f1267,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1235,f1103]) ).

fof(f1268,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X13,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1235,f1070]) ).

fof(f1270,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f10(X9,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X10,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1196,f745]) ).

fof(f1272,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f10(X9,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X10,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1196,f744]) ).

fof(f1273,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,closure(X0,X1,X2),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1209,f1103]) ).

fof(f1275,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,closure(X0,X1,X2),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1211,f1103]) ).

fof(f1277,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1231,f1103]) ).

fof(f1278,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(X0,X1),f6(f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X9,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1231,f1070]) ).

fof(f1279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1233,f1103]) ).

fof(f1280,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(X0,X1),f6(f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),X9,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1233,f1070]) ).

fof(f1281,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1267,f1103]) ).

fof(f1282,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0),X14,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1267,f1070]) ).

fof(f1284,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1214,f745]) ).

fof(f1286,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1214,f744]) ).

fof(f1287,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f6(f1(X5,f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1227,f1103]) ).

fof(f1288,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X5,f6(f1(X6,f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1227,f1070]) ).

fof(f1289,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f6(f1(X5,f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1229,f1103]) ).

fof(f1290,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X5,f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1229,f1070]) ).

fof(f1292,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1202,f745]) ).

fof(f1294,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1292]) ).

fof(f1296,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1204,f744]) ).

fof(f1298,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1296]) ).

fof(f1299,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1281,f1103]) ).

fof(f1300,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0),X0),X15,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1281,f1070]) ).

fof(f1301,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X6,f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1170,f1103]) ).

fof(f1302,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),X9,f19(intersection_of_sets(X0,X1),X2),X6,X7))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1170,f1070]) ).

fof(f1303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X6,f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1172,f1103]) ).

fof(f1304,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1),X9,f20(intersection_of_sets(X0,X1),X2),X6,X7))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1172,f1070]) ).

fof(f1306,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1236,f745]) ).

fof(f1308,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X12,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1236,f744]) ).

fof(f1309,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,f10(X5,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1254,f1103]) ).

fof(f1310,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,f10(X6,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X8,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1254,f1070]) ).

fof(f1311,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,f10(X5,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1258,f1103]) ).

fof(f1312,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,f10(X6,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X8,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1258,f1070]) ).

fof(f1313,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f10(X5,f6(intersection_of_sets(X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1259,f1103]) ).

fof(f1314,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X5,f10(X6,f6(intersection_of_sets(X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1259,f1070]) ).

fof(f1315,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f10(X5,f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1261,f1103]) ).

fof(f1316,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X5,f10(X6,f6(intersection_of_sets(X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1261,f1070]) ).

fof(f1317,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f6(f10(X5,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1263,f1103]) ).

fof(f1318,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X5,f6(f10(X6,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1263,f1070]) ).

fof(f1319,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f6(f10(X5,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1265,f1103]) ).

fof(f1320,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X5,f6(f10(X6,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1265,f1070]) ).

fof(f1321,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f10(X2,f10(X3,f17(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X0)),f20(cx,X0)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1119,f1103]) ).

fof(f1322,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f6(f10(X4,f17(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X0)),X5,f20(cx,X0),X2,X3))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1119,f1070]) ).

fof(f1323,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f10(X2,f10(X3,f17(cx,ct,f20(cx,X0),f19(cx,X1)),f20(cx,X0)),f20(cx,X0)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1121,f1103]) ).

fof(f1324,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f6(f10(X4,f17(cx,ct,f20(cx,X0),f19(cx,X1)),f20(cx,X0)),X5,f20(cx,X0),X2,X3))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1121,f1070]) ).

fof(f1325,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X1),f10(X2,f10(X3,f18(cx,ct,f19(cx,X0),f20(cx,X1)),f20(cx,X1)),f20(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1123,f1103]) ).

fof(f1326,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X1),f6(f10(X4,f18(cx,ct,f19(cx,X0),f20(cx,X1)),f20(cx,X1)),X5,f20(cx,X1),X2,X3))
      | ~ element_of_set(f20(cx,X1),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1123,f1070]) ).

fof(f1327,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X1),f10(X2,f10(X3,f18(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X1)),f20(cx,X1)))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1125,f1103]) ).

fof(f1328,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X1),f6(f10(X4,f18(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X1)),X5,f20(cx,X1),X2,X3))
      | ~ element_of_set(f20(cx,X1),intersection_of_sets(X2,X3))
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1125,f1070]) ).

fof(f1329,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1247,f1103]) ).

fof(f1330,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f6(f10(X6,f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X8,f19(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f19(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1247,f1070]) ).

fof(f1331,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1249,f1103]) ).

fof(f1332,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f6(f10(X6,f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X8,f20(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f20(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1249,f1070]) ).

fof(f1333,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1277,f1103]) ).

fof(f1334,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(X0,X1),f6(f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X10,f19(X0,X1),X2,X3))
      | ~ element_of_set(f19(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1277,f1070]) ).

fof(f1335,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1279,f1103]) ).

fof(f1336,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(X0,X1),f6(f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),X10,f20(X0,X1),X2,X3))
      | ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1279,f1070]) ).

fof(f1337,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1299,f1103]) ).

fof(f1338,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0),X0),X0),X0),X0),X16,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1299,f1070]) ).

fof(f1341,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f10(X3,f10(X4,f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f19(cx,X0)),f19(cx,X0)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1106,f1103]) ).

fof(f1342,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f6(f10(X5,f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f19(cx,X0)),X6,f19(cx,X0),X3,X4))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1106,f1070]) ).

fof(f1343,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f10(X3,f10(X4,f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f19(cx,X0)),f19(cx,X0)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1108,f1103]) ).

fof(f1344,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X0),f6(f10(X5,f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f19(cx,X0)),X6,f19(cx,X0),X3,X4))
      | ~ element_of_set(f19(cx,X0),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1108,f1070]) ).

fof(f1345,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X2),f10(X3,f10(X4,f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2)),f19(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1110,f1103]) ).

fof(f1346,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X2),f6(f10(X5,f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2)),X6,f19(cx,X2),X3,X4))
      | ~ element_of_set(f19(cx,X2),intersection_of_sets(X3,X4))
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1110,f1070]) ).

fof(f1347,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X2),f10(X3,f10(X4,f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2)),f19(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1112,f1103]) ).

fof(f1348,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f19(cx,X2),f6(f10(X5,f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2)),X6,f19(cx,X2),X3,X4))
      | ~ element_of_set(f19(cx,X2),intersection_of_sets(X3,X4))
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1112,f1070]) ).

fof(f1349,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f10(X3,f10(X4,f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f20(cx,X0)),f20(cx,X0)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1118,f1103]) ).

fof(f1350,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f6(f10(X5,f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f20(cx,X0)),X6,f20(cx,X0),X3,X4))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1118,f1070]) ).

fof(f1351,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f10(X3,f10(X4,f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f20(cx,X0)),f20(cx,X0)))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1120,f1103]) ).

fof(f1352,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X0),f6(f10(X5,f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f20(cx,X0)),X6,f20(cx,X0),X3,X4))
      | ~ element_of_set(f20(cx,X0),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f1120,f1070]) ).

fof(f1353,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X2),f10(X3,f10(X4,f18(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2)),f20(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1122,f1103]) ).

fof(f1354,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X2),f6(f10(X5,f18(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2)),X6,f20(cx,X2),X3,X4))
      | ~ element_of_set(f20(cx,X2),intersection_of_sets(X3,X4))
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1122,f1070]) ).

fof(f1355,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X2),f10(X3,f10(X4,f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2)),f20(cx,X2)))
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1124,f1103]) ).

fof(f1356,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | element_of_set(f20(cx,X2),f6(f10(X5,f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2)),X6,f20(cx,X2),X3,X4))
      | ~ element_of_set(f20(cx,X2),intersection_of_sets(X3,X4))
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1124,f1070]) ).

fof(f1357,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(intersection_of_sets(X0,X1),X3,f19(intersection_of_sets(X0,X1),X2),X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1206,f745]) ).

fof(f1358,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(intersection_of_sets(X0,X1),X3,f19(intersection_of_sets(X0,X1),X2),X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1357]) ).

fof(f1359,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(intersection_of_sets(X0,X1),X3,f20(intersection_of_sets(X0,X1),X2),X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1208,f744]) ).

fof(f1360,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(intersection_of_sets(X0,X1),X3,f20(intersection_of_sets(X0,X1),X2),X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1359]) ).

fof(f1361,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f1(X3,f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1228,f745]) ).

fof(f1362,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f1(X3,f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1361]) ).

fof(f1363,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f1(X3,f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1230,f744]) ).

fof(f1364,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f1(X3,f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1363]) ).

fof(f1365,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X6,f6(f10(X7,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1198,f1103]) ).

fof(f1366,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X8,f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f19(intersection_of_sets(X0,X1),X2)),X9,f19(intersection_of_sets(X0,X1),X2),X0,X1),X10,f19(intersection_of_sets(X0,X1),X2),X6,X7))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1198,f1070]) ).

fof(f1367,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X6,f6(f10(X7,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1200,f1103]) ).

fof(f1368,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X8,f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),f20(intersection_of_sets(X0,X1),X2)),X9,f20(intersection_of_sets(X0,X1),X2),X0,X1),X10,f20(intersection_of_sets(X0,X1),X2),X6,X7))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1200,f1070]) ).

fof(f1369,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(intersection_of_sets(X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1260,f745]) ).

fof(f1370,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(intersection_of_sets(X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1369]) ).

fof(f1371,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(intersection_of_sets(X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1262,f744]) ).

fof(f1372,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(intersection_of_sets(X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f1371]) ).

fof(f1374,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(union_of_members(X3),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1097,f745]) ).

fof(f1376,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(union_of_members(X3),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1097,f744]) ).

fof(f1377,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f1(X5,X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1137,f1103]) ).

fof(f1378,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f1(X6,X0),X0),X0),X0),X7,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1137,f1070]) ).

fof(f1379,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1143,f1103]) ).

fof(f1380,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1143,f1070]) ).

fof(f1382,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,union_of_members(X4),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1132,f745]) ).

fof(f1384,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,union_of_members(X4),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1132,f744]) ).

fof(f1386,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f1(X4,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1134,f745]) ).

fof(f1388,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f1(X4,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1134,f744]) ).

fof(f1389,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f1(X6,X0),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1377,f1103]) ).

fof(f1390,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f10(X6,f1(X7,X0),X0),X0),X0),X0),X8,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1377,f1070]) ).

fof(f1391,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1379,f1103]) ).

fof(f1392,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1379,f1070]) ).

fof(f1394,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,union_of_members(X5),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1136,f745]) ).

fof(f1396,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,union_of_members(X5),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1136,f744]) ).

fof(f1397,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f1(X7,X0),X0),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1389,f1103]) ).

fof(f1398,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f1(X8,X0),X0),X0),X0),X0),X0),X9,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1389,f1070]) ).

fof(f1400,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f1(X5,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1138,f745]) ).

fof(f1402,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f1(X5,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1138,f744]) ).

fof(f1403,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1391,f1103]) ).

fof(f1404,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,union_of_members(X9),X0),X0),X0),X0),X0),X0),X10,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f1391,f1070]) ).

fof(f1406,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,union_of_members(X6),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1144,f745]) ).

fof(f1408,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,union_of_members(X6),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1144,f744]) ).

fof(f1410,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,f1(X6,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1378,f745]) ).

fof(f1412,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,f1(X6,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1378,f744]) ).

fof(f1414,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,f10(X6,f1(X7,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1390,f745]) ).

fof(f1416,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f10(X4,f10(X5,f10(X6,f1(X7,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1)) ),
    inference(resolution,[status(thm)],[f1390,f744]) ).

fof(f1417,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X1,X0)
      | ~ open(X0,X2,X3)
      | neighborhood(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f200,f413]) ).

fof(f1418,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X1,X0)
      | neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1417,f967]) ).

fof(f1419,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X5)
      | neighborhood(f10(X0,f10(X1,f6(intersection_of_sets(X2,X3),X4,f19(intersection_of_sets(X2,X3),X5),X2,X3),f19(intersection_of_sets(X2,X3),X5)),f19(intersection_of_sets(X2,X3),X5)),f19(intersection_of_sets(X2,X3),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1259]) ).

fof(f1420,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X4)
      | neighborhood(f10(X0,f6(f10(X1,intersection_of_sets(X2,X3),f19(intersection_of_sets(X2,X3),X4)),X5,f19(intersection_of_sets(X2,X3),X4),X2,X3),f19(intersection_of_sets(X2,X3),X4)),f19(intersection_of_sets(X2,X3),X4),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1263]) ).

fof(f1421,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X4)
      | neighborhood(f10(X0,f6(f1(X1,f19(intersection_of_sets(X2,X3),X4)),X5,f19(intersection_of_sets(X2,X3),X4),X2,X3),f19(intersection_of_sets(X2,X3),X4)),f19(intersection_of_sets(X2,X3),X4),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1227]) ).

fof(f1422,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X4)
      | neighborhood(f10(X0,f6(intersection_of_sets(X1,X2),X3,f19(intersection_of_sets(X1,X2),X4),X1,X2),f19(intersection_of_sets(X1,X2),X4)),f19(intersection_of_sets(X1,X2),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1205]) ).

fof(f1423,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | neighborhood(f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2),X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1170]) ).

fof(f1424,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X3)
      | limit_point(f19(intersection_of_sets(X1,X2),X3),X4,X5,X6)
      | neighborhood(f6(f10(X0,f16(f19(intersection_of_sets(X1,X2),X3),X4,X5,X6),f19(intersection_of_sets(X1,X2),X3)),X7,f19(intersection_of_sets(X1,X2),X3),X1,X2),f19(intersection_of_sets(X1,X2),X3),X8,X9) ),
    inference(resolution,[status(thm)],[f1418,f1198]) ).

fof(f1425,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X4)
      | neighborhood(f6(f10(X0,f10(X1,intersection_of_sets(X2,X3),f19(intersection_of_sets(X2,X3),X4)),f19(intersection_of_sets(X2,X3),X4)),X5,f19(intersection_of_sets(X2,X3),X4),X2,X3),f19(intersection_of_sets(X2,X3),X4),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1254]) ).

fof(f1426,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X3)
      | neighborhood(f6(f10(X0,intersection_of_sets(X1,X2),f19(intersection_of_sets(X1,X2),X3)),X4,f19(intersection_of_sets(X1,X2),X3),X1,X2),f19(intersection_of_sets(X1,X2),X3),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1222]) ).

fof(f1427,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X3)
      | neighborhood(f6(f1(X0,f19(intersection_of_sets(X1,X2),X3)),X4,f19(intersection_of_sets(X1,X2),X3),X1,X2),f19(intersection_of_sets(X1,X2),X3),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1099]) ).

fof(f1428,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X3)
      | neighborhood(f6(intersection_of_sets(X0,X1),X2,f19(intersection_of_sets(X0,X1),X3),X0,X1),f19(intersection_of_sets(X0,X1),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1176]) ).

fof(f1429,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(interior(X2,X3,X4),X5)
      | neighborhood(f10(X0,f10(X1,f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)),f19(interior(X2,X3,X4),X5)),f19(interior(X2,X3,X4),X5)),f19(interior(X2,X3,X4),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1247]) ).

fof(f1430,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(interior(X1,X2,X3),X4)
      | neighborhood(f10(X0,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4)),f19(interior(X1,X2,X3),X4)),f19(interior(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1104]) ).

fof(f1431,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | neighborhood(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f986]) ).

fof(f1432,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X2,X3,X4),X5)
      | neighborhood(f10(X0,f10(X1,closure(X2,X3,X4),f19(boundary(X2,X3,X4),X5)),f19(boundary(X2,X3,X4),X5)),f19(boundary(X2,X3,X4),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1209]) ).

fof(f1433,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X1,X2,X3),X4)
      | neighborhood(f10(X0,closure(X1,X2,X3),f19(boundary(X1,X2,X3),X4)),f19(boundary(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1105]) ).

fof(f1434,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | neighborhood(closure(X0,X1,X2),f19(boundary(X0,X1,X2),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f976]) ).

fof(f1435,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f20(intersection_of_members(X1),X2),f19(cx,X3))
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f10(X0,f18(cx,ct,f20(intersection_of_members(X1),X2),f19(cx,X3)),f19(cx,X3)),f19(cx,X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1112]) ).

fof(f1436,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(cx,X1),f19(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f18(cx,ct,f20(cx,X1),f19(cx,X2)),f19(cx,X2)),f19(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1113]) ).

fof(f1437,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f19(intersection_of_members(X1),X2),f19(cx,X3))
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f10(X0,f18(cx,ct,f19(intersection_of_members(X1),X2),f19(cx,X3)),f19(cx,X3)),f19(cx,X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1110]) ).

fof(f1438,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X1),f19(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f18(cx,ct,f19(cx,X1),f19(cx,X2)),f19(cx,X2)),f19(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1111]) ).

fof(f1439,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X1),f19(intersection_of_members(X2),X3))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f19(cx,X1),f19(intersection_of_members(X2),X3)),f19(cx,X1)),f19(cx,X1),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1108]) ).

fof(f1440,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X1),f19(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f19(cx,X1),f19(cx,X2)),f19(cx,X1)),f19(cx,X1),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1109]) ).

fof(f1441,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X1),f20(intersection_of_members(X2),X3))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f19(cx,X1),f20(intersection_of_members(X2),X3)),f19(cx,X1)),f19(cx,X1),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1106]) ).

fof(f1442,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X1),f20(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f19(cx,X1),f20(cx,X2)),f19(cx,X1)),f19(cx,X1),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1107]) ).

fof(f1443,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X1),X2)),f19(cx,X0),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1024]) ).

fof(f1444,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f19(cx,X0),f20(cx,X1)),f19(cx,X0),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f927]) ).

fof(f1445,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X1),X2)),f19(cx,X0),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1023]) ).

fof(f1446,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X0),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f926]) ).

fof(f1447,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1)
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1012]) ).

fof(f1448,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f18(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f917]) ).

fof(f1449,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1)
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),f19(cx,X2)),f19(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f993]) ).

fof(f1450,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f18(cx,ct,f20(cx,X0),f19(cx,X1)),f19(cx,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f914]) ).

fof(f1451,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(X0,f19(intersection_of_members(X1),X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f771]) ).

fof(f1452,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | hausdorff(X6,X7)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,X6,f19(X6,X7)),f19(X6,X7)),f19(X6,X7)),f19(X6,X7)),f19(X6,X7)),f19(X6,X7)),f19(X6,X7),X8,X9) ),
    inference(resolution,[status(thm)],[f1418,f1277]) ).

fof(f1453,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(X5,X6)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,X5,f19(X5,X6)),f19(X5,X6)),f19(X5,X6)),f19(X5,X6)),f19(X5,X6)),f19(X5,X6),X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1231]) ).

fof(f1454,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(X4,X5)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5)),f19(X4,X5)),f19(X4,X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1201]) ).

fof(f1455,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(X3,X4)
      | neighborhood(f10(X0,f10(X1,f10(X2,X3,f19(X3,X4)),f19(X3,X4)),f19(X3,X4)),f19(X3,X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1163]) ).

fof(f1456,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X2,X3)
      | neighborhood(f10(X0,f10(X1,X2,f19(X2,X3)),f19(X2,X3)),f19(X2,X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1155]) ).

fof(f1457,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(X1,X2)
      | neighborhood(f10(X0,X1,f19(X1,X2)),f19(X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1115]) ).

fof(f1458,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | neighborhood(X0,f19(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f745]) ).

fof(f1459,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X5)
      | neighborhood(f10(X0,f10(X1,f6(intersection_of_sets(X2,X3),X4,f20(intersection_of_sets(X2,X3),X5),X2,X3),f20(intersection_of_sets(X2,X3),X5)),f20(intersection_of_sets(X2,X3),X5)),f20(intersection_of_sets(X2,X3),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1261]) ).

fof(f1460,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X4)
      | neighborhood(f10(X0,f6(f10(X1,intersection_of_sets(X2,X3),f20(intersection_of_sets(X2,X3),X4)),X5,f20(intersection_of_sets(X2,X3),X4),X2,X3),f20(intersection_of_sets(X2,X3),X4)),f20(intersection_of_sets(X2,X3),X4),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1265]) ).

fof(f1461,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X4)
      | neighborhood(f10(X0,f6(f1(X1,f20(intersection_of_sets(X2,X3),X4)),X5,f20(intersection_of_sets(X2,X3),X4),X2,X3),f20(intersection_of_sets(X2,X3),X4)),f20(intersection_of_sets(X2,X3),X4),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1229]) ).

fof(f1462,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X4)
      | neighborhood(f10(X0,f6(intersection_of_sets(X1,X2),X3,f20(intersection_of_sets(X1,X2),X4),X1,X2),f20(intersection_of_sets(X1,X2),X4)),f20(intersection_of_sets(X1,X2),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1207]) ).

fof(f1463,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | neighborhood(f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2),X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1172]) ).

fof(f1464,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X3)
      | limit_point(f20(intersection_of_sets(X1,X2),X3),X4,X5,X6)
      | neighborhood(f6(f10(X0,f16(f20(intersection_of_sets(X1,X2),X3),X4,X5,X6),f20(intersection_of_sets(X1,X2),X3)),X7,f20(intersection_of_sets(X1,X2),X3),X1,X2),f20(intersection_of_sets(X1,X2),X3),X8,X9) ),
    inference(resolution,[status(thm)],[f1418,f1200]) ).

fof(f1465,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X2,X3),X4)
      | neighborhood(f6(f10(X0,f10(X1,intersection_of_sets(X2,X3),f20(intersection_of_sets(X2,X3),X4)),f20(intersection_of_sets(X2,X3),X4)),X5,f20(intersection_of_sets(X2,X3),X4),X2,X3),f20(intersection_of_sets(X2,X3),X4),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1258]) ).

fof(f1466,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X3)
      | neighborhood(f6(f10(X0,intersection_of_sets(X1,X2),f20(intersection_of_sets(X1,X2),X3)),X4,f20(intersection_of_sets(X1,X2),X3),X1,X2),f20(intersection_of_sets(X1,X2),X3),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1226]) ).

fof(f1467,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X1,X2),X3)
      | neighborhood(f6(f1(X0,f20(intersection_of_sets(X1,X2),X3)),X4,f20(intersection_of_sets(X1,X2),X3),X1,X2),f20(intersection_of_sets(X1,X2),X3),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1101]) ).

fof(f1468,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X3)
      | neighborhood(f6(intersection_of_sets(X0,X1),X2,f20(intersection_of_sets(X0,X1),X3),X0,X1),f20(intersection_of_sets(X0,X1),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1180]) ).

fof(f1469,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(interior(X2,X3,X4),X5)
      | neighborhood(f10(X0,f10(X1,f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)),f20(interior(X2,X3,X4),X5)),f20(interior(X2,X3,X4),X5)),f20(interior(X2,X3,X4),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1249]) ).

fof(f1470,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(interior(X1,X2,X3),X4)
      | neighborhood(f10(X0,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4)),f20(interior(X1,X2,X3),X4)),f20(interior(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1116]) ).

fof(f1471,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | neighborhood(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f988]) ).

fof(f1472,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X2,X3,X4),X5)
      | neighborhood(f10(X0,f10(X1,closure(X2,X3,X4),f20(boundary(X2,X3,X4),X5)),f20(boundary(X2,X3,X4),X5)),f20(boundary(X2,X3,X4),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1211]) ).

fof(f1473,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X1,X2,X3),X4)
      | neighborhood(f10(X0,closure(X1,X2,X3),f20(boundary(X1,X2,X3),X4)),f20(boundary(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1117]) ).

fof(f1474,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | neighborhood(closure(X0,X1,X2),f20(boundary(X0,X1,X2),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f978]) ).

fof(f1475,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f20(intersection_of_members(X1),X2),f20(cx,X3))
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f10(X0,f18(cx,ct,f20(intersection_of_members(X1),X2),f20(cx,X3)),f20(cx,X3)),f20(cx,X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1124]) ).

fof(f1476,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(cx,X1),f20(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f18(cx,ct,f20(cx,X1),f20(cx,X2)),f20(cx,X2)),f20(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1125]) ).

fof(f1477,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f19(intersection_of_members(X1),X2),f20(cx,X3))
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(f10(X0,f18(cx,ct,f19(intersection_of_members(X1),X2),f20(cx,X3)),f20(cx,X3)),f20(cx,X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1122]) ).

fof(f1478,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X1),f20(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f18(cx,ct,f19(cx,X1),f20(cx,X2)),f20(cx,X2)),f20(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1123]) ).

fof(f1479,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(cx,X1),f19(intersection_of_members(X2),X3))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f20(cx,X1),f19(intersection_of_members(X2),X3)),f20(cx,X1)),f20(cx,X1),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1120]) ).

fof(f1480,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(cx,X1),f19(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f20(cx,X1),f19(cx,X2)),f20(cx,X1)),f20(cx,X1),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1121]) ).

fof(f1481,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(cx,X1),f20(intersection_of_members(X2),X3))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f20(cx,X1),f20(intersection_of_members(X2),X3)),f20(cx,X1)),f20(cx,X1),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1118]) ).

fof(f1482,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(cx,X1),f20(cx,X2))
      | hausdorff(cx,X1)
      | neighborhood(f10(X0,f17(cx,ct,f20(cx,X1),f20(cx,X2)),f20(cx,X1)),f20(cx,X1),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1119]) ).

fof(f1483,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X1),X2)),f20(cx,X0),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1021]) ).

fof(f1484,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X0),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f924]) ).

fof(f1485,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X1),X2)),f20(cx,X0),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1020]) ).

fof(f1486,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f17(cx,ct,f20(cx,X0),f19(cx,X1)),f20(cx,X0),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f923]) ).

fof(f1487,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1)
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1014]) ).

fof(f1488,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f18(cx,ct,f19(cx,X0),f20(cx,X1)),f20(cx,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f918]) ).

fof(f1489,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1)
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X0),X1),f20(cx,X2)),f20(cx,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1007]) ).

fof(f1490,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0)
      | neighborhood(f18(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f915]) ).

fof(f1491,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_members(X1),X2)
      | neighborhood(X0,f20(intersection_of_members(X1),X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f767]) ).

fof(f1492,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | hausdorff(X6,X7)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,X6,f20(X6,X7)),f20(X6,X7)),f20(X6,X7)),f20(X6,X7)),f20(X6,X7)),f20(X6,X7)),f20(X6,X7),X8,X9) ),
    inference(resolution,[status(thm)],[f1418,f1279]) ).

fof(f1493,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(X5,X6)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,X5,f20(X5,X6)),f20(X5,X6)),f20(X5,X6)),f20(X5,X6)),f20(X5,X6)),f20(X5,X6),X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1233]) ).

fof(f1494,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(X4,X5)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5)),f20(X4,X5)),f20(X4,X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1203]) ).

fof(f1495,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(X3,X4)
      | neighborhood(f10(X0,f10(X1,f10(X2,X3,f20(X3,X4)),f20(X3,X4)),f20(X3,X4)),f20(X3,X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1165]) ).

fof(f1496,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X2,X3)
      | neighborhood(f10(X0,f10(X1,X2,f20(X2,X3)),f20(X2,X3)),f20(X2,X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1157]) ).

fof(f1497,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(X1,X2)
      | neighborhood(f10(X0,X1,f20(X1,X2)),f20(X1,X2),X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1127]) ).

fof(f1498,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | neighborhood(X0,f20(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f744]) ).

fof(f1499,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X1,X2,X3,X4)
      | neighborhood(f10(X0,f16(X1,X2,X3,X4),X1),X1,X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1128]) ).

fof(f1500,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X2,X3,X4,X5)
      | neighborhood(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X2,X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1159]) ).

fof(f1501,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,f1(X3,X4),X4),X4),X4),X4,X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1137]) ).

fof(f1502,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f1(X4,X5),X5),X5),X5),X5),X5,X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1377]) ).

fof(f1503,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,union_of_members(X4),X5),X5),X5),X5),X5,X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1143]) ).

fof(f1504,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f1(X5,X6),X6),X6),X6),X6),X6),X6,X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1389]) ).

fof(f1505,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,union_of_members(X5),X6),X6),X6),X6),X6),X6,X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1379]) ).

fof(f1506,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X7),X7),X7),X7),X7),X7),X7,X8,X9) ),
    inference(resolution,[status(thm)],[f1418,f1391]) ).

fof(f1507,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X10,X11,X12,X13)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X10,X11,X12,X13),X10),X10),X10),X10),X10),X10),X10),X10),X10),X10),X10,X14,X15) ),
    inference(resolution,[status(thm)],[f1418,f1299]) ).

fof(f1508,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X9,X10,X11,X12)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X9,X10,X11,X12),X9),X9),X9),X9),X9),X9),X9),X9),X9),X9,X13,X14) ),
    inference(resolution,[status(thm)],[f1418,f1281]) ).

fof(f1509,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X8,X9,X10,X11)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f16(X8,X9,X10,X11),X8),X8),X8),X8),X8),X8),X8),X8),X8,X12,X13) ),
    inference(resolution,[status(thm)],[f1418,f1267]) ).

fof(f1510,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X7,X8,X9,X10)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f16(X7,X8,X9,X10),X7),X7),X7),X7),X7),X7),X7),X7,X11,X12) ),
    inference(resolution,[status(thm)],[f1418,f1235]) ).

fof(f1511,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X6,X7,X8,X9)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f16(X6,X7,X8,X9),X6),X6),X6),X6),X6),X6),X6,X10,X11) ),
    inference(resolution,[status(thm)],[f1418,f1213]) ).

fof(f1512,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X5,X6,X7,X8)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f10(X4,f16(X5,X6,X7,X8),X5),X5),X5),X5),X5),X5,X9,X10) ),
    inference(resolution,[status(thm)],[f1418,f1195]) ).

fof(f1513,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X4,X5,X6,X7)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,X5,X6,X7),X4),X4),X4),X4),X4,X8,X9) ),
    inference(resolution,[status(thm)],[f1418,f1167]) ).

fof(f1514,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X3,X4,X5,X6)
      | neighborhood(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X3,X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f1161]) ).

fof(f1515,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X4,X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f1135]) ).

fof(f1516,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,f1(X2,X3),X3),X3),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1133]) ).

fof(f1517,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f10(X1,union_of_members(X2),X3),X3),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f1131]) ).

fof(f1518,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | neighborhood(f10(X0,f1(X1,X2),X2),X2,X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1129]) ).

fof(f1519,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | neighborhood(f10(X0,union_of_members(X1),X2),X2,X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1130]) ).

fof(f1520,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X1,X2,X3)
      | neighborhood(f16(X0,X1,X2,X3),X0,X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f794]) ).

fof(f1521,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | neighborhood(f1(X0,X1),X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f758]) ).

fof(f1522,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | neighborhood(union_of_members(X0),X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f757]) ).

fof(f1530,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f19(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2)) ),
    inference(resolution,[status(thm)],[f213,f745]) ).

fof(f1532,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f20(boundary(X0,X1,X2),X3),closure(relative_complement_sets(X0,X1),X1,X2)) ),
    inference(resolution,[status(thm)],[f213,f744]) ).

fof(f1533,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ equal_sets(union_of_members(X0),X1)
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f257,f413]) ).

fof(f1534,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | compact_space(X0,X1)
      | ~ equal_sets(union_of_members(f24(X0,X1)),X2)
      | open_covering(f24(X0,X1),X2,X1) ),
    inference(resolution,[status(thm)],[f1533,f776]) ).

fof(f1535,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | compact_space(X0,X1)
      | open_covering(f24(X0,X1),X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1534,f761]) ).

fof(f1537,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ17_spl
      | element_of_set(X0,X4)
      | ~ closed(X4,X2,X3)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f189,f453]) ).

fof(f1538,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X3,X1,X2),X4)
      | element_of_set(f19(boundary(X3,X1,X2),X4),X0)
      | ~ closed(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f1537,f976]) ).

fof(f1540,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X3,X1,X2),X4)
      | element_of_set(f19(closure(X3,X1,X2),X4),X0)
      | ~ closed(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f1537,f745]) ).

fof(f1541,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X3,X1,X2),X4)
      | element_of_set(f20(boundary(X3,X1,X2),X4),X0)
      | ~ closed(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f1537,f978]) ).

fof(f1543,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X3,X1,X2),X4)
      | element_of_set(f20(closure(X3,X1,X2),X4),X0)
      | ~ closed(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f1537,f744]) ).

fof(f1544,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f19(boundary(X0,X1,X2),X3),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1538,f970]) ).

fof(f1545,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f19(closure(X0,X1,X2),X3),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1540,f970]) ).

fof(f1546,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f20(boundary(X0,X1,X2),X3),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1541,f970]) ).

fof(f1547,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f20(closure(X0,X1,X2),X3),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1543,f970]) ).

fof(f1548,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ open(X4,X2,X3)
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f183,f413]) ).

fof(f1549,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ17_spl
      | ~ sQ7_spl
      | ~ open(X4,X2,X3)
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f1548,f453]) ).

fof(f1550,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ17_spl
      | ~ sQ7_spl
      | ~ open(X4,X2,X3)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1549,f453]) ).

fof(f1551,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f413]) ).

fof(f1554,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X1),X2)
      | element_of_set(f15(f20(intersection_of_members(X1),X2),X5,X3,X4,X0),intersection_of_sets(X0,X5))
      | ~ neighborhood(X0,f20(intersection_of_members(X1),X2),X3,X4) ),
    inference(resolution,[status(thm)],[f205,f1141]) ).

fof(f1555,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),X1)
      | element_of_set(f15(X1,X4,X2,X3,X0),intersection_of_sets(X0,X4))
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f205,f801]) ).

fof(f1556,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),X1)
      | element_of_set(f15(X1,X4,X2,X3,X0),intersection_of_sets(X0,X4))
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f205,f799]) ).

fof(f1573,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | equal_sets(f18(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),empty_set)
      | equal_sets(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),empty_set)
      | separation(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),intersection_of_sets(X4,f12(X5,X6,X4,union_of_sets(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3)),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))))),X7)
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f903,f1146]) ).

fof(f1574,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | equal_sets(f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),empty_set)
      | equal_sets(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),empty_set)
      | separation(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2)),f18(cx,ct,f19(intersection_of_members(X0),X1),f19(cx,X2))))),X6)
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f904,f1146]) ).

fof(f1575,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | open_covering(f23(X2,X1,f24(X0,X1)),X2,X1)
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1535,f261]) ).

fof(f1576,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | subset_collections(f23(X2,X1,f24(X0,X1)),f24(X0,X1))
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1535,f260]) ).

fof(f1577,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | finite(f23(X2,X1,f24(X0,X1)))
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1535,f259]) ).

fof(f1584,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_spl
      | finite(f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1577,f297]) ).

fof(f1594,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | limit_point(X4,X5,X6,X7)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f796]) ).

fof(f1611,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3)),f18(cx,ct,f19(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3)))
      | eq_p(f19(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f782]) ).

fof(f1612,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3)),f18(cx,ct,f20(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3)))
      | eq_p(f20(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f777]) ).

fof(f1613,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f19(cx,X4),f19(boundary(X0,X1,X2),X3)),f19(cx,X4),cx,ct)
      | eq_p(f19(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f769]) ).

fof(f1614,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(cx,X4),f19(boundary(X0,X1,X2),X3)),f18(cx,ct,f19(cx,X4),f19(boundary(X0,X1,X2),X3)))
      | eq_p(f19(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f768]) ).

fof(f1615,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f20(cx,X4),f19(boundary(X0,X1,X2),X3)),f20(cx,X4),cx,ct)
      | eq_p(f20(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f765]) ).

fof(f1616,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(cx,X4),f19(boundary(X0,X1,X2),X3)),f18(cx,ct,f20(cx,X4),f19(boundary(X0,X1,X2),X3)))
      | eq_p(f20(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f764]) ).

fof(f1617,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f784]) ).

fof(f1618,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(intersection_of_members(X4),X5),f19(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f779]) ).

fof(f1619,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(cx,X4),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f770]) ).

fof(f1620,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(cx,X4),f19(boundary(X0,X1,X2),X3)),f19(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f766]) ).

fof(f1621,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),X4),f18(cx,ct,f19(boundary(X0,X1,X2),X3),X4))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f720]) ).

fof(f1623,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(boundary(X0,X1,X2),X3),X4),X4,cx,ct)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f721]) ).

fof(f1626,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(X4,f19(boundary(X0,X1,X2),X3),X5,X6)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1544,f1418]) ).

fof(f1642,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | limit_point(X4,X5,X6,X7)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f796]) ).

fof(f1659,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3)),f18(cx,ct,f19(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3)))
      | eq_p(f19(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f782]) ).

fof(f1660,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3)),f18(cx,ct,f20(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3)))
      | eq_p(f20(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f777]) ).

fof(f1661,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f19(cx,X4),f19(closure(X0,X1,X2),X3)),f19(cx,X4),cx,ct)
      | eq_p(f19(cx,X4),f19(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f769]) ).

fof(f1662,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(cx,X4),f19(closure(X0,X1,X2),X3)),f18(cx,ct,f19(cx,X4),f19(closure(X0,X1,X2),X3)))
      | eq_p(f19(cx,X4),f19(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f768]) ).

fof(f1663,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f20(cx,X4),f19(closure(X0,X1,X2),X3)),f20(cx,X4),cx,ct)
      | eq_p(f20(cx,X4),f19(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f765]) ).

fof(f1664,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(cx,X4),f19(closure(X0,X1,X2),X3)),f18(cx,ct,f20(cx,X4),f19(closure(X0,X1,X2),X3)))
      | eq_p(f20(cx,X4),f19(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f764]) ).

fof(f1665,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3)),f19(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f784]) ).

fof(f1666,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3)),f19(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(intersection_of_members(X4),X5),f19(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f779]) ).

fof(f1667,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(cx,X4),f19(closure(X0,X1,X2),X3)),f19(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(cx,X4),f19(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f770]) ).

fof(f1668,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(cx,X4),f19(closure(X0,X1,X2),X3)),f19(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(cx,X4),f19(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f766]) ).

fof(f1669,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),X4),f18(cx,ct,f19(closure(X0,X1,X2),X3),X4))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f720]) ).

fof(f1670,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f19(closure(X0,X1,X2),X3),X4),f19(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f722]) ).

fof(f1671,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(closure(X0,X1,X2),X3),X4),X4,cx,ct)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f721]) ).

fof(f1674,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(X4,f19(closure(X0,X1,X2),X3),X5,X6)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1545,f1418]) ).

fof(f1690,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | limit_point(X4,X5,X6,X7)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f796]) ).

fof(f1707,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3)),f18(cx,ct,f19(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3)))
      | eq_p(f19(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f782]) ).

fof(f1708,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3)),f18(cx,ct,f20(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3)))
      | eq_p(f20(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f777]) ).

fof(f1709,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f19(cx,X4),f20(boundary(X0,X1,X2),X3)),f19(cx,X4),cx,ct)
      | eq_p(f19(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f769]) ).

fof(f1710,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(cx,X4),f20(boundary(X0,X1,X2),X3)),f18(cx,ct,f19(cx,X4),f20(boundary(X0,X1,X2),X3)))
      | eq_p(f19(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f768]) ).

fof(f1711,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f20(cx,X4),f20(boundary(X0,X1,X2),X3)),f20(cx,X4),cx,ct)
      | eq_p(f20(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f765]) ).

fof(f1712,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(cx,X4),f20(boundary(X0,X1,X2),X3)),f18(cx,ct,f20(cx,X4),f20(boundary(X0,X1,X2),X3)))
      | eq_p(f20(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f764]) ).

fof(f1713,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f784]) ).

fof(f1714,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(intersection_of_members(X4),X5),f20(boundary(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f779]) ).

fof(f1715,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(cx,X4),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f770]) ).

fof(f1716,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(cx,X4),f20(boundary(X0,X1,X2),X3)),f20(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f766]) ).

fof(f1717,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(boundary(X0,X1,X2),X3),X4),f18(cx,ct,f20(boundary(X0,X1,X2),X3),X4))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f720]) ).

fof(f1718,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f20(boundary(X0,X1,X2),X3),X4),f20(boundary(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f722]) ).

fof(f1719,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(boundary(X0,X1,X2),X3),X4),X4,cx,ct)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f721]) ).

fof(f1722,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(X4,f20(boundary(X0,X1,X2),X3),X5,X6)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1546,f1418]) ).

fof(f1738,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | limit_point(X4,X5,X6,X7)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f796]) ).

fof(f1755,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3)),f18(cx,ct,f19(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3)))
      | eq_p(f19(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f782]) ).

fof(f1756,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3)),f18(cx,ct,f20(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3)))
      | eq_p(f20(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f777]) ).

fof(f1757,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f19(cx,X4),f20(closure(X0,X1,X2),X3)),f19(cx,X4),cx,ct)
      | eq_p(f19(cx,X4),f20(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f769]) ).

fof(f1758,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f19(cx,X4),f20(closure(X0,X1,X2),X3)),f18(cx,ct,f19(cx,X4),f20(closure(X0,X1,X2),X3)))
      | eq_p(f19(cx,X4),f20(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f768]) ).

fof(f1759,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f20(cx,X4),f20(closure(X0,X1,X2),X3)),f20(cx,X4),cx,ct)
      | eq_p(f20(cx,X4),f20(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f765]) ).

fof(f1760,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(cx,X4),f20(closure(X0,X1,X2),X3)),f18(cx,ct,f20(cx,X4),f20(closure(X0,X1,X2),X3)))
      | eq_p(f20(cx,X4),f20(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f764]) ).

fof(f1761,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3)),f20(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f784]) ).

fof(f1762,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3)),f20(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(intersection_of_members(X4),X5),f20(closure(X0,X1,X2),X3))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f779]) ).

fof(f1763,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f19(cx,X4),f20(closure(X0,X1,X2),X3)),f20(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f19(cx,X4),f20(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f770]) ).

fof(f1764,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(cx,X4),f20(closure(X0,X1,X2),X3)),f20(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(cx,X4),f20(closure(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f766]) ).

fof(f1765,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | disjoint_s(f17(cx,ct,f20(closure(X0,X1,X2),X3),X4),f18(cx,ct,f20(closure(X0,X1,X2),X3),X4))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f720]) ).

fof(f1766,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f17(cx,ct,f20(closure(X0,X1,X2),X3),X4),f20(closure(X0,X1,X2),X3),cx,ct)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f722]) ).

fof(f1767,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f18(cx,ct,f20(closure(X0,X1,X2),X3),X4),X4,cx,ct)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f721]) ).

fof(f1770,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(X4,f20(closure(X0,X1,X2),X3),X5,X6)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1547,f1418]) ).

fof(f1779,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_spl
      | open_covering(f23(cx,ct,f24(X0,ct)),cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1575,f297]) ).

fof(f1785,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_spl
      | subset_collections(f23(cx,ct,f24(X0,ct)),f24(X0,ct))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1576,f297]) ).

fof(f1786,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_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)],[f1779,f261]) ).

fof(f1787,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_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)],[f1779,f260]) ).

fof(f1788,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_spl
      | finite(f23(cx,ct,f23(cx,ct,f24(X0,ct))))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1779,f259]) ).

fof(f1789,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ7_spl
      | subset_collections(f23(cx,ct,f24(X0,ct)),ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1779,f253]) ).

fof(f1790,definition,
    ! [X0] :
      ( sQ51_spl
    <=> ( open_covering(f23(cx,ct,f23(cx,ct,f24(X0,ct))),cx,ct)
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f1791,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f24(X0,ct))),cx,ct)
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f1790]) ).

fof(f1793,plain,
    ( ~ sQ7_spl
    | ~ sQ3_spl
    | sQ51_spl ),
    inference(split_clause,[status(thm)],[f1786,f1790,f296,f412]) ).

fof(f1794,definition,
    ! [X0] :
      ( sQ52_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,[sQ52_spl])],[split_symbol_definition]) ).

fof(f1795,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f24(X0,ct))),f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f1794]) ).

fof(f1797,plain,
    ( ~ sQ7_spl
    | ~ sQ3_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f1787,f1794,f296,f412]) ).

fof(f1798,definition,
    ! [X0] :
      ( sQ53_spl
    <=> ( finite(f23(cx,ct,f23(cx,ct,f24(X0,ct))))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f1799,plain,
    ! [X0] :
      ( ~ sQ53_spl
      | finite(f23(cx,ct,f23(cx,ct,f24(X0,ct))))
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f1798]) ).

fof(f1801,plain,
    ( ~ sQ7_spl
    | ~ sQ3_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f1788,f1798,f296,f412]) ).

fof(f1803,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X8,X6,X7,X5),intersection_of_sets(X5,X8))
      | ~ neighborhood(X5,X4,X6,X7)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1594,f205]) ).

fof(f1804,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | limit_point(f20(boundary(X0,X1,X2),X3),X4,X5,X6)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1594,f1139]) ).

fof(f1805,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(boundary(X0,X1,X2),X3),X4,X5,X6)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f1804]) ).

fof(f1806,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X7,X5,X6,X4),intersection_of_sets(X4,X7))
      | ~ neighborhood(X4,f20(boundary(X0,X1,X2),X3),X5,X6)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1805,f205]) ).

fof(f1807,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1806,f1722]) ).

fof(f1808,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X8,X6,X7,X5),intersection_of_sets(X5,X8))
      | ~ neighborhood(X5,X4,X6,X7)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1642,f205]) ).

fof(f1809,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | limit_point(f20(closure(X0,X1,X2),X3),X4,X5,X6)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1642,f1139]) ).

fof(f1810,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(closure(X0,X1,X2),X3),X4,X5,X6)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f1809]) ).

fof(f1811,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X7,X5,X6,X4),intersection_of_sets(X4,X7))
      | ~ neighborhood(X4,f20(closure(X0,X1,X2),X3),X5,X6)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1810,f205]) ).

fof(f1812,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1811,f1770]) ).

fof(f1813,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X8,X6,X7,X5),intersection_of_sets(X5,X8))
      | ~ neighborhood(X5,X4,X6,X7)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1690,f205]) ).

fof(f1814,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X8,X6,X7,X5),intersection_of_sets(X5,X8))
      | ~ neighborhood(X5,X4,X6,X7)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1738,f205]) ).

fof(f1815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | neighborhood(f6(f10(X3,f1(X4,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2),X6,X7)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1386,f1418]) ).

fof(f1816,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,f1(X5,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1386,f1103]) ).

fof(f1817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,f1(X6,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X8,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1386,f1070]) ).

fof(f1818,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | neighborhood(f6(f10(X3,f1(X4,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2),X6,X7)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1388,f1418]) ).

fof(f1819,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,f1(X5,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1388,f1103]) ).

fof(f1820,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,f1(X6,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X8,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1388,f1070]) ).

fof(f1827,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f20(boundary(X0,X1,X2),X3),X5,X8,X9,f16(X4,X5,X6,X7)),X4)
      | limit_point(X4,X5,X6,X7)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f796]) ).

fof(f1828,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f10(X10,f10(X11,f1(X12,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X13,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1390]) ).

fof(f1829,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f10(X10,f1(X11,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X12,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1378]) ).

fof(f1830,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f10(X10,union_of_members(X11),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X12,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1144]) ).

fof(f1831,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f1(X10,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X11,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1138]) ).

fof(f1832,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,union_of_members(X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X11,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1136]) ).

fof(f1833,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f1(X9,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X10,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1134]) ).

fof(f1834,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,union_of_members(X9),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X10,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1132]) ).

fof(f1835,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(union_of_members(X8),X9,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1097]) ).

fof(f1836,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X17,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1236]) ).

fof(f1837,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X16,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1214]) ).

fof(f1838,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X15,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1196]) ).

fof(f1839,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X14,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1168]) ).

fof(f1840,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X13,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1162]) ).

fof(f1841,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X12,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1160]) ).

fof(f1842,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f16(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),X11,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1095]) ).

fof(f1843,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(f1(X8,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)),X9,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1096]) ).

fof(f1844,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X4,X5),f15(f20(boundary(X0,X1,X2),X3),X5,X6,X7,X4),X8,X9)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1418]) ).

fof(f1845,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f10(X8,intersection_of_sets(X7,X4),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1103]) ).

fof(f1846,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),f6(intersection_of_sets(X7,X4),X10,f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9))
      | ~ element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X8,X9))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1807,f1070]) ).

fof(f1847,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f20(closure(X0,X1,X2),X3),X5,X8,X9,f16(X4,X5,X6,X7)),X4)
      | limit_point(X4,X5,X6,X7)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f796]) ).

fof(f1848,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f10(X10,f10(X11,f1(X12,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X13,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1390]) ).

fof(f1849,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f10(X10,f1(X11,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X12,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1378]) ).

fof(f1850,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f10(X10,union_of_members(X11),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X12,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1144]) ).

fof(f1851,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,f1(X10,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X11,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1138]) ).

fof(f1852,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f10(X9,union_of_members(X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X11,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1136]) ).

fof(f1853,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,f1(X9,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X10,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1134]) ).

fof(f1854,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X8,union_of_members(X9),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X10,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1132]) ).

fof(f1855,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(union_of_members(X8),X9,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1097]) ).

fof(f1856,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X17,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1236]) ).

fof(f1857,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X16,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1214]) ).

fof(f1858,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X15,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1196]) ).

fof(f1859,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f10(X13,f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X14,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1168]) ).

fof(f1860,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f10(X12,f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X13,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1162]) ).

fof(f1861,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f10(X11,f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X12,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1160]) ).

fof(f1862,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10)
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f16(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10),X11,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1095]) ).

fof(f1863,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(f1(X8,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)),X9,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X7,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1096]) ).

fof(f1864,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X4,X5),f15(f20(closure(X0,X1,X2),X3),X5,X6,X7,X4),X8,X9)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1418]) ).

fof(f1865,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f10(X8,intersection_of_sets(X7,X4),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1103]) ).

fof(f1866,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),f6(intersection_of_sets(X7,X4),X10,f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9))
      | ~ element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X8,X9))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1812,f1070]) ).

fof(f1870,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f6(union_of_members(X3),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2),X5,X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1374,f1418]) ).

fof(f1871,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(union_of_members(X4),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1374,f1103]) ).

fof(f1872,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(union_of_members(X5),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1374,f1070]) ).

fof(f1873,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f6(union_of_members(X3),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2),X5,X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1376,f1418]) ).

fof(f1874,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(union_of_members(X4),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1376,f1103]) ).

fof(f1875,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(union_of_members(X5),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1376,f1070]) ).

fof(f1883,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X11),X12)
      | eq_p(f20(intersection_of_members(X11),X12),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7))
      | element_of_set(f15(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10,intersection_of_sets(X7,X4)),intersection_of_sets(intersection_of_sets(X7,X4),X8)) ),
    inference(resolution,[status(thm)],[f1555,f1864]) ).

fof(f1884,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X11),X12)
      | eq_p(f20(intersection_of_members(X11),X12),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7))
      | element_of_set(f15(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10,intersection_of_sets(X7,X4)),intersection_of_sets(intersection_of_sets(X7,X4),X8)) ),
    inference(resolution,[status(thm)],[f1555,f1844]) ).

fof(f1885,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),f20(interior(X0,X1,X2),X3))
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X4,X5,X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3))),intersection_of_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)) ),
    inference(resolution,[status(thm)],[f1555,f1471]) ).

fof(f1886,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),f19(interior(X0,X1,X2),X3))
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X4,X5,X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3))),intersection_of_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)) ),
    inference(resolution,[status(thm)],[f1555,f1431]) ).

fof(f1887,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f20(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(union_of_members(X6),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(union_of_members(X6),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1555,f1873]) ).

fof(f1888,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(union_of_members(X6),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(union_of_members(X6),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1555,f1870]) ).

fof(f1889,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),f20(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1555,f1468]) ).

fof(f1890,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(intersection_of_sets(X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(intersection_of_sets(X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1555,f1428]) ).

fof(f1891,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(f1(X6,f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X6,f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1555,f1427]) ).

fof(f1892,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(interior(X0,X1,X2),X3))
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X4,X5,X6,f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4)) ),
    inference(resolution,[status(thm)],[f1555,f1430]) ).

fof(f1897,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0)),intersection_of_sets(f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1515]) ).

fof(f1898,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1))),intersection_of_sets(f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1555,f1495]) ).

fof(f1899,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1))),intersection_of_sets(f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1555,f1455]) ).

fof(f1900,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f10(X5,f1(X6,X0),X0),X0)),intersection_of_sets(f10(X4,f10(X5,f1(X6,X0),X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1516]) ).

fof(f1901,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f10(X5,union_of_members(X6),X0),X0)),intersection_of_sets(f10(X4,f10(X5,union_of_members(X6),X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1517]) ).

fof(f1902,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1))),intersection_of_sets(f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1555,f1496]) ).

fof(f1903,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1))),intersection_of_sets(f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1555,f1456]) ).

fof(f1904,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f1(X5,X0),X0)),intersection_of_sets(f10(X4,f1(X5,X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1518]) ).

fof(f1905,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,union_of_members(X5),X0)),intersection_of_sets(f10(X4,union_of_members(X5),X0),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1519]) ).

fof(f1906,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,f10(X5,X0,f20(X0,X1))),intersection_of_sets(f10(X5,X0,f20(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1555,f1497]) ).

fof(f1907,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,f10(X5,X0,f19(X0,X1))),intersection_of_sets(f10(X5,X0,f19(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1555,f1457]) ).

fof(f1908,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),X0)
      | element_of_set(f15(X0,X1,X2,X3,f1(X4,X0)),intersection_of_sets(f1(X4,X0),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1521]) ).

fof(f1909,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),X0)
      | element_of_set(f15(X0,X1,X2,X3,union_of_members(X4)),intersection_of_sets(union_of_members(X4),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1522]) ).

fof(f1910,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1443]) ).

fof(f1911,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f20(cx,X4))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f20(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1444]) ).

fof(f1912,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1445]) ).

fof(f1913,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f19(cx,X4))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f19(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1446]) ).

fof(f1914,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1483]) ).

fof(f1915,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f20(cx,X4))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f20(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1484]) ).

fof(f1916,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1485]) ).

fof(f1917,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f19(cx,X4))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f19(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1486]) ).

fof(f1918,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f19(intersection_of_members(X4),X5),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X4),X5),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1487]) ).

fof(f1919,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f19(intersection_of_members(X4),X5),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X4),X5),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1447]) ).

fof(f1920,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f19(cx,X4),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f19(cx,X4),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1488]) ).

fof(f1921,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f19(cx,X4),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f19(cx,X4),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1448]) ).

fof(f1922,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f20(intersection_of_members(X4),X5),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X4),X5),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1489]) ).

fof(f1923,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f20(intersection_of_members(X4),X5),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X4),X5),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1449]) ).

fof(f1924,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f20(cx,X4),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f20(cx,X4),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1490]) ).

fof(f1925,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f20(cx,X4),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f20(cx,X4),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1555,f1450]) ).

fof(f1929,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f20(intersection_of_members(X0),X1))
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),intersection_of_sets(X5,X2)) ),
    inference(resolution,[status(thm)],[f1555,f1491]) ).

fof(f1930,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,X0),intersection_of_sets(X0,X2)) ),
    inference(resolution,[status(thm)],[f1555,f1498]) ).

fof(f1931,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(closure(X0,X1,X2),X3))
      | element_of_set(f15(f19(closure(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X7,X4)) ),
    inference(resolution,[status(thm)],[f1555,f1674]) ).

fof(f1932,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(boundary(X0,X1,X2),X3))
      | element_of_set(f15(f19(boundary(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X7,X4)) ),
    inference(resolution,[status(thm)],[f1555,f1626]) ).

fof(f1933,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f20(intersection_of_members(X6),X7),f19(intersection_of_members(X0),X1))
      | element_of_set(f15(f19(intersection_of_members(X0),X1),X2,X3,X4,X5),intersection_of_sets(X5,X2)) ),
    inference(resolution,[status(thm)],[f1555,f1451]) ).

fof(f1934,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f20(intersection_of_members(X5),X6),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,X0),intersection_of_sets(X0,X2)) ),
    inference(resolution,[status(thm)],[f1555,f1458]) ).

fof(f1935,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X12,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1390]) ).

fof(f1936,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X11,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1378]) ).

fof(f1937,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X11,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1144]) ).

fof(f1938,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f1(X9,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X10,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1138]) ).

fof(f1939,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,union_of_members(X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X10,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1136]) ).

fof(f1940,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f1(X8,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X9,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1134]) ).

fof(f1941,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,union_of_members(X8),f15(X2,X3,X4,X5,union_of_members(X6))),X9,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1132]) ).

fof(f1942,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(union_of_members(X7),X8,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1097]) ).

fof(f1943,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X16,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1236]) ).

fof(f1944,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X15,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1214]) ).

fof(f1945,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X14,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1196]) ).

fof(f1946,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X13,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1168]) ).

fof(f1947,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X12,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1162]) ).

fof(f1948,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),X11,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1160]) ).

fof(f1949,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),X10,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1095]) ).

fof(f1950,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f1(X7,f15(X2,X3,X4,X5,union_of_members(X6))),X8,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1096]) ).

fof(f1951,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X3),X4),f15(X2,X4,X5,X6,union_of_members(X3)),X7,X8)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1418]) ).

fof(f1952,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f10(X7,intersection_of_sets(union_of_members(X6),X3),f15(X2,X3,X4,X5,union_of_members(X6))))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1103]) ).

fof(f1953,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(intersection_of_sets(union_of_members(X6),X3),X9,f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8))
      | ~ element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),intersection_of_sets(X7,X8))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1909,f1070]) ).

fof(f1954,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X11),X12)
      | eq_p(f19(intersection_of_members(X11),X12),f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7))
      | element_of_set(f15(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10,intersection_of_sets(X7,X4)),intersection_of_sets(intersection_of_sets(X7,X4),X8)) ),
    inference(resolution,[status(thm)],[f1556,f1864]) ).

fof(f1955,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X11),X12)
      | eq_p(f19(intersection_of_members(X11),X12),f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7))
      | element_of_set(f15(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),X8,X9,X10,intersection_of_sets(X7,X4)),intersection_of_sets(intersection_of_sets(X7,X4),X8)) ),
    inference(resolution,[status(thm)],[f1556,f1844]) ).

fof(f1956,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),f20(interior(X0,X1,X2),X3))
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X4,X5,X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3))),intersection_of_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)) ),
    inference(resolution,[status(thm)],[f1556,f1471]) ).

fof(f1957,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),f19(interior(X0,X1,X2),X3))
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X4,X5,X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3))),intersection_of_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)) ),
    inference(resolution,[status(thm)],[f1556,f1431]) ).

fof(f1958,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f20(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(union_of_members(X6),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(union_of_members(X6),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1556,f1873]) ).

fof(f1959,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(union_of_members(X6),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(union_of_members(X6),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1556,f1870]) ).

fof(f1960,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),f20(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1556,f1468]) ).

fof(f1961,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(intersection_of_sets(X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(intersection_of_sets(X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1556,f1428]) ).

fof(f1962,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(f1(X6,f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X6,f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)) ),
    inference(resolution,[status(thm)],[f1556,f1427]) ).

fof(f1963,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(interior(X0,X1,X2),X3))
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X4,X5,X6,f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4)) ),
    inference(resolution,[status(thm)],[f1556,f1430]) ).

fof(f1968,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0)),intersection_of_sets(f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1515]) ).

fof(f1969,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1))),intersection_of_sets(f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1556,f1495]) ).

fof(f1970,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1))),intersection_of_sets(f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1556,f1455]) ).

fof(f1971,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f10(X5,f1(X6,X0),X0),X0)),intersection_of_sets(f10(X4,f10(X5,f1(X6,X0),X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1516]) ).

fof(f1972,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f10(X5,union_of_members(X6),X0),X0)),intersection_of_sets(f10(X4,f10(X5,union_of_members(X6),X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1517]) ).

fof(f1973,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1))),intersection_of_sets(f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1556,f1496]) ).

fof(f1974,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1))),intersection_of_sets(f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1556,f1456]) ).

fof(f1975,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f1(X5,X0),X0)),intersection_of_sets(f10(X4,f1(X5,X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1518]) ).

fof(f1976,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,union_of_members(X5),X0)),intersection_of_sets(f10(X4,union_of_members(X5),X0),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1519]) ).

fof(f1977,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,f10(X5,X0,f20(X0,X1))),intersection_of_sets(f10(X5,X0,f20(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1556,f1497]) ).

fof(f1978,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,f10(X5,X0,f19(X0,X1))),intersection_of_sets(f10(X5,X0,f19(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f1556,f1457]) ).

fof(f1979,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),X0)
      | element_of_set(f15(X0,X1,X2,X3,f1(X4,X0)),intersection_of_sets(f1(X4,X0),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1521]) ).

fof(f1980,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),X0)
      | element_of_set(f15(X0,X1,X2,X3,union_of_members(X4)),intersection_of_sets(union_of_members(X4),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1522]) ).

fof(f1981,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1443]) ).

fof(f1982,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f20(cx,X4))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f20(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1444]) ).

fof(f1983,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1445]) ).

fof(f1984,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f17(cx,ct,f19(cx,X0),f19(cx,X4))),intersection_of_sets(f17(cx,ct,f19(cx,X0),f19(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1446]) ).

fof(f1985,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1483]) ).

fof(f1986,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f20(cx,X4))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f20(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1484]) ).

fof(f1987,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X4),X5))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X4),X5)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1485]) ).

fof(f1988,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f17(cx,ct,f20(cx,X0),f19(cx,X4))),intersection_of_sets(f17(cx,ct,f20(cx,X0),f19(cx,X4)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1486]) ).

fof(f1989,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f19(intersection_of_members(X4),X5),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X4),X5),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1487]) ).

fof(f1990,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f19(intersection_of_members(X4),X5),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X4),X5),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1447]) ).

fof(f1991,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f19(cx,X4),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f19(cx,X4),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1488]) ).

fof(f1992,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f19(cx,X4),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f19(cx,X4),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1448]) ).

fof(f1993,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f20(intersection_of_members(X4),X5),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X4),X5),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1489]) ).

fof(f1994,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f20(intersection_of_members(X4),X5),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X4),X5),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1449]) ).

fof(f1995,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f20(cx,X0))
      | element_of_set(f15(f20(cx,X0),X1,X2,X3,f18(cx,ct,f20(cx,X4),f20(cx,X0))),intersection_of_sets(f18(cx,ct,f20(cx,X4),f20(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1490]) ).

fof(f1996,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f19(cx,X0))
      | element_of_set(f15(f19(cx,X0),X1,X2,X3,f18(cx,ct,f20(cx,X4),f19(cx,X0))),intersection_of_sets(f18(cx,ct,f20(cx,X4),f19(cx,X0)),X1)) ),
    inference(resolution,[status(thm)],[f1556,f1450]) ).

fof(f2000,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f20(intersection_of_members(X0),X1))
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),intersection_of_sets(X5,X2)) ),
    inference(resolution,[status(thm)],[f1556,f1491]) ).

fof(f2001,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,X0),intersection_of_sets(X0,X2)) ),
    inference(resolution,[status(thm)],[f1556,f1498]) ).

fof(f2002,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(closure(X0,X1,X2),X3))
      | element_of_set(f15(f19(closure(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X7,X4)) ),
    inference(resolution,[status(thm)],[f1556,f1674]) ).

fof(f2003,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(boundary(X0,X1,X2),X3))
      | element_of_set(f15(f19(boundary(X0,X1,X2),X3),X4,X5,X6,X7),intersection_of_sets(X7,X4)) ),
    inference(resolution,[status(thm)],[f1556,f1626]) ).

fof(f2004,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X6),X7)
      | eq_p(f19(intersection_of_members(X6),X7),f19(intersection_of_members(X0),X1))
      | element_of_set(f15(f19(intersection_of_members(X0),X1),X2,X3,X4,X5),intersection_of_sets(X5,X2)) ),
    inference(resolution,[status(thm)],[f1556,f1451]) ).

fof(f2005,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X5),X6)
      | eq_p(f19(intersection_of_members(X5),X6),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,X0),intersection_of_sets(X0,X2)) ),
    inference(resolution,[status(thm)],[f1556,f1458]) ).

fof(f2006,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X12,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1390]) ).

fof(f2007,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X11,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1378]) ).

fof(f2008,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X11,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1144]) ).

fof(f2009,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,f1(X9,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X10,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1138]) ).

fof(f2010,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f10(X8,union_of_members(X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X10,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1136]) ).

fof(f2011,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,f1(X8,f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X9,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1134]) ).

fof(f2012,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X7,union_of_members(X8),f15(X2,X3,X4,X5,union_of_members(X6))),X9,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1132]) ).

fof(f2013,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(union_of_members(X7),X8,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1097]) ).

fof(f2014,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X16,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1236]) ).

fof(f2015,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X15,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1214]) ).

fof(f2016,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X14,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1196]) ).

fof(f2017,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f10(X12,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X13,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1168]) ).

fof(f2018,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f10(X11,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),f15(X2,X3,X4,X5,union_of_members(X6))),X12,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1162]) ).

fof(f2019,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f10(X10,f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),f15(X2,X3,X4,X5,union_of_members(X6))),X11,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1160]) ).

fof(f2020,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9)
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f16(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9),X10,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1095]) ).

fof(f2021,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(f1(X7,f15(X2,X3,X4,X5,union_of_members(X6))),X8,f15(X2,X3,X4,X5,union_of_members(X6)),union_of_members(X6),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1096]) ).

fof(f2022,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X3),X4),f15(X2,X4,X5,X6,union_of_members(X3)),X7,X8)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1418]) ).

fof(f2023,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f10(X7,intersection_of_sets(union_of_members(X6),X3),f15(X2,X3,X4,X5,union_of_members(X6))))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1103]) ).

fof(f2024,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),f6(intersection_of_sets(union_of_members(X6),X3),X9,f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8))
      | ~ element_of_set(f15(X2,X3,X4,X5,union_of_members(X6)),intersection_of_sets(X7,X8))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1980,f1070]) ).

fof(f2025,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),intersection_of_sets(union_of_members(X5),X2)) ),
    inference(resolution,[status(thm)],[f1980,f1139]) ).

fof(f2026,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),intersection_of_sets(union_of_members(X5),X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2025]) ).

fof(f2027,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,f10(X7,f10(X8,f10(X9,f1(X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X11,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1390]) ).

fof(f2028,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,f10(X7,f10(X8,f1(X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1378]) ).

fof(f2029,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,f10(X7,f10(X8,union_of_members(X9),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1144]) ).

fof(f2030,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,f10(X7,f1(X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1138]) ).

fof(f2031,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,f10(X7,union_of_members(X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1136]) ).

fof(f2032,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,f1(X7,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1134]) ).

fof(f2033,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X6,union_of_members(X7),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1132]) ).

fof(f2034,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(union_of_members(X6),X7,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1097]) ).

fof(f2035,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X15,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1236]) ).

fof(f2036,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X14,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1214]) ).

fof(f2037,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X13,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1196]) ).

fof(f2038,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X9,f10(X10,f10(X11,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X12,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1168]) ).

fof(f2039,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X9,f10(X10,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X11,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1162]) ).

fof(f2040,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f10(X9,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1160]) ).

fof(f2041,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8),X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1095]) ).

fof(f2042,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(f1(X6,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))),X7,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),union_of_members(X5),X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1096]) ).

fof(f2043,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X2),X3),f15(f20(intersection_of_members(X0),X1),X3,X4,X5,union_of_members(X2)),X6,X7)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1418]) ).

fof(f2044,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f10(X6,intersection_of_sets(union_of_members(X5),X2),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5))))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1103]) ).

fof(f2045,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),f6(intersection_of_sets(union_of_members(X5),X2),X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7))
      | ~ element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2026,f1070]) ).

fof(f2046,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f19(intersection_of_members(X9),X10),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)))
      | element_of_set(f15(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8,intersection_of_sets(union_of_members(X5),X2)),intersection_of_sets(intersection_of_sets(union_of_members(X5),X2),X6))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2043,f1556]) ).

fof(f2047,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f20(intersection_of_members(X9),X10),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)))
      | element_of_set(f15(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,union_of_members(X5)),X6,X7,X8,intersection_of_sets(union_of_members(X5),X2)),intersection_of_sets(intersection_of_sets(union_of_members(X5),X2),X6))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2043,f1555]) ).

fof(f2049,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X12,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1390]) ).

fof(f2050,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X11,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1378]) ).

fof(f2051,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X11,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1144]) ).

fof(f2052,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f1(X9,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X10,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1138]) ).

fof(f2053,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,union_of_members(X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X10,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1136]) ).

fof(f2054,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f1(X8,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X9,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1134]) ).

fof(f2055,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,union_of_members(X8),f15(X2,X3,X4,X5,f1(X6,X2))),X9,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1132]) ).

fof(f2056,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(union_of_members(X7),X8,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1097]) ).

fof(f2057,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X16,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1236]) ).

fof(f2058,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X15,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1214]) ).

fof(f2059,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X14,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1196]) ).

fof(f2060,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X13,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1168]) ).

fof(f2061,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X12,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1162]) ).

fof(f2062,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),X11,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1160]) ).

fof(f2063,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),X10,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1095]) ).

fof(f2064,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f1(X7,f15(X2,X3,X4,X5,f1(X6,X2))),X8,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1096]) ).

fof(f2065,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(f1(X3,X2),X4),f15(X2,X4,X5,X6,f1(X3,X2)),X7,X8)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1418]) ).

fof(f2066,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f10(X7,intersection_of_sets(f1(X6,X2),X3),f15(X2,X3,X4,X5,f1(X6,X2))))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1103]) ).

fof(f2067,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(intersection_of_sets(f1(X6,X2),X3),X9,f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8))
      | ~ element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),intersection_of_sets(X7,X8))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1908,f1070]) ).

fof(f2068,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f19(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,union_of_members(X6)))
      | element_of_set(f15(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9,intersection_of_sets(union_of_members(X6),X3)),intersection_of_sets(intersection_of_sets(union_of_members(X6),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1951,f1556]) ).

fof(f2069,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f20(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,union_of_members(X6)))
      | element_of_set(f15(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9,intersection_of_sets(union_of_members(X6),X3)),intersection_of_sets(intersection_of_sets(union_of_members(X6),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1951,f1555]) ).

fof(f2071,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X12,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1390]) ).

fof(f2072,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X11,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1378]) ).

fof(f2073,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X11,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1144]) ).

fof(f2074,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,f1(X9,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X10,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1138]) ).

fof(f2075,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f10(X8,union_of_members(X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X10,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1136]) ).

fof(f2076,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,f1(X8,f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X9,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1134]) ).

fof(f2077,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X7,union_of_members(X8),f15(X2,X3,X4,X5,f1(X6,X2))),X9,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1132]) ).

fof(f2078,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(union_of_members(X7),X8,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1097]) ).

fof(f2079,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X16,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1236]) ).

fof(f2080,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X15,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1214]) ).

fof(f2081,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X14,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1196]) ).

fof(f2082,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f10(X12,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X13,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1168]) ).

fof(f2083,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f10(X11,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),f15(X2,X3,X4,X5,f1(X6,X2))),X12,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1162]) ).

fof(f2084,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f10(X10,f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),f15(X2,X3,X4,X5,f1(X6,X2))),X11,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1160]) ).

fof(f2085,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9)
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f16(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9),X10,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1095]) ).

fof(f2086,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(f1(X7,f15(X2,X3,X4,X5,f1(X6,X2))),X8,f15(X2,X3,X4,X5,f1(X6,X2)),f1(X6,X2),X3))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1096]) ).

fof(f2087,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(f1(X3,X2),X4),f15(X2,X4,X5,X6,f1(X3,X2)),X7,X8)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1418]) ).

fof(f2088,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f10(X7,intersection_of_sets(f1(X6,X2),X3),f15(X2,X3,X4,X5,f1(X6,X2))))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1103]) ).

fof(f2089,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),f6(intersection_of_sets(f1(X6,X2),X3),X9,f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8))
      | ~ element_of_set(f15(X2,X3,X4,X5,f1(X6,X2)),intersection_of_sets(X7,X8))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1979,f1070]) ).

fof(f2090,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,f1(X5,f20(intersection_of_members(X0),X1))),intersection_of_sets(f1(X5,f20(intersection_of_members(X0),X1)),X2)) ),
    inference(resolution,[status(thm)],[f1979,f1139]) ).

fof(f2091,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,f1(X5,f20(intersection_of_members(X0),X1))),intersection_of_sets(f1(X5,f20(intersection_of_members(X0),X1)),X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2090]) ).

fof(f2093,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f19(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,union_of_members(X6)))
      | element_of_set(f15(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9,intersection_of_sets(union_of_members(X6),X3)),intersection_of_sets(intersection_of_sets(union_of_members(X6),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f2022,f1556]) ).

fof(f2094,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f20(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,union_of_members(X6)))
      | element_of_set(f15(f15(X2,X3,X4,X5,union_of_members(X6)),X7,X8,X9,intersection_of_sets(union_of_members(X6),X3)),intersection_of_sets(intersection_of_sets(union_of_members(X6),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f2022,f1555]) ).

fof(f2097,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),intersection_of_sets(X5,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1554,f1491]) ).

fof(f2098,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f20(intersection_of_members(X0),X1),X3,X6,X7,f16(X2,X3,X4,X5)),X2)
      | limit_point(X2,X3,X4,X5)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f796]) ).

fof(f2099,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,f10(X7,f10(X8,f10(X9,f1(X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X11,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1390]) ).

fof(f2100,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,f10(X7,f10(X8,f1(X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1378]) ).

fof(f2101,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,f10(X7,f10(X8,union_of_members(X9),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1144]) ).

fof(f2102,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,f10(X7,f1(X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1138]) ).

fof(f2103,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,f10(X7,union_of_members(X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1136]) ).

fof(f2104,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,f1(X7,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1134]) ).

fof(f2105,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X6,union_of_members(X7),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1132]) ).

fof(f2106,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(union_of_members(X6),X7,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1097]) ).

fof(f2107,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X15,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1236]) ).

fof(f2108,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X9,f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X14,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1214]) ).

fof(f2109,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X9,f10(X10,f10(X11,f10(X12,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X13,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1196]) ).

fof(f2110,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X9,f10(X10,f10(X11,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X12,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1168]) ).

fof(f2111,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X9,f10(X10,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X11,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1162]) ).

fof(f2112,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f10(X9,f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X10,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1160]) ).

fof(f2113,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f16(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8),X9,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1095]) ).

fof(f2114,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(f1(X6,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)),X7,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X5,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1096]) ).

fof(f2115,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X2,X3),f15(f20(intersection_of_members(X0),X1),X3,X4,X5,X2),X6,X7)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1418]) ).

fof(f2116,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f10(X6,intersection_of_sets(X5,X2),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5)))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1103]) ).

fof(f2117,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),f6(intersection_of_sets(X5,X2),X8,f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7))
      | ~ element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2097,f1070]) ).

fof(f2118,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f19(intersection_of_members(X9),X10),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5))
      | element_of_set(f15(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8,intersection_of_sets(X5,X2)),intersection_of_sets(intersection_of_sets(X5,X2),X6))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2115,f1556]) ).

fof(f2119,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f20(intersection_of_members(X9),X10),f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5))
      | element_of_set(f15(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),X6,X7,X8,intersection_of_sets(X5,X2)),intersection_of_sets(intersection_of_sets(X5,X2),X6))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2115,f1555]) ).

fof(f2121,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f19(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,f1(X6,X2)))
      | element_of_set(f15(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9,intersection_of_sets(f1(X6,X2),X3)),intersection_of_sets(intersection_of_sets(f1(X6,X2),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f2065,f1556]) ).

fof(f2122,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f20(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,f1(X6,X2)))
      | element_of_set(f15(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9,intersection_of_sets(f1(X6,X2),X3)),intersection_of_sets(intersection_of_sets(f1(X6,X2),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f2065,f1555]) ).

fof(f2125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f19(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,f1(X6,X2)))
      | element_of_set(f15(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9,intersection_of_sets(f1(X6,X2),X3)),intersection_of_sets(intersection_of_sets(f1(X6,X2),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f2087,f1556]) ).

fof(f2126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X10),X11)
      | eq_p(f20(intersection_of_members(X10),X11),f15(X2,X3,X4,X5,f1(X6,X2)))
      | element_of_set(f15(f15(X2,X3,X4,X5,f1(X6,X2)),X7,X8,X9,intersection_of_sets(f1(X6,X2),X3)),intersection_of_sets(intersection_of_sets(f1(X6,X2),X3),X7))
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f2087,f1555]) ).

fof(f2132,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f2087]) ).

fof(f2133,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f2065]) ).

fof(f2134,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f2022]) ).

fof(f2135,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1951]) ).

fof(f2136,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9),X10,X11,X12,intersection_of_sets(X9,X6)),intersection_of_sets(intersection_of_sets(X9,X6),X10))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f2115]) ).

fof(f2137,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1864]) ).

fof(f2138,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f19(boundary(X0,X1,X2),X3),f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1844]) ).

fof(f2139,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f20(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X8))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(interior(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1471]) ).

fof(f2140,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1431]) ).

fof(f2141,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1873]) ).

fof(f2142,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1870]) ).

fof(f2143,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1468]) ).

fof(f2144,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1428]) ).

fof(f2145,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1427]) ).

fof(f2146,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7))),intersection_of_sets(f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1430]) ).

fof(f2152,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1515]) ).

fof(f2153,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1495]) ).

fof(f2154,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1455]) ).

fof(f2155,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f1(X10,X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f1(X10,X4),X4),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1516]) ).

fof(f2156,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,union_of_members(X10),X4),X4)),intersection_of_sets(f10(X8,f10(X9,union_of_members(X10),X4),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1517]) ).

fof(f2157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1496]) ).

fof(f2158,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1456]) ).

fof(f2159,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f1(X9,X4),X4)),intersection_of_sets(f10(X8,f1(X9,X4),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1518]) ).

fof(f2160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,union_of_members(X9),X4)),intersection_of_sets(f10(X8,union_of_members(X9),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1519]) ).

fof(f2161,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,X4,f20(X4,X5))),intersection_of_sets(f10(X9,X4,f20(X4,X5)),X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1497]) ).

fof(f2162,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,X4,f19(X4,X5))),intersection_of_sets(f10(X9,X4,f19(X4,X5)),X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1457]) ).

fof(f2163,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),intersection_of_sets(f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1521]) ).

fof(f2164,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1522]) ).

fof(f2165,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1443]) ).

fof(f2166,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(cx,X8)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1444]) ).

fof(f2167,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1445]) ).

fof(f2168,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(cx,X8)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1446]) ).

fof(f2169,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1483]) ).

fof(f2170,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(cx,X8)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1484]) ).

fof(f2171,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1485]) ).

fof(f2172,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(cx,X8)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1486]) ).

fof(f2173,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1487]) ).

fof(f2174,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1447]) ).

fof(f2175,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f20(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1488]) ).

fof(f2176,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f19(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1448]) ).

fof(f2177,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1489]) ).

fof(f2178,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1449]) ).

fof(f2179,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f20(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1490]) ).

fof(f2180,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f19(cx,X4)),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1450]) ).

fof(f2185,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1498]) ).

fof(f2186,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f19(closure(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1674]) ).

fof(f2187,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f19(boundary(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1626]) ).

fof(f2188,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f19(intersection_of_members(X4),X5),X6,X7,X8,X9),intersection_of_sets(X9,X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(intersection_of_members(X4),X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1451]) ).

fof(f2189,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1803,f1458]) ).

fof(f2191,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f1(X13,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1390]) ).

fof(f2192,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f1(X12,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1378]) ).

fof(f2193,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,union_of_members(X12),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1144]) ).

fof(f2194,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f1(X11,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1138]) ).

fof(f2195,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,union_of_members(X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1136]) ).

fof(f2196,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f1(X10,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1134]) ).

fof(f2197,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,union_of_members(X10),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1132]) ).

fof(f2198,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(union_of_members(X9),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1097]) ).

fof(f2199,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f10(X17,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X18,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1236]) ).

fof(f2200,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X17,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1214]) ).

fof(f2201,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X16,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1196]) ).

fof(f2202,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X15,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1168]) ).

fof(f2203,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1162]) ).

fof(f2204,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1160]) ).

fof(f2205,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1095]) ).

fof(f2206,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f1(X9,f15(X4,X5,X6,X7,union_of_members(X8))),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1096]) ).

fof(f2207,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X5),X6),f15(X4,X6,X7,X8,union_of_members(X5)),X9,X10)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1418]) ).

fof(f2208,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f10(X9,intersection_of_sets(union_of_members(X8),X5),f15(X4,X5,X6,X7,union_of_members(X8))))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1103]) ).

fof(f2209,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(intersection_of_sets(union_of_members(X8),X5),X11,f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10))
      | ~ element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(X9,X10))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2164,f1070]) ).

fof(f2211,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f2087]) ).

fof(f2212,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f2065]) ).

fof(f2213,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f2022]) ).

fof(f2214,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1951]) ).

fof(f2215,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9),X10,X11,X12,intersection_of_sets(X9,X6)),intersection_of_sets(intersection_of_sets(X9,X6),X10))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f2115]) ).

fof(f2216,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1864]) ).

fof(f2217,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f19(closure(X0,X1,X2),X3),f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1844]) ).

fof(f2218,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f20(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X8))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(interior(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1471]) ).

fof(f2219,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1431]) ).

fof(f2220,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1873]) ).

fof(f2221,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1870]) ).

fof(f2222,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1468]) ).

fof(f2223,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1428]) ).

fof(f2224,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1427]) ).

fof(f2225,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7))),intersection_of_sets(f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1430]) ).

fof(f2231,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1515]) ).

fof(f2232,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1495]) ).

fof(f2233,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1455]) ).

fof(f2234,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f1(X10,X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f1(X10,X4),X4),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1516]) ).

fof(f2235,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,union_of_members(X10),X4),X4)),intersection_of_sets(f10(X8,f10(X9,union_of_members(X10),X4),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1517]) ).

fof(f2236,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1496]) ).

fof(f2237,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1456]) ).

fof(f2238,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f1(X9,X4),X4)),intersection_of_sets(f10(X8,f1(X9,X4),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1518]) ).

fof(f2239,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,union_of_members(X9),X4)),intersection_of_sets(f10(X8,union_of_members(X9),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1519]) ).

fof(f2240,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,X4,f20(X4,X5))),intersection_of_sets(f10(X9,X4,f20(X4,X5)),X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1497]) ).

fof(f2241,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,X4,f19(X4,X5))),intersection_of_sets(f10(X9,X4,f19(X4,X5)),X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1457]) ).

fof(f2242,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),intersection_of_sets(f1(X8,X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1521]) ).

fof(f2243,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1522]) ).

fof(f2244,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1443]) ).

fof(f2245,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(cx,X8)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1444]) ).

fof(f2246,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1445]) ).

fof(f2247,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(cx,X8)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1446]) ).

fof(f2248,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1483]) ).

fof(f2249,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(cx,X8)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1484]) ).

fof(f2250,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1485]) ).

fof(f2251,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(cx,X8)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1486]) ).

fof(f2252,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1487]) ).

fof(f2253,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1447]) ).

fof(f2254,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f20(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1488]) ).

fof(f2255,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f19(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1448]) ).

fof(f2256,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1489]) ).

fof(f2257,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1449]) ).

fof(f2258,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f20(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1490]) ).

fof(f2259,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f19(cx,X4)),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1450]) ).

fof(f2264,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1498]) ).

fof(f2265,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f19(closure(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1674]) ).

fof(f2266,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f19(boundary(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1626]) ).

fof(f2267,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f19(intersection_of_members(X4),X5),X6,X7,X8,X9),intersection_of_sets(X9,X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(intersection_of_members(X4),X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1451]) ).

fof(f2268,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1808,f1458]) ).

fof(f2270,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f1(X13,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1390]) ).

fof(f2271,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f1(X12,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1378]) ).

fof(f2272,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,union_of_members(X12),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1144]) ).

fof(f2273,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f1(X11,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1138]) ).

fof(f2274,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,union_of_members(X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1136]) ).

fof(f2275,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f1(X10,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1134]) ).

fof(f2276,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,union_of_members(X10),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1132]) ).

fof(f2277,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(union_of_members(X9),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1097]) ).

fof(f2278,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f10(X17,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X18,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1236]) ).

fof(f2279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X17,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1214]) ).

fof(f2280,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X16,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1196]) ).

fof(f2281,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X15,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1168]) ).

fof(f2282,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1162]) ).

fof(f2283,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1160]) ).

fof(f2284,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1095]) ).

fof(f2285,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f1(X9,f15(X4,X5,X6,X7,union_of_members(X8))),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1096]) ).

fof(f2286,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X5),X6),f15(X4,X6,X7,X8,union_of_members(X5)),X9,X10)
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1418]) ).

fof(f2287,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f10(X9,intersection_of_sets(union_of_members(X8),X5),f15(X4,X5,X6,X7,union_of_members(X8))))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1103]) ).

fof(f2288,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(intersection_of_sets(union_of_members(X8),X5),X11,f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10))
      | ~ element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(X9,X10))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2243,f1070]) ).

fof(f2290,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f2087]) ).

fof(f2291,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f2065]) ).

fof(f2292,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f2022]) ).

fof(f2293,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1951]) ).

fof(f2294,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9),X10,X11,X12,intersection_of_sets(X9,X6)),intersection_of_sets(intersection_of_sets(X9,X6),X10))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f2115]) ).

fof(f2295,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1864]) ).

fof(f2296,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f20(boundary(X0,X1,X2),X3),f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1844]) ).

fof(f2297,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f20(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X8))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(interior(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1471]) ).

fof(f2298,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1431]) ).

fof(f2299,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1873]) ).

fof(f2300,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1870]) ).

fof(f2301,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1468]) ).

fof(f2302,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1428]) ).

fof(f2303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1427]) ).

fof(f2304,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7))),intersection_of_sets(f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1430]) ).

fof(f2310,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1515]) ).

fof(f2311,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1495]) ).

fof(f2312,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1455]) ).

fof(f2313,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f1(X10,X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f1(X10,X4),X4),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1516]) ).

fof(f2314,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,union_of_members(X10),X4),X4)),intersection_of_sets(f10(X8,f10(X9,union_of_members(X10),X4),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1517]) ).

fof(f2315,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1496]) ).

fof(f2316,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1456]) ).

fof(f2317,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f1(X9,X4),X4)),intersection_of_sets(f10(X8,f1(X9,X4),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1518]) ).

fof(f2318,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,union_of_members(X9),X4)),intersection_of_sets(f10(X8,union_of_members(X9),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1519]) ).

fof(f2319,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,X4,f20(X4,X5))),intersection_of_sets(f10(X9,X4,f20(X4,X5)),X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1497]) ).

fof(f2320,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,X4,f19(X4,X5))),intersection_of_sets(f10(X9,X4,f19(X4,X5)),X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1457]) ).

fof(f2321,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),intersection_of_sets(f1(X8,X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1521]) ).

fof(f2322,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1522]) ).

fof(f2323,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1443]) ).

fof(f2324,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(cx,X8)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1444]) ).

fof(f2325,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1445]) ).

fof(f2326,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(cx,X8)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1446]) ).

fof(f2327,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1483]) ).

fof(f2328,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(cx,X8)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1484]) ).

fof(f2329,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1485]) ).

fof(f2330,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(cx,X8)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1486]) ).

fof(f2331,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1487]) ).

fof(f2332,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1447]) ).

fof(f2333,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f20(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1488]) ).

fof(f2334,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f19(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1448]) ).

fof(f2335,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1489]) ).

fof(f2336,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1449]) ).

fof(f2337,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f20(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1490]) ).

fof(f2338,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f19(cx,X4)),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1450]) ).

fof(f2343,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1498]) ).

fof(f2344,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f19(closure(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1674]) ).

fof(f2345,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f19(boundary(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1626]) ).

fof(f2346,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f19(intersection_of_members(X4),X5),X6,X7,X8,X9),intersection_of_sets(X9,X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(intersection_of_members(X4),X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1451]) ).

fof(f2347,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f20(boundary(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1813,f1458]) ).

fof(f2348,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f1(X13,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1390]) ).

fof(f2349,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f1(X12,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1378]) ).

fof(f2350,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,union_of_members(X12),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1144]) ).

fof(f2351,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f1(X11,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1138]) ).

fof(f2352,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,union_of_members(X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1136]) ).

fof(f2353,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f1(X10,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1134]) ).

fof(f2354,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,union_of_members(X10),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1132]) ).

fof(f2355,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(union_of_members(X9),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1097]) ).

fof(f2356,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f10(X17,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X18,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1236]) ).

fof(f2357,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X17,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1214]) ).

fof(f2358,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X16,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1196]) ).

fof(f2359,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X15,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1168]) ).

fof(f2360,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1162]) ).

fof(f2361,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1160]) ).

fof(f2362,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1095]) ).

fof(f2363,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f1(X9,f15(X4,X5,X6,X7,union_of_members(X8))),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1096]) ).

fof(f2364,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X5),X6),f15(X4,X6,X7,X8,union_of_members(X5)),X9,X10)
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1418]) ).

fof(f2365,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f10(X9,intersection_of_sets(union_of_members(X8),X5),f15(X4,X5,X6,X7,union_of_members(X8))))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1103]) ).

fof(f2366,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(intersection_of_sets(union_of_members(X8),X5),X11,f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10))
      | ~ element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(X9,X10))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2322,f1070]) ).

fof(f2367,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f2087]) ).

fof(f2368,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11,intersection_of_sets(f1(X8,X4),X5)),intersection_of_sets(intersection_of_sets(f1(X8,X4),X5),X9))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,f1(X8,X4)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f2065]) ).

fof(f2369,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f19(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f2022]) ).

fof(f2370,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X12),X13)
      | eq_p(f20(intersection_of_members(X12),X13),X4)
      | element_of_set(f15(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11,intersection_of_sets(union_of_members(X8),X5)),intersection_of_sets(intersection_of_sets(union_of_members(X8),X5),X9))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(X4,X5,X6,X7,union_of_members(X8)))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1951]) ).

fof(f2371,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9),X10,X11,X12,intersection_of_sets(X9,X6)),intersection_of_sets(intersection_of_sets(X9,X6),X10))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(f20(intersection_of_members(X4),X5),X6,X7,X8,X9))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f2115]) ).

fof(f2372,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(f20(closure(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1864]) ).

fof(f2373,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11),X12,X13,X14,intersection_of_sets(X11,X8)),intersection_of_sets(intersection_of_sets(X11,X8),X12))
      | eq_p(f20(closure(X0,X1,X2),X3),f15(f20(boundary(X4,X5,X6),X7),X8,X9,X10,X11))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1844]) ).

fof(f2374,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f20(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X8))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(interior(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1471]) ).

fof(f2375,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7))),intersection_of_sets(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1431]) ).

fof(f2376,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1873]) ).

fof(f2377,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(union_of_members(X10),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1870]) ).

fof(f2378,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f20(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f20(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1468]) ).

fof(f2379,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(intersection_of_sets(X4,X5),X10,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1428]) ).

fof(f2380,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X4,X5),X6)
      | element_of_set(f15(f19(intersection_of_sets(X4,X5),X6),X7,X8,X9,f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5)),intersection_of_sets(f6(f1(X10,f19(intersection_of_sets(X4,X5),X6)),X11,f19(intersection_of_sets(X4,X5),X6),X4,X5),X7))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(intersection_of_sets(X4,X5),X6))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1427]) ).

fof(f2381,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X4,X5,X6),X7)
      | element_of_set(f15(f19(interior(X4,X5,X6),X7),X8,X9,X10,f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7))),intersection_of_sets(f10(X11,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),f19(interior(X4,X5,X6),X7)),X8))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(interior(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1430]) ).

fof(f2387,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f10(X10,union_of_members(X11),X4),X4),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1515]) ).

fof(f2388,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f20(X4,X5)),f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1495]) ).

fof(f2389,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,f10(X11,X4,f19(X4,X5)),f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1455]) ).

fof(f2390,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,f1(X10,X4),X4),X4)),intersection_of_sets(f10(X8,f10(X9,f1(X10,X4),X4),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1516]) ).

fof(f2391,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f10(X9,union_of_members(X10),X4),X4)),intersection_of_sets(f10(X8,f10(X9,union_of_members(X10),X4),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1517]) ).

fof(f2392,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f20(X4,X5)),f20(X4,X5)),X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1496]) ).

fof(f2393,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5))),intersection_of_sets(f10(X9,f10(X10,X4,f19(X4,X5)),f19(X4,X5)),X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1456]) ).

fof(f2394,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f1(X9,X4),X4)),intersection_of_sets(f10(X8,f1(X9,X4),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1518]) ).

fof(f2395,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,union_of_members(X9),X4)),intersection_of_sets(f10(X8,union_of_members(X9),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1519]) ).

fof(f2396,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,f10(X9,X4,f20(X4,X5))),intersection_of_sets(f10(X9,X4,f20(X4,X5)),X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1497]) ).

fof(f2397,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,f10(X9,X4,f19(X4,X5))),intersection_of_sets(f10(X9,X4,f19(X4,X5)),X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1457]) ).

fof(f2398,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),intersection_of_sets(f1(X8,X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1521]) ).

fof(f2399,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1522]) ).

fof(f2400,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1443]) ).

fof(f2401,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f20(cx,X8)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1444]) ).

fof(f2402,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1445]) ).

fof(f2403,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f19(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f17(cx,ct,f19(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f19(cx,X4),f19(cx,X8)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1446]) ).

fof(f2404,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f20(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1483]) ).

fof(f2405,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f20(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f20(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f20(cx,X8)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1484]) ).

fof(f2406,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(cx,X4),f19(intersection_of_members(X8),X9))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(intersection_of_members(X8),X9)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1485]) ).

fof(f2407,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X8)
      | eq_p(f20(cx,X4),f19(cx,X8))
      | hausdorff(cx,X4)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f17(cx,ct,f20(cx,X4),f19(cx,X8))),intersection_of_sets(f17(cx,ct,f20(cx,X4),f19(cx,X8)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1486]) ).

fof(f2408,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1487]) ).

fof(f2409,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1447]) ).

fof(f2410,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f20(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1488]) ).

fof(f2411,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f19(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f19(cx,X8),f19(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1448]) ).

fof(f2412,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f20(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f20(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1489]) ).

fof(f2413,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(intersection_of_members(X8),X9),f19(cx,X4))
      | hausdorff(intersection_of_members(X8),X9)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(intersection_of_members(X8),X9),f19(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1449]) ).

fof(f2414,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f20(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f20(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f20(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f20(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1490]) ).

fof(f2415,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X8),f19(cx,X4))
      | hausdorff(cx,X8)
      | element_of_set(f15(f19(cx,X4),X5,X6,X7,f18(cx,ct,f20(cx,X8),f19(cx,X4))),intersection_of_sets(f18(cx,ct,f20(cx,X8),f19(cx,X4)),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1450]) ).

fof(f2420,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f20(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f20(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1498]) ).

fof(f2421,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | element_of_set(f15(f19(closure(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1674]) ).

fof(f2422,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | element_of_set(f15(f19(boundary(X4,X5,X6),X7),X8,X9,X10,X11),intersection_of_sets(X11,X8))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1626]) ).

fof(f2423,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f15(f19(intersection_of_members(X4),X5),X6,X7,X8,X9),intersection_of_sets(X9,X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(intersection_of_members(X4),X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1451]) ).

fof(f2424,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X4,X5)
      | element_of_set(f15(f19(X4,X5),X6,X7,X8,X4),intersection_of_sets(X4,X6))
      | eq_p(f20(closure(X0,X1,X2),X3),f19(X4,X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1814,f1458]) ).

fof(f2425,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f1(X13,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1390]) ).

fof(f2426,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,f1(X12,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1378]) ).

fof(f2427,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f10(X11,union_of_members(X12),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1144]) ).

fof(f2428,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,f1(X11,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1138]) ).

fof(f2429,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f10(X10,union_of_members(X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1136]) ).

fof(f2430,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,f1(X10,f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1134]) ).

fof(f2431,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X9,union_of_members(X10),f15(X4,X5,X6,X7,union_of_members(X8))),X11,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1132]) ).

fof(f2432,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(union_of_members(X9),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1097]) ).

fof(f2433,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f10(X17,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X18,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1236]) ).

fof(f2434,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X17,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1214]) ).

fof(f2435,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X16,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1196]) ).

fof(f2436,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f10(X14,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X15,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1168]) ).

fof(f2437,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f10(X13,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),f15(X4,X5,X6,X7,union_of_members(X8))),X14,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1162]) ).

fof(f2438,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f10(X12,f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),f15(X4,X5,X6,X7,union_of_members(X8))),X13,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1160]) ).

fof(f2439,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11)
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f16(f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10,X11),X12,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1095]) ).

fof(f2440,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(f1(X9,f15(X4,X5,X6,X7,union_of_members(X8))),X10,f15(X4,X5,X6,X7,union_of_members(X8)),union_of_members(X8),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1096]) ).

fof(f2441,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(union_of_members(X5),X6),f15(X4,X6,X7,X8,union_of_members(X5)),X9,X10)
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1418]) ).

fof(f2442,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f10(X9,intersection_of_sets(union_of_members(X8),X5),f15(X4,X5,X6,X7,union_of_members(X8))))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1103]) ).

fof(f2443,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),f6(intersection_of_sets(union_of_members(X8),X5),X11,f15(X4,X5,X6,X7,union_of_members(X8)),X9,X10))
      | ~ element_of_set(f15(X4,X5,X6,X7,union_of_members(X8)),intersection_of_sets(X9,X10))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2399,f1070]) ).

fof(f2444,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f20(f16(X2,X3,X4,X5),X6),X3,X7,X8,f16(X2,X3,X4,X5)),X2)
      | limit_point(X2,X3,X4,X5)
      | hausdorff(f16(X2,X3,X4,X5),X6)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(f16(X2,X3,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f1930,f796]) ).

fof(f2445,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X12,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1390]) ).

fof(f2446,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X11,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1378]) ).

fof(f2447,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X11,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1144]) ).

fof(f2448,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f1(X9,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X10,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1138]) ).

fof(f2449,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,union_of_members(X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X10,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1136]) ).

fof(f2450,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f1(X8,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X9,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1134]) ).

fof(f2451,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,union_of_members(X8),f15(f20(X2,X3),X4,X5,X6,X2)),X9,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1132]) ).

fof(f2452,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(union_of_members(X7),X8,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1097]) ).

fof(f2453,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X16,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1236]) ).

fof(f2454,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X15,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1214]) ).

fof(f2455,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X14,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1196]) ).

fof(f2456,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X13,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1168]) ).

fof(f2457,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X12,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1162]) ).

fof(f2458,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),X11,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1160]) ).

fof(f2459,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),X10,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1095]) ).

fof(f2460,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f1(X7,f15(f20(X2,X3),X4,X5,X6,X2)),X8,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1096]) ).

fof(f2461,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X2,X4),f15(f20(X2,X3),X4,X5,X6,X2),X7,X8)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1418]) ).

fof(f2462,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f10(X7,intersection_of_sets(X2,X4),f15(f20(X2,X3),X4,X5,X6,X2)))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1103]) ).

fof(f2463,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(intersection_of_sets(X2,X4),X9,f15(f20(X2,X3),X4,X5,X6,X2),X7,X8))
      | ~ element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),intersection_of_sets(X7,X8))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f1930,f1070]) ).

fof(f2464,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f19(f16(X2,X3,X4,X5),X6),X3,X7,X8,f16(X2,X3,X4,X5)),X2)
      | limit_point(X2,X3,X4,X5)
      | hausdorff(f16(X2,X3,X4,X5),X6)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(f16(X2,X3,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f1934,f796]) ).

fof(f2465,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X12,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1390]) ).

fof(f2466,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X11,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1378]) ).

fof(f2467,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X11,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1144]) ).

fof(f2468,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f1(X9,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X10,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1138]) ).

fof(f2469,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,union_of_members(X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X10,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1136]) ).

fof(f2470,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f1(X8,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X9,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1134]) ).

fof(f2471,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,union_of_members(X8),f15(f19(X2,X3),X4,X5,X6,X2)),X9,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1132]) ).

fof(f2472,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(union_of_members(X7),X8,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1097]) ).

fof(f2473,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X16,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1236]) ).

fof(f2474,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X15,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1214]) ).

fof(f2475,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X14,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1196]) ).

fof(f2476,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X13,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1168]) ).

fof(f2477,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X12,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1162]) ).

fof(f2478,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),X11,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1160]) ).

fof(f2479,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),X10,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1095]) ).

fof(f2480,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f1(X7,f15(f19(X2,X3),X4,X5,X6,X2)),X8,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1096]) ).

fof(f2481,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X2,X4),f15(f19(X2,X3),X4,X5,X6,X2),X7,X8)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1418]) ).

fof(f2482,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f10(X7,intersection_of_sets(X2,X4),f15(f19(X2,X3),X4,X5,X6,X2)))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1103]) ).

fof(f2483,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(intersection_of_sets(X2,X4),X9,f15(f19(X2,X3),X4,X5,X6,X2),X7,X8))
      | ~ element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),intersection_of_sets(X7,X8))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f1934,f1070]) ).

fof(f2484,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f20(f16(X2,X3,X4,X5),X6),X3,X7,X8,f16(X2,X3,X4,X5)),X2)
      | limit_point(X2,X3,X4,X5)
      | hausdorff(f16(X2,X3,X4,X5),X6)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(f16(X2,X3,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f2001,f796]) ).

fof(f2485,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X12,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1390]) ).

fof(f2486,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X11,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1378]) ).

fof(f2487,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X11,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1144]) ).

fof(f2488,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f1(X9,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X10,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1138]) ).

fof(f2489,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,union_of_members(X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X10,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1136]) ).

fof(f2490,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,f1(X8,f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X9,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1134]) ).

fof(f2491,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X7,union_of_members(X8),f15(f20(X2,X3),X4,X5,X6,X2)),X9,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1132]) ).

fof(f2492,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(union_of_members(X7),X8,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1097]) ).

fof(f2493,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X16,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1236]) ).

fof(f2494,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X15,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1214]) ).

fof(f2495,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X14,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1196]) ).

fof(f2496,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X13,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1168]) ).

fof(f2497,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),f15(f20(X2,X3),X4,X5,X6,X2)),X12,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1162]) ).

fof(f2498,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f10(X10,f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f20(X2,X3),X4,X5,X6,X2)),X11,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1160]) ).

fof(f2499,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f16(f15(f20(X2,X3),X4,X5,X6,X2),X7,X8,X9),X10,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1095]) ).

fof(f2500,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(f1(X7,f15(f20(X2,X3),X4,X5,X6,X2)),X8,f15(f20(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1096]) ).

fof(f2501,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X2,X4),f15(f20(X2,X3),X4,X5,X6,X2),X7,X8)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1418]) ).

fof(f2502,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f10(X7,intersection_of_sets(X2,X4),f15(f20(X2,X3),X4,X5,X6,X2)))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1103]) ).

fof(f2503,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),f6(intersection_of_sets(X2,X4),X9,f15(f20(X2,X3),X4,X5,X6,X2),X7,X8))
      | ~ element_of_set(f15(f20(X2,X3),X4,X5,X6,X2),intersection_of_sets(X7,X8))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f20(X2,X3)) ),
    inference(resolution,[status(thm)],[f2001,f1070]) ).

fof(f2506,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f15(f19(f16(X2,X3,X4,X5),X6),X3,X7,X8,f16(X2,X3,X4,X5)),X2)
      | limit_point(X2,X3,X4,X5)
      | hausdorff(f16(X2,X3,X4,X5),X6)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(f16(X2,X3,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f2005,f796]) ).

fof(f2507,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f10(X10,f1(X11,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X12,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1390]) ).

fof(f2508,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,f1(X10,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X11,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1378]) ).

fof(f2509,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f10(X9,union_of_members(X10),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X11,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1144]) ).

fof(f2510,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,f1(X9,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X10,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1138]) ).

fof(f2511,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f10(X8,union_of_members(X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X10,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1136]) ).

fof(f2512,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,f1(X8,f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X9,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1134]) ).

fof(f2513,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X7,union_of_members(X8),f15(f19(X2,X3),X4,X5,X6,X2)),X9,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1132]) ).

fof(f2514,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(union_of_members(X7),X8,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1097]) ).

fof(f2515,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X16,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1236]) ).

fof(f2516,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f10(X14,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X15,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1214]) ).

fof(f2517,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f10(X13,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X14,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1196]) ).

fof(f2518,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f10(X12,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X13,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1168]) ).

fof(f2519,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f10(X11,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),f15(f19(X2,X3),X4,X5,X6,X2)),X12,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1162]) ).

fof(f2520,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f10(X10,f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),f15(f19(X2,X3),X4,X5,X6,X2)),X11,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1160]) ).

fof(f2521,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9)
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f16(f15(f19(X2,X3),X4,X5,X6,X2),X7,X8,X9),X10,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1095]) ).

fof(f2522,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(f1(X7,f15(f19(X2,X3),X4,X5,X6,X2)),X8,f15(f19(X2,X3),X4,X5,X6,X2),X2,X4))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1096]) ).

fof(f2523,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(X2,X4),f15(f19(X2,X3),X4,X5,X6,X2),X7,X8)
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1418]) ).

fof(f2524,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f10(X7,intersection_of_sets(X2,X4),f15(f19(X2,X3),X4,X5,X6,X2)))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1103]) ).

fof(f2525,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),f6(intersection_of_sets(X2,X4),X9,f15(f19(X2,X3),X4,X5,X6,X2),X7,X8))
      | ~ element_of_set(f15(f19(X2,X3),X4,X5,X6,X2),intersection_of_sets(X7,X8))
      | hausdorff(X2,X3)
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),f19(X2,X3)) ),
    inference(resolution,[status(thm)],[f2005,f1070]) ).

fof(f2527,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,f10(X10,f10(X11,f10(X12,f1(X13,f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X14,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1390]) ).

fof(f2528,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,f10(X10,f10(X11,f1(X12,f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X13,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1378]) ).

fof(f2529,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,f10(X10,f10(X11,union_of_members(X12),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X13,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1144]) ).

fof(f2530,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,f10(X10,f1(X11,f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X12,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1138]) ).

fof(f2531,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,f10(X10,union_of_members(X11),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X12,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1136]) ).

fof(f2532,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,f1(X10,f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X11,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1134]) ).

fof(f2533,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X9,union_of_members(X10),f15(X4,X5,X6,X7,f1(X8,X4))),X11,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1132]) ).

fof(f2534,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(union_of_members(X9),X10,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1097]) ).

fof(f2535,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f10(X17,f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X18,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1236]) ).

fof(f2536,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f10(X16,f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X17,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1214]) ).

fof(f2537,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X12,f10(X13,f10(X14,f10(X15,f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X16,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1196]) ).

fof(f2538,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X12,f10(X13,f10(X14,f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X15,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1168]) ).

fof(f2539,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X12,f10(X13,f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),f15(X4,X5,X6,X7,f1(X8,X4))),f15(X4,X5,X6,X7,f1(X8,X4))),X14,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1162]) ).

fof(f2540,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f10(X12,f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),f15(X4,X5,X6,X7,f1(X8,X4))),X13,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1160]) ).

fof(f2541,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | limit_point(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11)
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f16(f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10,X11),X12,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1095]) ).

fof(f2542,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(f1(X9,f15(X4,X5,X6,X7,f1(X8,X4))),X10,f15(X4,X5,X6,X7,f1(X8,X4)),f1(X8,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1096]) ).

fof(f2543,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(intersection_of_sets(f1(X5,X4),X6),f15(X4,X6,X7,X8,f1(X5,X4)),X9,X10)
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1418]) ).

fof(f2544,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f10(X9,intersection_of_sets(f1(X8,X4),X5),f15(X4,X5,X6,X7,f1(X8,X4))))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1103]) ).

fof(f2545,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),f6(intersection_of_sets(f1(X8,X4),X5),X11,f15(X4,X5,X6,X7,f1(X8,X4)),X9,X10))
      | ~ element_of_set(f15(X4,X5,X6,X7,f1(X8,X4)),intersection_of_sets(X9,X10))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2163,f1070]) ).

fof(f2547,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f20(closure(X3,X4,X5),X6),f20(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1467,f1814]) ).

fof(f2548,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f20(boundary(X3,X4,X5),X6),f20(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1467,f1813]) ).

fof(f2549,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f19(closure(X3,X4,X5),X6),f20(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1467,f1808]) ).

fof(f2550,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X10,f20(intersection_of_sets(X0,X1),X2)),X11,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f19(boundary(X3,X4,X5),X6),f20(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1467,f1803]) ).

fof(f2551,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f20(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1467,f1556]) ).

fof(f2552,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f20(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1467,f1555]) ).

fof(f2554,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X8))
      | eq_p(f20(closure(X4,X5,X6),X7),f20(interior(X0,X1,X2),X3))
      | hausdorff(closure(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1470,f1814]) ).

fof(f2555,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X8))
      | eq_p(f20(boundary(X4,X5,X6),X7),f20(interior(X0,X1,X2),X3))
      | hausdorff(boundary(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1470,f1813]) ).

fof(f2556,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X8))
      | eq_p(f19(closure(X4,X5,X6),X7),f20(interior(X0,X1,X2),X3))
      | hausdorff(closure(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1470,f1808]) ).

fof(f2557,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X8))
      | eq_p(f19(boundary(X4,X5,X6),X7),f20(interior(X0,X1,X2),X3))
      | hausdorff(boundary(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1470,f1803]) ).

fof(f2558,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f20(interior(X0,X1,X2),X3))
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X4,X5,X6,f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X4))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1470,f1556]) ).

fof(f2559,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f20(interior(X0,X1,X2),X3))
      | element_of_set(f15(f20(interior(X0,X1,X2),X3),X4,X5,X6,f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X4))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1470,f1555]) ).

fof(f2561,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X3,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1264,f745]) ).

fof(f2562,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X3,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2561]) ).

fof(f2563,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X3,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1266,f744]) ).

fof(f2564,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X3,intersection_of_sets(X0,X1),f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2563]) ).

fof(f2565,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f10(X3,f10(X4,f6(f1(X5,f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2),X7,X8)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1287,f1418]) ).

fof(f2566,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f10(X5,f6(f1(X6,f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1287,f1103]) ).

fof(f2567,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X5,f10(X6,f6(f1(X7,f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X9,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1287,f1070]) ).

fof(f2568,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(f1(X4,f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1288,f745]) ).

fof(f2569,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(f1(X4,f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2568]) ).

fof(f2570,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f10(X3,f10(X4,f6(f1(X5,f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2),X7,X8)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1289,f1418]) ).

fof(f2571,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f10(X4,f10(X5,f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1289,f1103]) ).

fof(f2572,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X5,f10(X6,f6(f1(X7,f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X9,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1289,f1070]) ).

fof(f2573,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(f1(X4,f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1290,f744]) ).

fof(f2574,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X3,f6(f1(X4,f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2573]) ).

fof(f2575,plain,
    ( ~ sQ4_spl
    | open_covering(f23(cx,ct,f24(cx,ct)),cx,ct)
    | ~ compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f300,f261]) ).

fof(f2576,plain,
    ( ~ sQ4_spl
    | subset_collections(f23(cx,ct,f24(cx,ct)),f24(cx,ct))
    | ~ compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f300,f260]) ).

fof(f2577,plain,
    ( ~ sQ4_spl
    | finite(f23(cx,ct,f24(cx,ct)))
    | ~ compact_space(cx,ct) ),
    inference(resolution,[status(thm)],[f300,f259]) ).

fof(f2578,plain,
    ( ~ sQ4_spl
    | subset_collections(f24(cx,ct),ct) ),
    inference(resolution,[status(thm)],[f300,f253]) ).

fof(f2579,definition,
    ( sQ54_spl
  <=> open_covering(f23(cx,ct,f24(cx,ct)),cx,ct) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f2580,plain,
    ( ~ sQ54_spl
    | open_covering(f23(cx,ct,f24(cx,ct)),cx,ct) ),
    inference(component_clause,[status(thm)],[f2579]) ).

fof(f2582,plain,
    ( ~ sQ4_spl
    | sQ54_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2575,f296,f2579,f299]) ).

fof(f2583,definition,
    ( sQ55_spl
  <=> subset_collections(f23(cx,ct,f24(cx,ct)),f24(cx,ct)) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f2584,plain,
    ( ~ sQ55_spl
    | subset_collections(f23(cx,ct,f24(cx,ct)),f24(cx,ct)) ),
    inference(component_clause,[status(thm)],[f2583]) ).

fof(f2586,plain,
    ( ~ sQ4_spl
    | sQ55_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2576,f296,f2583,f299]) ).

fof(f2587,definition,
    ( sQ56_spl
  <=> finite(f23(cx,ct,f24(cx,ct))) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f2588,plain,
    ( ~ sQ56_spl
    | finite(f23(cx,ct,f24(cx,ct))) ),
    inference(component_clause,[status(thm)],[f2587]) ).

fof(f2590,plain,
    ( ~ sQ4_spl
    | sQ56_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f2577,f296,f2587,f299]) ).

fof(f2591,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ4_spl
      | ~ equal_sets(union_of_members(f24(cx,ct)),X0)
      | open_covering(f24(cx,ct),X0,ct) ),
    inference(resolution,[status(thm)],[f2578,f1533]) ).

fof(f2592,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ4_spl
      | finer(ct,f24(cx,ct),X0) ),
    inference(resolution,[status(thm)],[f2578,f981]) ).

fof(f2593,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ4_spl
      | open_covering(f24(cx,ct),X0,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2591,f761]) ).

fof(f2594,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ4_spl
      | open_covering(f23(X0,ct,f24(cx,ct)),X0,ct)
      | ~ compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f2593,f261]) ).

fof(f2595,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ4_spl
      | subset_collections(f23(X0,ct,f24(cx,ct)),f24(cx,ct))
      | ~ compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f2593,f260]) ).

fof(f2596,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ4_spl
      | finite(f23(X0,ct,f24(cx,ct)))
      | ~ compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f2593,f259]) ).

fof(f2599,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ17_spl
      | ~ sQ7_spl
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1550,f967]) ).

fof(f2600,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,X0),interior(X5,X6,X7)) ),
    inference(resolution,[status(thm)],[f2599,f2005]) ).

fof(f2601,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(X0,X1))
      | element_of_set(f15(f19(X0,X1),X2,X3,X4,X0),interior(X5,X6,X7)) ),
    inference(resolution,[status(thm)],[f2599,f1934]) ).

fof(f2602,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f15(f20(intersection_of_members(X0),X1),X2,X3,X4,X5),interior(X6,X7,X8)) ),
    inference(resolution,[status(thm)],[f2599,f2097]) ).

fof(f2603,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f15(f20(closure(X0,X1,X2),X3),X4,X5,X6,X7),interior(X8,X9,X10)) ),
    inference(resolution,[status(thm)],[f2599,f1812]) ).

fof(f2604,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | element_of_set(f15(f20(boundary(X0,X1,X2),X3),X4,X5,X6,X7),interior(X8,X9,X10)) ),
    inference(resolution,[status(thm)],[f2599,f1807]) ).

fof(f2605,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,X0),interior(X5,X6,X7)) ),
    inference(resolution,[status(thm)],[f2599,f2001]) ).

fof(f2606,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f20(X0,X1))
      | element_of_set(f15(f20(X0,X1),X2,X3,X4,X0),interior(X5,X6,X7)) ),
    inference(resolution,[status(thm)],[f2599,f1930]) ).

fof(f2618,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1259]) ).

fof(f2619,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1263]) ).

fof(f2621,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1205]) ).

fof(f2623,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X6,X7,X8)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1170]) ).

fof(f2625,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X6,X7,X8)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1198]) ).

fof(f2626,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1254]) ).

fof(f2627,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1222]) ).

fof(f2629,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1176]) ).

fof(f2630,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(X4,X5,X6)) ),
    inference(resolution,[status(thm)],[f2599,f1247]) ).

fof(f2631,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(X4,X5,X6)) ),
    inference(resolution,[status(thm)],[f2599,f1104]) ).

fof(f2632,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(X4,X5,X6)) ),
    inference(resolution,[status(thm)],[f2599,f986]) ).

fof(f2634,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1112]) ).

fof(f2635,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1113]) ).

fof(f2636,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1110]) ).

fof(f2637,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1111]) ).

fof(f2638,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1108]) ).

fof(f2639,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1109]) ).

fof(f2640,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1106]) ).

fof(f2641,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1107]) ).

fof(f2642,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1024]) ).

fof(f2643,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f927]) ).

fof(f2644,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1023]) ).

fof(f2645,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f19(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f926]) ).

fof(f2646,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1012]) ).

fof(f2647,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f917]) ).

fof(f2648,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f19(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f993]) ).

fof(f2649,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f19(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f19(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f914]) ).

fof(f2651,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1277]) ).

fof(f2652,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1231]) ).

fof(f2653,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1201]) ).

fof(f2654,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1163]) ).

fof(f2655,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1155]) ).

fof(f2656,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1115]) ).

fof(f2657,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f745]) ).

fof(f2660,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1261]) ).

fof(f2661,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1265]) ).

fof(f2663,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1207]) ).

fof(f2665,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X6,X7,X8)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1172]) ).

fof(f2667,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X6,X7,X8)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1200]) ).

fof(f2668,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1258]) ).

fof(f2669,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1226]) ).

fof(f2671,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),interior(X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f2599,f1180]) ).

fof(f2672,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(X4,X5,X6)) ),
    inference(resolution,[status(thm)],[f2599,f1249]) ).

fof(f2673,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(X4,X5,X6)) ),
    inference(resolution,[status(thm)],[f2599,f1116]) ).

fof(f2674,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(X4,X5,X6)) ),
    inference(resolution,[status(thm)],[f2599,f988]) ).

fof(f2676,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1124]) ).

fof(f2677,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1125]) ).

fof(f2678,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1122]) ).

fof(f2679,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1123]) ).

fof(f2680,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1120]) ).

fof(f2681,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1121]) ).

fof(f2682,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1118]) ).

fof(f2683,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1119]) ).

fof(f2684,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1021]) ).

fof(f2685,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f924]) ).

fof(f2686,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1020]) ).

fof(f2687,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f923]) ).

fof(f2688,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1014]) ).

fof(f2689,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f918]) ).

fof(f2690,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1007]) ).

fof(f2691,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | element_of_set(f20(cx,X0),interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f915]) ).

fof(f2693,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1279]) ).

fof(f2694,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1233]) ).

fof(f2695,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1203]) ).

fof(f2696,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1165]) ).

fof(f2697,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1157]) ).

fof(f2698,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f1127]) ).

fof(f2699,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),interior(X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f2599,f744]) ).

fof(f2700,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1128]) ).

fof(f2701,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1159]) ).

fof(f2702,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1137]) ).

fof(f2708,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1299]) ).

fof(f2709,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1281]) ).

fof(f2710,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1267]) ).

fof(f2711,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1235]) ).

fof(f2712,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1213]) ).

fof(f2713,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1195]) ).

fof(f2714,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1167]) ).

fof(f2715,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f1161]) ).

fof(f2721,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2599,f794]) ).

fof(f2724,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,f13(X1,X2,X3,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f179,f2702]) ).

fof(f2725,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(interior(X0,X1,X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f2702,f1418]) ).

fof(f2726,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X1,interior(X2,X3,X4),X0)) ),
    inference(resolution,[status(thm)],[f2702,f1103]) ).

fof(f2727,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(interior(X3,X4,X5),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f2702,f1070]) ).

fof(f2728,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f13(X0,X1,X2,X3),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f2724,f1418]) ).

fof(f2729,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X1,f13(X2,X3,X4,X0),X0)) ),
    inference(resolution,[status(thm)],[f2724,f1103]) ).

fof(f2730,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f13(X3,X4,X5,X0),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f2724,f1070]) ).

fof(f2731,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f10(X0,f13(X1,X2,X3,X4),X4),X4,X5,X6) ),
    inference(resolution,[status(thm)],[f2729,f1418]) ).

fof(f2732,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X1,f10(X2,f13(X3,X4,X5,X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f2729,f1103]) ).

fof(f2733,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f13(X4,X5,X6,X0),X0),X7,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f2729,f1070]) ).

fof(f2734,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,interior(X8,X9,X10)),intersection_of_sets(interior(X8,X9,X10),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2725,f1814]) ).

fof(f2735,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,interior(X8,X9,X10)),intersection_of_sets(interior(X8,X9,X10),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2725,f1813]) ).

fof(f2736,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,interior(X8,X9,X10)),intersection_of_sets(interior(X8,X9,X10),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2725,f1808]) ).

fof(f2737,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,interior(X8,X9,X10)),intersection_of_sets(interior(X8,X9,X10),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2725,f1803]) ).

fof(f2738,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,interior(X4,X5,X6)),intersection_of_sets(interior(X4,X5,X6),X1)) ),
    inference(resolution,[status(thm)],[f2725,f1556]) ).

fof(f2739,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,interior(X4,X5,X6)),intersection_of_sets(interior(X4,X5,X6),X1)) ),
    inference(resolution,[status(thm)],[f2725,f1555]) ).

fof(f2741,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f13(X8,X9,X10,X4)),intersection_of_sets(f13(X8,X9,X10,X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2728,f1814]) ).

fof(f2742,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f13(X8,X9,X10,X4)),intersection_of_sets(f13(X8,X9,X10,X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2728,f1813]) ).

fof(f2743,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f13(X8,X9,X10,X4)),intersection_of_sets(f13(X8,X9,X10,X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2728,f1808]) ).

fof(f2744,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f13(X8,X9,X10,X4)),intersection_of_sets(f13(X8,X9,X10,X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2728,f1803]) ).

fof(f2745,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f19(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,f13(X4,X5,X6,X0)),intersection_of_sets(f13(X4,X5,X6,X0),X1)) ),
    inference(resolution,[status(thm)],[f2728,f1556]) ).

fof(f2746,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X7),X8)
      | eq_p(f20(intersection_of_members(X7),X8),X0)
      | element_of_set(f15(X0,X1,X2,X3,f13(X4,X5,X6,X0)),intersection_of_sets(f13(X4,X5,X6,X0),X1)) ),
    inference(resolution,[status(thm)],[f2728,f1555]) ).

fof(f2748,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f10(X0,interior(X1,X2,X3),X4),X4,X5,X6) ),
    inference(resolution,[status(thm)],[f2726,f1418]) ).

fof(f2749,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X1,f10(X2,interior(X3,X4,X5),X0),X0)) ),
    inference(resolution,[status(thm)],[f2726,f1103]) ).

fof(f2750,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,interior(X4,X5,X6),X0),X7,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f2726,f1070]) ).

fof(f2751,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,interior(X9,X10,X11),X4)),intersection_of_sets(f10(X8,interior(X9,X10,X11),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2748,f1814]) ).

fof(f2752,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,interior(X9,X10,X11),X4)),intersection_of_sets(f10(X8,interior(X9,X10,X11),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2748,f1813]) ).

fof(f2753,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,interior(X9,X10,X11),X4)),intersection_of_sets(f10(X8,interior(X9,X10,X11),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2748,f1808]) ).

fof(f2754,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,interior(X9,X10,X11),X4)),intersection_of_sets(f10(X8,interior(X9,X10,X11),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2748,f1803]) ).

fof(f2755,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,interior(X5,X6,X7),X0)),intersection_of_sets(f10(X4,interior(X5,X6,X7),X0),X1)) ),
    inference(resolution,[status(thm)],[f2748,f1556]) ).

fof(f2756,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,interior(X5,X6,X7),X0)),intersection_of_sets(f10(X4,interior(X5,X6,X7),X0),X1)) ),
    inference(resolution,[status(thm)],[f2748,f1555]) ).

fof(f2758,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f13(X9,X10,X11,X4),X4)),intersection_of_sets(f10(X8,f13(X9,X10,X11,X4),X4),X5))
      | eq_p(f20(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2731,f1814]) ).

fof(f2759,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f13(X9,X10,X11,X4),X4)),intersection_of_sets(f10(X8,f13(X9,X10,X11,X4),X4),X5))
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2731,f1813]) ).

fof(f2760,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f13(X9,X10,X11,X4),X4)),intersection_of_sets(f10(X8,f13(X9,X10,X11,X4),X4),X5))
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2731,f1808]) ).

fof(f2761,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(X4,X5,X6,X7,f10(X8,f13(X9,X10,X11,X4),X4)),intersection_of_sets(f10(X8,f13(X9,X10,X11,X4),X4),X5))
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2731,f1803]) ).

fof(f2762,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f13(X5,X6,X7,X0),X0)),intersection_of_sets(f10(X4,f13(X5,X6,X7,X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f2731,f1556]) ).

fof(f2763,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),X0)
      | element_of_set(f15(X0,X1,X2,X3,f10(X4,f13(X5,X6,X7,X0),X0)),intersection_of_sets(f10(X4,f13(X5,X6,X7,X0),X0),X1)) ),
    inference(resolution,[status(thm)],[f2731,f1555]) ).

fof(f2765,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | neighborhood(f10(X0,f10(X1,interior(X2,X3,X4),X5),X5),X5,X6,X7) ),
    inference(resolution,[status(thm)],[f2749,f1418]) ).

fof(f2766,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,interior(X4,X5,X6),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f2749,f1103]) ).

fof(f2767,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(X0,f6(f10(X3,f10(X4,interior(X5,X6,X7),X0),X0),X8,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(resolution,[status(thm)],[f2749,f1070]) ).

fof(f2771,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ 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(forward_subsumption_resolution,[status(thm)],[f214,f413]) ).

fof(f2775,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | ~ element_of_set(f19(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
      | element_of_set(f19(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f2771,f745]) ).

fof(f2779,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | ~ element_of_set(f20(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
      | element_of_set(f20(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f2771,f744]) ).

fof(f2780,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f223,f413]) ).

fof(f2781,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(interior(X3,X4,X5),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f2725]) ).

fof(f2782,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f13(X3,X4,X5,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f2728]) ).

fof(f2783,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | ~ disjoint_s(f6(union_of_members(X4),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f2780,f1870]) ).

fof(f2784,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | ~ disjoint_s(f6(intersection_of_sets(X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f2780,f1428]) ).

fof(f2785,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | ~ disjoint_s(f6(f1(X4,f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f2780,f1427]) ).

fof(f2786,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f10(X3,interior(X4,X5,X6),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f2748]) ).

fof(f2787,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f10(X3,f13(X4,X5,X6,f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f2731]) ).

fof(f2788,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X4,X5,X6)
      | ~ disjoint_s(f10(X3,f16(f19(X0,X1),X4,X5,X6),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1499]) ).

fof(f2789,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X5,X6,X7)
      | ~ disjoint_s(f10(X3,f10(X4,f16(f19(X0,X1),X5,X6,X7),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1500]) ).

fof(f2790,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X8,X9,X10)
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,f16(f19(X0,X1),X8,X9,X10),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1512]) ).

fof(f2791,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X7,X8,X9)
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,f10(X6,f16(f19(X0,X1),X7,X8,X9),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1513]) ).

fof(f2792,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X6,X7,X8)
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,f16(f19(X0,X1),X6,X7,X8),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1514]) ).

fof(f2793,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,union_of_members(X6),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1515]) ).

fof(f2794,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1455]) ).

fof(f2795,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ disjoint_s(f10(X3,f10(X4,f1(X5,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1516]) ).

fof(f2796,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ disjoint_s(f10(X3,f10(X4,union_of_members(X5),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1517]) ).

fof(f2797,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f10(X3,f10(X4,X0,f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1456]) ).

fof(f2798,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f1(X4,f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1518]) ).

fof(f2799,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ disjoint_s(f10(X3,union_of_members(X4),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1519]) ).

fof(f2800,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f10(X3,X0,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1457]) ).

fof(f2801,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ disjoint_s(f1(X3,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1521]) ).

fof(f2802,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ disjoint_s(union_of_members(X3),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1522]) ).

fof(f2803,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X2),X3))
      | hausdorff(cx,X0)
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X2),X3)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1443]) ).

fof(f2804,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X0),f20(cx,X2))
      | hausdorff(cx,X0)
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f20(cx,X2)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1444]) ).

fof(f2805,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X2),X3))
      | hausdorff(cx,X0)
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X2),X3)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1445]) ).

fof(f2806,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X0),f19(cx,X2))
      | hausdorff(cx,X0)
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f19(cx,X2)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1446]) ).

fof(f2807,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X2),X3),f19(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | ~ disjoint_s(f18(cx,ct,f19(intersection_of_members(X2),X3),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1447]) ).

fof(f2808,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X2),f19(cx,X0))
      | hausdorff(cx,X2)
      | ~ disjoint_s(f18(cx,ct,f19(cx,X2),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1448]) ).

fof(f2809,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X2),X3),f19(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | ~ disjoint_s(f18(cx,ct,f20(intersection_of_members(X2),X3),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1449]) ).

fof(f2810,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X2),f19(cx,X0))
      | hausdorff(cx,X2)
      | ~ disjoint_s(f18(cx,ct,f20(cx,X2),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2780,f1450]) ).

fof(f2811,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X3,X4,X5)
      | ~ disjoint_s(f16(f19(X0,X1),X3,X4,X5),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1520]) ).

fof(f2812,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | ~ disjoint_s(X5,X4)
      | ~ neighborhood(X4,f20(closure(X0,X1,X2),X3),closure(X0,X1,X2),X3)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2780,f1674]) ).

fof(f2813,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | ~ disjoint_s(X5,X4)
      | ~ neighborhood(X4,f20(boundary(X0,X1,X2),X3),boundary(X0,X1,X2),X3)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2780,f1626]) ).

fof(f2814,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_members(X0),X1)
      | ~ disjoint_s(X3,X2)
      | ~ neighborhood(X2,f20(intersection_of_members(X0),X1),intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2780,f1451]) ).

fof(f2815,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(X0,X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2780,f1458]) ).

fof(f2816,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(union_of_members(X4),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2783]) ).

fof(f2817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(intersection_of_sets(X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2784]) ).

fof(f2818,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(f1(X4,f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2785]) ).

fof(f2819,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2794]) ).

fof(f2820,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f10(X4,X0,f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2797]) ).

fof(f2821,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,X0,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2800]) ).

fof(f2822,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X2),X3))
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f20(intersection_of_members(X2),X3)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2803]) ).

fof(f2823,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X0),f20(cx,X2))
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f20(cx,X2)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2804]) ).

fof(f2824,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X2),X3))
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f19(intersection_of_members(X2),X3)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2805]) ).

fof(f2825,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(cx,X0),f19(cx,X2))
      | ~ disjoint_s(f17(cx,ct,f19(cx,X0),f19(cx,X2)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2806]) ).

fof(f2826,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | eq_p(f19(intersection_of_members(X2),X3),f19(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | ~ disjoint_s(f18(cx,ct,f19(intersection_of_members(X2),X3),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2807]) ).

fof(f2827,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | eq_p(f19(cx,X2),f19(cx,X0))
      | hausdorff(cx,X2)
      | ~ disjoint_s(f18(cx,ct,f19(cx,X2),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2808]) ).

fof(f2828,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | eq_p(f20(intersection_of_members(X2),X3),f19(cx,X0))
      | hausdorff(intersection_of_members(X2),X3)
      | ~ disjoint_s(f18(cx,ct,f20(intersection_of_members(X2),X3),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2809]) ).

fof(f2829,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | eq_p(f20(cx,X2),f19(cx,X0))
      | hausdorff(cx,X2)
      | ~ disjoint_s(f18(cx,ct,f20(cx,X2),f19(cx,X0)),X1)
      | ~ neighborhood(X1,f20(cx,X0),cx,X0)
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2810]) ).

fof(f2830,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(X5,X4)
      | ~ neighborhood(X4,f20(closure(X0,X1,X2),X3),closure(X0,X1,X2),X3)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f2812]) ).

fof(f2831,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(X4,X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2830,f1770]) ).

fof(f2832,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(X5,X4)
      | ~ neighborhood(X4,f20(boundary(X0,X1,X2),X3),boundary(X0,X1,X2),X3)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f2813]) ).

fof(f2833,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(X4,X5)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2832,f1722]) ).

fof(f2834,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X3,X2)
      | ~ neighborhood(X2,f20(intersection_of_members(X0),X1),intersection_of_members(X0),X1)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2814]) ).

fof(f2835,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X2,X3)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2834,f1491]) ).

fof(f2836,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X0,X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2815]) ).

fof(f2837,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f1545]) ).

fof(f2838,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f1544]) ).

fof(f2839,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f19(intersection_of_members(X4),X5)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f19(intersection_of_members(X4),X5)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(intersection_of_members(X4),X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f771]) ).

fof(f2840,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f19(cx,X4)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f19(cx,X4)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f745]) ).

fof(f2841,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f20(closure(X4,X5,X6),X7)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f20(closure(X4,X5,X6),X7)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(closure(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f1547]) ).

fof(f2842,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f1546]) ).

fof(f2843,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f20(intersection_of_members(X4),X5)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f20(intersection_of_members(X4),X5)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(intersection_of_members(X4),X5))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f767]) ).

fof(f2844,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | disjoint_s(f17(cx,ct,f19(boundary(X0,X1,X2),X3),f20(cx,X4)),f18(cx,ct,f19(boundary(X0,X1,X2),X3),f20(cx,X4)))
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1621,f744]) ).

fof(f2848,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | neighborhood(f18(cx,ct,f19(boundary(X0,X1,X2),X3),f19(cx,X4)),f19(cx,X4),cx,ct)
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1623,f745]) ).

fof(f2852,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | neighborhood(f18(cx,ct,f19(boundary(X0,X1,X2),X3),f20(cx,X4)),f20(cx,X4),cx,ct)
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1623,f744]) ).

fof(f2853,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7)))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(closure(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f1545]) ).

fof(f2854,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7)))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f1544]) ).

fof(f2855,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f19(intersection_of_members(X4),X5)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f19(intersection_of_members(X4),X5)))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(intersection_of_members(X4),X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f771]) ).

fof(f2856,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f19(cx,X4)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f19(cx,X4)))
      | eq_p(f19(closure(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f745]) ).

fof(f2857,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(closure(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f20(closure(X4,X5,X6),X7)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f20(closure(X4,X5,X6),X7)))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(closure(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f1547]) ).

fof(f2858,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7)))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f1546]) ).

fof(f2859,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f20(intersection_of_members(X4),X5)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f20(intersection_of_members(X4),X5)))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(intersection_of_members(X4),X5))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f767]) ).

fof(f2860,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | disjoint_s(f17(cx,ct,f19(closure(X0,X1,X2),X3),f20(cx,X4)),f18(cx,ct,f19(closure(X0,X1,X2),X3),f20(cx,X4)))
      | eq_p(f19(closure(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1669,f744]) ).

fof(f2861,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f10(X6,f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2),X8,X9)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1301,f1418]) ).

fof(f2862,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X6,f10(X7,f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1301,f1103]) ).

fof(f2863,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f10(X8,f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X9,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X10,f19(intersection_of_sets(X0,X1),X2),X6,X7))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1301,f1070]) ).

fof(f2864,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1302,f745]) ).

fof(f2865,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(duplicate_literals_removal,[status(thm)],[f2864]) ).

fof(f2866,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f10(X6,f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2),X8,X9)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1303,f1418]) ).

fof(f2867,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X6,f10(X7,f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1303,f1103]) ).

fof(f2868,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f10(X8,f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X9,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)),X10,f20(intersection_of_sets(X0,X1),X2),X6,X7))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X6,X7))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1303,f1070]) ).

fof(f2869,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1304,f744]) ).

fof(f2870,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f16(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f20(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(duplicate_literals_removal,[status(thm)],[f2869]) ).

fof(f2871,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | neighborhood(f10(X4,f10(X5,f10(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3),X7,X8)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1329,f1418]) ).

fof(f2872,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1329,f1103]) ).

fof(f2873,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f6(f10(X6,f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X9,f19(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f19(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1329,f1070]) ).

fof(f2874,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | neighborhood(f10(X4,f10(X5,f10(X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3),X7,X8)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1331,f1418]) ).

fof(f2875,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1331,f1103]) ).

fof(f2876,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f6(f10(X6,f10(X7,f10(X8,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),X9,f20(interior(X0,X1,X2),X3),X4,X5))
      | ~ element_of_set(f20(interior(X0,X1,X2),X3),intersection_of_sets(X4,X5))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1331,f1070]) ).

fof(f2877,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),interior(X5,X6,X7))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f2725]) ).

fof(f2878,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f13(X5,X6,X7,f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f2728]) ).

fof(f2879,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | ~ disjoint_s(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f6(union_of_members(X6),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f2811,f1873]) ).

fof(f2880,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | ~ disjoint_s(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f2811,f1468]) ).

fof(f2881,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | ~ disjoint_s(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f2811,f1467]) ).

fof(f2882,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,interior(X6,X7,X8),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f2748]) ).

fof(f2883,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f13(X6,X7,X8,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f2731]) ).

fof(f2884,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(X0,X1),X6,X7,X8)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f16(f20(X0,X1),X6,X7,X8),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1499]) ).

fof(f2885,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(X0,X1),X7,X8,X9)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f16(f20(X0,X1),X7,X8,X9),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1500]) ).

fof(f2886,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(X0,X1),X10,X11,X12)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(f20(X0,X1),X10,X11,X12),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1512]) ).

fof(f2887,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(X0,X1),X9,X10,X11)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f10(X7,f10(X8,f16(f20(X0,X1),X9,X10,X11),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1513]) ).

fof(f2888,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(X0,X1),X8,X9,X10)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f10(X7,f16(f20(X0,X1),X8,X9,X10),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1514]) ).

fof(f2889,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f10(X7,union_of_members(X8),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1515]) ).

fof(f2890,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1495]) ).

fof(f2891,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f1(X7,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1516]) ).

fof(f2892,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,union_of_members(X7),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1517]) ).

fof(f2893,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1496]) ).

fof(f2894,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f1(X6,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1518]) ).

fof(f2895,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,union_of_members(X6),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1519]) ).

fof(f2896,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,X0,f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1497]) ).

fof(f2897,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f1(X5,f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1521]) ).

fof(f2898,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),union_of_members(X5))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1522]) ).

fof(f2899,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X4),X5)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1483]) ).

fof(f2900,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f20(cx,X4))
      | hausdorff(cx,X0)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f20(cx,X4)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1484]) ).

fof(f2901,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X4),X5))
      | hausdorff(cx,X0)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X4),X5)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1485]) ).

fof(f2902,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f19(cx,X4))
      | hausdorff(cx,X0)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f19(cx,X4)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1486]) ).

fof(f2903,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f19(intersection_of_members(X4),X5),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1487]) ).

fof(f2904,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f19(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f19(cx,X4),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1488]) ).

fof(f2905,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f20(intersection_of_members(X4),X5),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1489]) ).

fof(f2906,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X0)
      | eq_p(f20(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f20(cx,X4),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f2811,f1490]) ).

fof(f2907,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f20(X0,X1),X5,X6,X7)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f16(f20(X0,X1),X5,X6,X7))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1520]) ).

fof(f2908,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | limit_point(f19(closure(X0,X1,X2),X3),X4,X5,X6)
      | ~ disjoint_s(f16(f19(closure(X0,X1,X2),X3),X4,X5,X6),X7)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2811,f1770]) ).

fof(f2909,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | limit_point(f19(boundary(X0,X1,X2),X3),X4,X5,X6)
      | ~ disjoint_s(f16(f19(boundary(X0,X1,X2),X3),X4,X5,X6),X7)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2811,f1722]) ).

fof(f2911,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),X0)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2811,f1498]) ).

fof(f2912,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | ~ disjoint_s(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f6(union_of_members(X6),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2879]) ).

fof(f2913,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | ~ disjoint_s(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f6(intersection_of_sets(X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2880]) ).

fof(f2914,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5)
      | ~ disjoint_s(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),f6(f1(X6,f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2881]) ).

fof(f2915,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2890]) ).

fof(f2916,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2893]) ).

fof(f2917,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),f10(X5,X0,f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2896]) ).

fof(f2918,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X4),X5))
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f20(intersection_of_members(X4),X5)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2899]) ).

fof(f2919,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f20(cx,X4))
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f20(cx,X4)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2900]) ).

fof(f2920,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X4),X5)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X4),X5))
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f19(intersection_of_members(X4),X5)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2901]) ).

fof(f2921,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X4)
      | eq_p(f20(cx,X0),f19(cx,X4))
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f17(cx,ct,f20(cx,X0),f19(cx,X4)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2902]) ).

fof(f2922,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | eq_p(f19(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f19(intersection_of_members(X4),X5),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2903]) ).

fof(f2923,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | eq_p(f19(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f19(cx,X4),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2904]) ).

fof(f2924,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | eq_p(f20(intersection_of_members(X4),X5),f20(cx,X0))
      | hausdorff(intersection_of_members(X4),X5)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f20(intersection_of_members(X4),X5),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2905]) ).

fof(f2925,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | eq_p(f20(cx,X4),f20(cx,X0))
      | hausdorff(cx,X4)
      | limit_point(f19(cx,X0),X1,X2,X3)
      | ~ disjoint_s(f16(f19(cx,X0),X1,X2,X3),f18(cx,ct,f20(cx,X4),f20(cx,X0)))
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2906]) ).

fof(f2926,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(closure(X0,X1,X2),X3),X4,X5,X6)
      | ~ disjoint_s(f16(f19(closure(X0,X1,X2),X3),X4,X5,X6),X7)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f2908]) ).

fof(f2927,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(boundary(X0,X1,X2),X3),X4,X5,X6)
      | ~ disjoint_s(f16(f19(boundary(X0,X1,X2),X3),X4,X5,X6),X7)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f2909]) ).

fof(f2929,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | limit_point(f19(X0,X1),X2,X3,X4)
      | ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),X0)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f2911]) ).

fof(f2930,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f6(f6(intersection_of_sets(X0,X1),X3,f19(intersection_of_sets(X0,X1),X2),X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2),X5,X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1358,f1418]) ).

fof(f2931,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f6(intersection_of_sets(X0,X1),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1358,f1103]) ).

fof(f2932,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f6(intersection_of_sets(X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1358,f1070]) ).

fof(f2933,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f6(f6(intersection_of_sets(X0,X1),X3,f20(intersection_of_sets(X0,X1),X2),X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2),X5,X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1360,f1418]) ).

fof(f2934,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f6(intersection_of_sets(X0,X1),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1360,f1103]) ).

fof(f2935,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f6(intersection_of_sets(X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1360,f1070]) ).

fof(f2936,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | neighborhood(f6(f6(f1(X3,f19(intersection_of_sets(X0,X1),X2)),X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2),X6,X7)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1362,f1418]) ).

fof(f2937,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f6(f1(X4,f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1362,f1103]) ).

fof(f2938,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f6(f1(X5,f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X8,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1362,f1070]) ).

fof(f2939,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | neighborhood(f6(f6(f1(X3,f20(intersection_of_sets(X0,X1),X2)),X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2),X6,X7)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1364,f1418]) ).

fof(f2940,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f6(f1(X4,f20(intersection_of_sets(X0,X1),X2)),X5,f20(intersection_of_sets(X0,X1),X2),X0,X1),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1364,f1103]) ).

fof(f2941,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f6(f1(X5,f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),X8,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1364,f1070]) ).

fof(f2942,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | neighborhood(f6(f10(X3,f10(X4,f1(X5,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2),X7,X8)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1400,f1418]) ).

fof(f2943,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,f10(X5,f1(X6,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1400,f1103]) ).

fof(f2944,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,f10(X6,f1(X7,f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),X9,f19(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1400,f1070]) ).

fof(f2945,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | neighborhood(f6(f10(X3,f10(X4,f1(X5,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X6,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2),X7,X8)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1402,f1418]) ).

fof(f2946,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f10(X3,f6(f10(X4,f10(X5,f1(X6,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X7,f20(intersection_of_sets(X0,X1),X2),X0,X1),f20(intersection_of_sets(X0,X1),X2)))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1402,f1103]) ).

fof(f2947,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(f6(f10(X5,f10(X6,f1(X7,f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),f20(intersection_of_sets(X0,X1),X2)),X8,f20(intersection_of_sets(X0,X1),X2),X0,X1),X9,f20(intersection_of_sets(X0,X1),X2),X3,X4))
      | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X3,X4))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1402,f1070]) ).

fof(f2948,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f10(X4,f6(f1(X5,f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f2780]) ).

fof(f2949,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f20(closure(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f1814]) ).

fof(f2950,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f20(boundary(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f1813]) ).

fof(f2951,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f19(closure(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f1808]) ).

fof(f2952,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(f1(X11,f19(intersection_of_sets(X0,X1),X2)),X12,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f19(boundary(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f1803]) ).

fof(f2953,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f19(intersection_of_members(X9),X10),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f10(X6,f6(f1(X7,f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X6,f6(f1(X7,f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f1556]) ).

fof(f2954,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ46_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f20(intersection_of_members(X9),X10),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f10(X6,f6(f1(X7,f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X6,f6(f1(X7,f19(intersection_of_sets(X0,X1),X2)),X8,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1421,f1555]) ).

fof(f2956,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f10(X4,f6(f1(X5,f19(intersection_of_sets(X0,X1),X2)),X6,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2948]) ).

fof(f2957,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f10(X4,f6(intersection_of_sets(X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f2780]) ).

fof(f2958,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f20(closure(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f1814]) ).

fof(f2959,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f20(boundary(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f1813]) ).

fof(f2960,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f19(closure(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f1808]) ).

fof(f2961,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X10,f6(intersection_of_sets(X0,X1),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7))
      | eq_p(f19(boundary(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f1803]) ).

fof(f2962,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f10(X6,f6(intersection_of_sets(X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X6,f6(intersection_of_sets(X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f1556]) ).

fof(f2963,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f10(X6,f6(intersection_of_sets(X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2))),intersection_of_sets(f10(X6,f6(intersection_of_sets(X0,X1),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1422,f1555]) ).

fof(f2965,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f10(X4,f6(intersection_of_sets(X0,X1),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),f19(intersection_of_sets(X0,X1),X2)),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2957]) ).

fof(f2966,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X6)
      | ~ neighborhood(X6,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1423,f2780]) ).

fof(f2974,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(f16(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X6)
      | ~ neighborhood(X6,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | limit_point(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5) ),
    inference(duplicate_literals_removal,[status(thm)],[f2966]) ).

fof(f2975,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(f10(X4,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f2780]) ).

fof(f2976,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f20(closure(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f1814]) ).

fof(f2977,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f20(boundary(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f1813]) ).

fof(f2978,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f19(closure(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(closure(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f1808]) ).

fof(f2979,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X7,X8,X9,f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f10(X10,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X11,f19(intersection_of_sets(X0,X1),X2),X0,X1),X7))
      | eq_p(f19(boundary(X3,X4,X5),X6),f19(intersection_of_sets(X0,X1),X2))
      | hausdorff(boundary(X3,X4,X5),X6)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f1803]) ).

fof(f2980,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f19(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(f10(X6,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f10(X6,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f1556]) ).

fof(f2981,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X8),X9)
      | eq_p(f20(intersection_of_members(X8),X9),f19(intersection_of_sets(X0,X1),X2))
      | element_of_set(f15(f19(intersection_of_sets(X0,X1),X2),X3,X4,X5,f6(f10(X6,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1)),intersection_of_sets(f6(f10(X6,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X7,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3))
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1426,f1555]) ).

fof(f2983,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ disjoint_s(f6(f10(X4,intersection_of_sets(X0,X1),f19(intersection_of_sets(X0,X1),X2)),X5,f19(intersection_of_sets(X0,X1),X2),X0,X1),X3)
      | ~ neighborhood(X3,f20(intersection_of_sets(X0,X1),X2),intersection_of_sets(X0,X1),X2)
      | hausdorff(intersection_of_sets(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f2975]) ).

fof(f2984,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X5,f10(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4)
      | ~ neighborhood(X4,f20(interior(X0,X1,X2),X3),interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f2780]) ).

fof(f2985,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X8))
      | eq_p(f20(closure(X4,X5,X6),X7),f19(interior(X0,X1,X2),X3))
      | hausdorff(closure(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f1814]) ).

fof(f2986,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X8))
      | eq_p(f20(boundary(X4,X5,X6),X7),f19(interior(X0,X1,X2),X3))
      | hausdorff(boundary(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f1813]) ).

fof(f2987,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X8))
      | eq_p(f19(closure(X4,X5,X6),X7),f19(interior(X0,X1,X2),X3))
      | hausdorff(closure(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f1808]) ).

fof(f2988,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X8,X9,X10,f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X11,f10(X12,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X8))
      | eq_p(f19(boundary(X4,X5,X6),X7),f19(interior(X0,X1,X2),X3))
      | hausdorff(boundary(X4,X5,X6),X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f1803]) ).

fof(f2989,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f19(intersection_of_members(X9),X10),f19(interior(X0,X1,X2),X3))
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X4,X5,X6,f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f1556]) ).

fof(f2990,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | hausdorff(intersection_of_members(X9),X10)
      | eq_p(f20(intersection_of_members(X9),X10),f19(interior(X0,X1,X2),X3))
      | element_of_set(f15(f19(interior(X0,X1,X2),X3),X4,X5,X6,f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))),intersection_of_sets(f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1429,f1555]) ).

fof(f2992,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X5,f10(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4)
      | ~ neighborhood(X4,f20(interior(X0,X1,X2),X3),interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f2984]) ).

fof(f2993,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | eq_p(f19(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f782,f2835]) ).

fof(f2994,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | eq_p(f20(intersection_of_members(X0),X1),X2)
      | ~ element_of_set(X2,cx)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f777,f2835]) ).

fof(f2995,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f19(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f904,f2835]) ).

fof(f2996,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f19(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f903,f2835]) ).

fof(f2997,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f857,f2835]) ).

fof(f2998,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f19(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f855,f2835]) ).

fof(f2999,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f20(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f882,f2835]) ).

fof(f3000,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(intersection_of_members(X0),X1),f20(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f881,f2835]) ).

fof(f3001,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X2)
      | eq_p(f20(intersection_of_members(X0),X1),f19(cx,X2))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f880,f2835]) ).

fof(f3002,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X2),X3)
      | eq_p(f20(intersection_of_members(X0),X1),f19(intersection_of_members(X2),X3))
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f879,f2835]) ).

fof(f3003,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f20(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f845,f2835]) ).

fof(f3004,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X1),X2)
      | eq_p(f20(cx,X0),f19(intersection_of_members(X1),X2))
      | hausdorff(cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f843,f2835]) ).

fof(f3005,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f19(cx,X2),f20(cx,X3))
      | hausdorff(cx,X2)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2835,f858]) ).

fof(f3006,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f19(cx,X2),f19(cx,X3))
      | hausdorff(cx,X2)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2835,f856]) ).

fof(f3007,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f20(cx,X2),f20(cx,X3))
      | hausdorff(cx,X2)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2835,f846]) ).

fof(f3008,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X3)
      | eq_p(f20(cx,X2),f19(cx,X3))
      | hausdorff(cx,X2)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2835,f844]) ).

fof(f3009,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | connected_space(X2,X3)
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f2835,f792]) ).

fof(f3010,definition,
    ! [X0,X1] :
      ( sQ57_spl
    <=> hausdorff(intersection_of_members(X0),X1) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f3011,plain,
    ! [X0,X1] :
      ( ~ sQ57_spl
      | hausdorff(intersection_of_members(X0),X1) ),
    inference(component_clause,[status(thm)],[f3010]) ).

fof(f3013,definition,
    ! [X2,X3] :
      ( sQ58_spl
    <=> ( hausdorff(cx,X3)
        | eq_p(f19(cx,X2),f20(cx,X3))
        | hausdorff(cx,X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f3014,plain,
    ! [X0,X1] :
      ( ~ sQ58_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(component_clause,[status(thm)],[f3013]) ).

fof(f3016,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ58_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f3005,f3010,f3013,f283,f412]) ).

fof(f3017,definition,
    ! [X2,X3] :
      ( sQ59_spl
    <=> ( hausdorff(cx,X3)
        | eq_p(f19(cx,X2),f19(cx,X3))
        | hausdorff(cx,X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f3018,plain,
    ! [X0,X1] :
      ( ~ sQ59_spl
      | hausdorff(cx,X1)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(component_clause,[status(thm)],[f3017]) ).

fof(f3020,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ59_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f3006,f3010,f3017,f283,f412]) ).

fof(f3021,definition,
    ! [X2,X3] :
      ( sQ60_spl
    <=> ( hausdorff(cx,X3)
        | eq_p(f20(cx,X2),f20(cx,X3))
        | hausdorff(cx,X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f3022,plain,
    ! [X0,X1] :
      ( ~ sQ60_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(component_clause,[status(thm)],[f3021]) ).

fof(f3024,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ60_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f3007,f3010,f3021,f283,f412]) ).

fof(f3025,definition,
    ! [X2,X3] :
      ( sQ61_spl
    <=> ( hausdorff(cx,X3)
        | eq_p(f20(cx,X2),f19(cx,X3))
        | hausdorff(cx,X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f3026,plain,
    ! [X0,X1] :
      ( ~ sQ61_spl
      | hausdorff(cx,X1)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(component_clause,[status(thm)],[f3025]) ).

fof(f3028,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ61_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f3008,f3010,f3025,f283,f412]) ).

fof(f3029,definition,
    ! [X2,X3] :
      ( sQ62_spl
    <=> connected_space(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f3030,plain,
    ! [X0,X1] :
      ( ~ sQ62_spl
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f3029]) ).

fof(f3032,plain,
    ( ~ sQ7_spl
    | sQ62_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f3009,f3010,f3029,f412]) ).

fof(f3033,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | disjoint_s(f17(intersection_of_members(X1),X3,X0,X2),f18(intersection_of_members(X1),X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,intersection_of_members(X1))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3011,f218]) ).

fof(f3034,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X1),X3,X0,X2),X2,intersection_of_members(X1),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,intersection_of_members(X1))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3011,f217]) ).

fof(f3035,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X1),X3,X0,X2),X0,intersection_of_members(X1),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,intersection_of_members(X1))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3011,f216]) ).

fof(f3036,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | eq_p(f19(closure(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1669,f2831]) ).

fof(f3037,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X5)
      | eq_p(f19(cx,X4),f20(cx,X5))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2831,f858]) ).

fof(f3038,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X5)
      | eq_p(f19(cx,X4),f19(cx,X5))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2831,f856]) ).

fof(f3039,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X5)
      | eq_p(f20(cx,X4),f20(cx,X5))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2831,f846]) ).

fof(f3040,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | hausdorff(cx,X5)
      | eq_p(f20(cx,X4),f19(cx,X5))
      | hausdorff(cx,X4)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2831,f844]) ).

fof(f3041,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | connected_space(X4,X5)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2831,f792]) ).

fof(f3042,definition,
    ! [X0,X1,X2,X3] :
      ( sQ63_spl
    <=> hausdorff(closure(X0,X1,X2),X3) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f3043,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ63_spl
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f3042]) ).

fof(f3045,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | ~ sQ17_spl
    | sQ58_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f3037,f3042,f3013,f452,f283,f412]) ).

fof(f3046,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | ~ sQ17_spl
    | sQ59_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f3038,f3042,f3017,f452,f283,f412]) ).

fof(f3047,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | ~ sQ17_spl
    | sQ60_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f3039,f3042,f3021,f452,f283,f412]) ).

fof(f3048,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | ~ sQ17_spl
    | sQ61_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f3040,f3042,f3025,f452,f283,f412]) ).

fof(f3049,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sQ62_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f3041,f3042,f3029,f452,f412]) ).

fof(f3050,plain,
    ( sQ7_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f402,f423,f412]) ).

fof(f3051,plain,
    ( sQ17_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f403,f423,f452]) ).

fof(f3052,definition,
    ! [X0,X1,X2,X3] :
      ( sQ64_spl
    <=> hausdorff(boundary(X0,X1,X2),X3) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f3053,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ64_spl
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f3052]) ).

fof(f3055,definition,
    ! [X4,X5] :
      ( sQ65_spl
    <=> ~ disjoint_s(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f3056,plain,
    ! [X0,X1] :
      ( ~ sQ65_spl
      | ~ disjoint_s(X0,X1) ),
    inference(component_clause,[status(thm)],[f3055]) ).

fof(f3058,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sQ65_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f2833,f3052,f3055,f452,f412]) ).

fof(f3059,plain,
    ( ~ sQ7_spl
    | ~ sQ17_spl
    | sQ65_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f2831,f3042,f3055,f452,f412]) ).

fof(f3060,plain,
    ( ~ sQ7_spl
    | sQ65_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f2835,f3010,f3055,f412]) ).

fof(f3061,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ65_spl
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[f720,f3056]) ).

fof(f3062,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ65_spl
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f218,f3056]) ).

fof(f3063,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ65_spl
      | ~ separation(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f237,f3056]) ).

fof(f3066,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ subset_sets(X0,X1)
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f249,f413]) ).

fof(f3067,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ7_spl
      | ~ subset_sets(cx,X0)
      | connected_set(cx,X0,X1) ),
    inference(resolution,[status(thm)],[f3066,f1043]) ).

fof(f3068,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ subset_sets(a,X0)
      | connected_set(a,X0,X1) ),
    inference(resolution,[status(thm)],[f3066,f1042]) ).

fof(f3069,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ open_covering(X2,X0,X1)
      | ~ subset_collections(X2,f24(X0,X1))
      | ~ finite(X2)
      | compact_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f263,f413]) ).

fof(f3070,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ subset_sets(X0,X1)
      | compact_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f269,f413]) ).

fof(f3074,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f20(cx,X0),X1),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f722]) ).

fof(f3078,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f19(cx,X0),X1),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f722]) ).

fof(f3080,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ open_covering(f24(X0,f24(X1,X2)),X1,X2)
      | ~ finite(f24(X0,f24(X1,X2)))
      | compact_space(X1,X2)
      | compact_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f776,f3069]) ).

fof(f3081,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f760,f213]) ).

fof(f3092,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ65_spl
      | ~ subset_sets(X0,X1)
      | connected_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3066,f3093]) ).

fof(f3093,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ65_spl
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f792,f3056]) ).

fof(f3101,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X1,closure(a,cx,ct))
      | subset_sets(a,f14(a,f14(a,cx,ct,X1),X2,X0))
      | element_of_set(X0,closure(a,f14(a,cx,ct,X1),X2)) ),
    inference(resolution,[status(thm)],[f741,f488]) ).

fof(f3102,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_sets(a,f14(a,cx,X1,X0))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f741,f273]) ).

fof(f3103,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X1,closure(a,cx,ct))
      | neighborhood(f16(X0,a,f14(a,cx,ct,X1),X2),X0,f14(a,cx,ct,X1),X2)
      | limit_point(X0,a,f14(a,cx,ct,X1),X2) ),
    inference(resolution,[status(thm)],[f740,f488]) ).

fof(f3104,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | neighborhood(f16(X0,a,cx,X1),X0,cx,X1)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f740,f273]) ).

fof(f3105,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(intersection_of_members(X4),X5)
      | eq_p(f7(intersection_of_members(X4),X5),X0)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f736,f775]) ).

fof(f3106,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f736,f760]) ).

fof(f3107,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f736,f745]) ).

fof(f3108,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f736,f744]) ).

fof(f3109,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | neighborhood(f16(X2,a,f14(a,cx,X1,X0),X3),X2,f14(a,cx,X1,X0),X3)
      | limit_point(X2,a,f14(a,cx,X1,X0),X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f740]) ).

fof(f3110,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | subset_sets(a,f14(a,f14(a,cx,X1,X0),X3,X2))
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f741]) ).

fof(f3111,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(X0,f16(X0,a,cx,X1))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3104,f198]) ).

fof(f3114,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | basis(intersection_of_members(X4),X5)
      | eq_p(f7(intersection_of_members(X4),X5),X0)
      | limit_point(X0,a,f14(a,cx,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f3105,f3102]) ).

fof(f3115,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | basis(intersection_of_members(X2),X3)
      | eq_p(f7(intersection_of_members(X2),X3),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3105,f273]) ).

fof(f3117,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ63_spl
      | 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)],[f3043,f217]) ).

fof(f3118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ63_spl
      | 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)],[f3043,f216]) ).

fof(f3129,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ65_spl
      | element_of_set(X1,closure(a,cx,X0))
      | connected_set(a,f14(a,cx,X0,X1),X2) ),
    inference(resolution,[status(thm)],[f3092,f3102]) ).

fof(f3130,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ65_spl
      | connected_set(a,cx,X0) ),
    inference(resolution,[status(thm)],[f3092,f273]) ).

fof(f3131,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f187,f3081]) ).

fof(f3133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | basis(intersection_of_members(X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f187,f775]) ).

fof(f3137,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f187,f745]) ).

fof(f3138,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f187,f1532]) ).

fof(f3139,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X0,X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f187,f978]) ).

fof(f3140,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f187,f744]) ).

fof(f3141,definition,
    ! [X2,X3] :
      ( sQ66_spl
    <=> basis(intersection_of_members(X2),X3) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f3142,plain,
    ! [X0,X1] :
      ( ~ sQ66_spl
      | basis(intersection_of_members(X0),X1) ),
    inference(component_clause,[status(thm)],[f3141]) ).

fof(f3144,plain,
    ( ~ sQ7_spl
    | sQ66_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f3133,f452,f3141,f412]) ).

fof(f3145,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | eq_p(f19(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1614,f3056]) ).

fof(f3146,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | eq_p(f20(cx,X4),f19(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1616,f3056]) ).

fof(f3147,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | eq_p(f19(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1710,f3056]) ).

fof(f3148,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | eq_p(f20(cx,X4),f20(boundary(X0,X1,X2),X3))
      | hausdorff(cx,X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1712,f3056]) ).

fof(f3149,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | eq_p(f20(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1717,f3056]) ).

fof(f3150,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | eq_p(f19(boundary(X0,X1,X2),X3),X4)
      | ~ element_of_set(X4,cx)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1621,f3056]) ).

fof(f3151,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | ~ sQ65_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(boundary(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2838,f3056]) ).

fof(f3152,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | hausdorff(cx,X4)
      | eq_p(f19(boundary(X0,X1,X2),X3),f19(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2840,f3056]) ).

fof(f3153,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ sQ0_spl
      | ~ sQ65_spl
      | hausdorff(boundary(X4,X5,X6),X7)
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(boundary(X4,X5,X6),X7))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2842,f3056]) ).

fof(f3154,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | ~ sQ17_spl
      | ~ sQ65_spl
      | hausdorff(cx,X4)
      | eq_p(f19(boundary(X0,X1,X2),X3),f20(cx,X4))
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2844,f3056]) ).

fof(f3155,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ17_spl
      | ~ sQ7_spl
      | element_of_set(X0,X4)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1537,f970]) ).

fof(f3158,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f19(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f752,f745]) ).

fof(f3159,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_members(X0),X1)
      | element_of_set(f20(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f752,f744]) ).

fof(f3160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ17_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(backward_subsumption_resolution,[status(thm)],[f736,f453]) ).

fof(f3161,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | compact_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3070,f453]) ).

fof(f3162,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ65_spl
      | ~ sQ17_spl
      | connected_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3092,f453]) ).

fof(f3163,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ17_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f740,f453]) ).

fof(f3164,plain,
    ( ~ sQ7_spl
    | ~ sQ65_spl
    | ~ sQ17_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f271,f3162]) ).

fof(f3165,plain,
    ( ~ sQ7_spl
    | ~ sQ65_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f3164]) ).

fof(f3169,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ64_spl
      | neighborhood(f18(boundary(X1,X2,X3),X5,X0,X4),X4,boundary(X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,boundary(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3053,f217]) ).

fof(f3170,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ64_spl
      | neighborhood(f17(boundary(X1,X2,X3),X5,X0,X4),X0,boundary(X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,boundary(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3053,f216]) ).

fof(f3171,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f223,f413]) ).

fof(f3172,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ disjoint_s(f1(X3,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3171,f1521]) ).

fof(f3173,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | ~ disjoint_s(union_of_members(X3),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3171,f1522]) ).

fof(f3175,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f10(X3,X0,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3171,f1457]) ).

fof(f3176,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(X0,X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3171,f1458]) ).

fof(f3177,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,X0,f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3175]) ).

fof(f3178,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X0,X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3176]) ).

fof(f3179,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ 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(forward_subsumption_resolution,[status(thm)],[f214,f413]) ).

fof(f3180,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | ~ element_of_set(f19(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
      | element_of_set(f19(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f3179,f745]) ).

fof(f3181,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | ~ element_of_set(f20(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
      | element_of_set(f20(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f3179,f744]) ).

fof(f3184,plain,
    ! [X0] :
      ( neighborhood(f16(X0,a,cx,ct),X0,cx,ct)
      | limit_point(X0,a,cx,ct) ),
    inference(resolution,[status(thm)],[f465,f273]) ).

fof(f3189,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | disjoint_s(f17(cx,ct,f19(cx,X1),X0),f18(cx,ct,f19(cx,X1),X0))
      | eq_p(f19(cx,X1),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f720,f745]) ).

fof(f3190,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | disjoint_s(f17(cx,ct,f20(cx,X1),X0),f18(cx,ct,f20(cx,X1),X0))
      | eq_p(f20(cx,X1),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f720,f744]) ).

fof(f3192,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(f14(a,cx,X1,X0),X2),a,f14(a,cx,X1,X0),X2),X3)
      | ~ neighborhood(X3,f20(f14(a,cx,X1,X0),X2),f14(a,cx,X1,X0),X2)
      | hausdorff(f14(a,cx,X1,X0),X2)
      | limit_point(f19(f14(a,cx,X1,X0),X2),a,f14(a,cx,X1,X0),X2)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3109,f3171]) ).

fof(f3193,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X2,f16(X2,a,f14(a,cx,X1,X0),X3))
      | limit_point(X2,a,f14(a,cx,X1,X0),X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3109,f198]) ).

fof(f3195,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(f7(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
      | element_of_set(f7(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2))
      | basis(closure(relative_complement_sets(X0,X1),X1,X2),X3) ),
    inference(resolution,[status(thm)],[f760,f3179]) ).

fof(f3198,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f7(intersection_of_members(X0),X1),X2)
      | basis(intersection_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f760,f752]) ).

fof(f3206,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X4),X5)
      | subset_sets(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0))
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f741,f3131]) ).

fof(f3207,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | subset_sets(a,f14(a,f14(a,f14(a,cx,X1,X2),X3,X4),X5,X0))
      | element_of_set(X0,closure(a,f14(a,f14(a,cx,X1,X2),X3,X4),X5)) ),
    inference(resolution,[status(thm)],[f741,f3110]) ).

fof(f3210,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X4),X5)
      | neighborhood(f16(X0,relative_complement_sets(X1,X2),X2,X3),X0,X2,X3)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f740,f3131]) ).

fof(f3211,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | neighborhood(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),X0,f14(a,f14(a,cx,X1,X2),X3,X4),X5)
      | limit_point(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5) ),
    inference(resolution,[status(thm)],[f740,f3110]) ).

fof(f3214,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(f7(boundary(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
      | element_of_set(f7(boundary(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2))
      | basis(boundary(relative_complement_sets(X0,X1),X1,X2),X3) ),
    inference(resolution,[status(thm)],[f974,f3179]) ).

fof(f3219,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f10(X4,X0,f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1456,f3171]) ).

fof(f3221,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f10(X4,X0,f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3219]) ).

fof(f3226,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X0,f16(X0,relative_complement_sets(X1,X2),X2,X3))
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3210,f198]) ).

fof(f3227,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X5),X6)
      | basis(intersection_of_sets(f16(X0,relative_complement_sets(X1,X2),X2,X3),relative_complement_sets(X1,X2)),X4)
      | eq_p(f7(intersection_of_sets(f16(X0,relative_complement_sets(X1,X2),X2,X3),relative_complement_sets(X1,X2)),X4),X0)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3106,f3131]) ).

fof(f3228,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | basis(intersection_of_sets(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),a),X6)
      | eq_p(f7(intersection_of_sets(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),a),X6),X0)
      | limit_point(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5) ),
    inference(resolution,[status(thm)],[f3106,f3110]) ).

fof(f3229,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | basis(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4)
      | eq_p(f7(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4),X0)
      | limit_point(X0,a,f14(a,cx,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f3106,f3102]) ).

fof(f3231,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X5),X6)
      | hausdorff(intersection_of_sets(f16(X0,relative_complement_sets(X1,X2),X2,X3),relative_complement_sets(X1,X2)),X4)
      | eq_p(f19(intersection_of_sets(f16(X0,relative_complement_sets(X1,X2),X2,X3),relative_complement_sets(X1,X2)),X4),X0)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3107,f3131]) ).

fof(f3232,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | hausdorff(intersection_of_sets(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),a),X6)
      | eq_p(f19(intersection_of_sets(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),a),X6),X0)
      | limit_point(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5) ),
    inference(resolution,[status(thm)],[f3107,f3110]) ).

fof(f3233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | hausdorff(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4)
      | eq_p(f19(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4),X0)
      | limit_point(X0,a,f14(a,cx,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f3107,f3102]) ).

fof(f3234,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X0,a,cx,X1),a),X2)
      | eq_p(f19(intersection_of_sets(f16(X0,a,cx,X1),a),X2),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3107,f273]) ).

fof(f3235,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X5),X6)
      | hausdorff(intersection_of_sets(f16(X0,relative_complement_sets(X1,X2),X2,X3),relative_complement_sets(X1,X2)),X4)
      | eq_p(f20(intersection_of_sets(f16(X0,relative_complement_sets(X1,X2),X2,X3),relative_complement_sets(X1,X2)),X4),X0)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3108,f3131]) ).

fof(f3236,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | hausdorff(intersection_of_sets(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),a),X6)
      | eq_p(f20(intersection_of_sets(f16(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5),a),X6),X0)
      | limit_point(X0,a,f14(a,f14(a,cx,X1,X2),X3,X4),X5) ),
    inference(resolution,[status(thm)],[f3108,f3110]) ).

fof(f3237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | hausdorff(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4)
      | eq_p(f20(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4),X0)
      | limit_point(X0,a,f14(a,cx,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f3108,f3102]) ).

fof(f3238,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X0,a,cx,X1),a),X2)
      | eq_p(f20(intersection_of_sets(f16(X0,a,cx,X1),a),X2),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3108,f273]) ).

fof(f3239,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ64_spl
      | disjoint_s(f17(boundary(X1,X2,X3),X5,X0,X4),f18(boundary(X1,X2,X3),X5,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,boundary(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f218,f3053]) ).

fof(f3240,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ63_spl
      | disjoint_s(f17(closure(X1,X2,X3),X5,X0,X4),f18(closure(X1,X2,X3),X5,X0,X4))
      | 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,f3043]) ).

fof(f3244,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
      | ~ neighborhood(X4,f20(interior(X0,X1,X2),X3),interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1431,f3171]) ).

fof(f3246,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
      | ~ neighborhood(X4,f20(interior(X0,X1,X2),X3),interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f3244]) ).

fof(f3247,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ57_spl
      | basis(intersection_of_members(X1),X2)
      | disjoint_s(f17(intersection_of_members(X1),X3,f7(intersection_of_members(X1),X2),X0),f18(intersection_of_members(X1),X3,f7(intersection_of_members(X1),X2),X0))
      | eq_p(f7(intersection_of_members(X1),X2),X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3033,f760]) ).

fof(f3250,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1455,f3171]) ).

fof(f3252,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3250]) ).

fof(f3254,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f20(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3108]) ).

fof(f3255,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f19(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3107]) ).

fof(f3256,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f7(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3106]) ).

fof(f3257,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),X6,f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f740]) ).

fof(f3258,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | subset_sets(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7,X6))
      | element_of_set(X6,closure(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7))
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f741]) ).

fof(f3259,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | neighborhood(f18(cx,ct,f20(cx,X0),f7(cx,X1)),f7(cx,X1),cx,ct)
      | eq_p(f20(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f760]) ).

fof(f3260,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f20(cx,X0),f19(cx,X1)),f19(cx,X1),cx,ct)
      | eq_p(f20(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f745]) ).

fof(f3261,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f20(cx,X0),f20(cx,X1)),f20(cx,X1),cx,ct)
      | eq_p(f20(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f766,f744]) ).

fof(f3262,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | basis(cx,X1)
      | neighborhood(f18(cx,ct,f19(cx,X0),f7(cx,X1)),f7(cx,X1),cx,ct)
      | eq_p(f19(cx,X0),f7(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f760]) ).

fof(f3263,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f19(cx,X0),f19(cx,X1)),f19(cx,X1),cx,ct)
      | eq_p(f19(cx,X0),f19(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f745]) ).

fof(f3264,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(cx,X1)
      | neighborhood(f18(cx,ct,f19(cx,X0),f20(cx,X1)),f20(cx,X1),cx,ct)
      | eq_p(f19(cx,X0),f20(cx,X1))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f770,f744]) ).

fof(f3275,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | neighborhood(closure(relative_complement_sets(X0,X1),X1,X2),f7(boundary(X0,X1,X2),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f3081]) ).

fof(f3276,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | neighborhood(closure(X0,X1,X2),f7(boundary(X0,X1,X2),X3),X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f974]) ).

fof(f3279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(interior(X2,X3,X4),X5)
      | neighborhood(f10(X0,f10(X1,f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)),f19(interior(X2,X3,X4),X5)),f19(interior(X2,X3,X4),X5)),f19(interior(X2,X3,X4),X5),X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f1247]) ).

fof(f3292,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | neighborhood(f10(X0,union_of_members(X1),X2),X2,X3,X4) ),
    inference(resolution,[status(thm)],[f1418,f1130]) ).

fof(f3293,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X6),X7)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3)
      | neighborhood(f16(X0,relative_complement_sets(X1,X2),X2,X3),X0,X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f3226]) ).

fof(f3294,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X1)
      | neighborhood(f16(X0,a,cx,X1),X0,X2,X3) ),
    inference(resolution,[status(thm)],[f1418,f3111]) ).

fof(f3297,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ46_spl
      | neighborhood(f10(X0,f1(X1,X2),X2),X2,X3,X4) ),
    inference(resolution,[status(thm)],[f1129,f1418]) ).

fof(f3298,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | element_of_set(f7(interior(X0,X1,X2),X3),f10(X4,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),f7(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f984]) ).

fof(f3299,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(f7(boundary(X0,X1,X2),X3),f10(X4,closure(relative_complement_sets(X0,X1),X1,X2),f7(boundary(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f3081]) ).

fof(f3300,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(f7(boundary(X0,X1,X2),X3),f10(X4,closure(X0,X1,X2),f7(boundary(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f974]) ).

fof(f3301,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),f10(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f759]) ).

fof(f3302,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),f10(X2,X0,f7(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f760]) ).

fof(f3303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f1247]) ).

fof(f3306,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f1163]) ).

fof(f3312,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f1165]) ).

fof(f3316,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X0,f10(X1,f10(X2,f1(X3,X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f1129]) ).

fof(f3317,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X0,f10(X1,f10(X2,union_of_members(X3),X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f1130]) ).

fof(f3318,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X5),X6)
      | limit_point(X0,relative_complement_sets(X2,X3),X3,X4)
      | element_of_set(X0,f10(X1,f16(X0,relative_complement_sets(X2,X3),X3,X4),X0)) ),
    inference(resolution,[status(thm)],[f1103,f3226]) ).

fof(f3319,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X2)
      | element_of_set(X0,f10(X1,f16(X0,a,cx,X2),X0)) ),
    inference(resolution,[status(thm)],[f1103,f3111]) ).

fof(f3322,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f413]) ).

fof(f3323,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ open(X4,X2,X3)
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f183,f413]) ).

fof(f3324,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X7),X8)
      | element_of_set(X4,closure(relative_complement_sets(X1,X2),X2,X3))
      | ~ open(X6,f14(relative_complement_sets(X1,X2),X2,X3,X4),X5)
      | ~ subset_sets(X6,relative_complement_sets(X1,X2))
      | ~ element_of_set(X0,X6)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X4),X5)) ),
    inference(resolution,[status(thm)],[f3323,f3206]) ).

fof(f3325,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X5),X6)
      | ~ open(X4,X2,X3)
      | ~ subset_sets(X4,relative_complement_sets(X1,X2))
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3323,f3131]) ).

fof(f3326,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | ~ open(X6,f14(a,f14(a,cx,X1,X2),X3,X4),X5)
      | ~ subset_sets(X6,a)
      | ~ element_of_set(X0,X6)
      | element_of_set(X0,interior(a,f14(a,f14(a,cx,X1,X2),X3,X4),X5)) ),
    inference(resolution,[status(thm)],[f3323,f3110]) ).

fof(f3327,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | ~ open(X4,f14(a,cx,X1,X2),X3)
      | ~ subset_sets(X4,a)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3323,f3102]) ).

fof(f3328,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ open(X2,cx,X1)
      | ~ subset_sets(X2,a)
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3323,f273]) ).

fof(f3329,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X7),X8)
      | element_of_set(X4,closure(relative_complement_sets(X1,X2),X2,X3))
      | ~ subset_sets(X6,relative_complement_sets(X1,X2))
      | ~ element_of_set(X0,X6)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X4),X5)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3324,f967]) ).

fof(f3330,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X5),X6)
      | ~ subset_sets(X4,relative_complement_sets(X1,X2))
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3325,f967]) ).

fof(f3331,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X4,closure(a,f14(a,cx,X1,X2),X3))
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(X6,a)
      | ~ element_of_set(X0,X6)
      | element_of_set(X0,interior(a,f14(a,f14(a,cx,X1,X2),X3,X4),X5)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3326,f967]) ).

fof(f3332,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(X4,a)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3327,f967]) ).

fof(f3333,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_sets(X2,a)
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3328,f967]) ).

fof(f3334,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ equal_sets(union_of_members(X0),X1)
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f257,f413]) ).

fof(f3337,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3294,f3171]) ).

fof(f3340,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f16(X0,a,cx,X1),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f1103]) ).

fof(f3341,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f16(X0,a,cx,X1),X0),X0,X3,X4)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f1418]) ).

fof(f3342,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X4,f16(f19(X0,X1),a,cx,X2),f19(X0,X1)),X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3341,f3171]) ).

fof(f3344,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3340,f1103]) ).

fof(f3345,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,f16(X0,a,cx,X1),X0),X0),X0,X4,X5)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3340,f1418]) ).

fof(f3346,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X4,f10(X5,f16(f19(X0,X1),a,cx,X2),f19(X0,X1)),f19(X0,X1)),X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3345,f3171]) ).

fof(f3348,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f1103]) ).

fof(f3349,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0),X0,X5,X6)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f1418]) ).

fof(f3350,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X4,f10(X5,f10(X6,f16(f19(X0,X1),a,cx,X2),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3349,f3171]) ).

fof(f3352,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),a)
      | element_of_set(f7(interior(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f984]) ).

fof(f3353,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(closure(relative_complement_sets(X0,X1),X1,X2),a)
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f3081]) ).

fof(f3354,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(closure(X0,X1,X2),a)
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f974]) ).

fof(f3355,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(intersection_of_sets(f8(X0,X1),f9(X0,X1)),a)
      | element_of_set(f7(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f759]) ).

fof(f3356,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(X0,a)
      | element_of_set(f7(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f760]) ).

fof(f3357,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),a)
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f1247]) ).

fof(f3358,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),a)
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f1104]) ).

fof(f3359,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),a)
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f986]) ).

fof(f3360,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),a)
      | element_of_set(f19(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f1163]) ).

fof(f3361,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),a)
      | element_of_set(f19(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f1155]) ).

fof(f3362,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(f10(X5,X0,f19(X0,X1)),a)
      | element_of_set(f19(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f1115]) ).

fof(f3363,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(X0,a)
      | element_of_set(f19(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f745]) ).

fof(f3364,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),a)
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f1116]) ).

fof(f3365,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(X5,closure(a,cx,X4))
      | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),a)
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(a,f14(a,cx,X4,X5),X6)) ),
    inference(resolution,[status(thm)],[f3332,f988]) ).

fof(f3366,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),a)
      | element_of_set(f20(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f1165]) ).

fof(f3367,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),a)
      | element_of_set(f20(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f1157]) ).

fof(f3368,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(f10(X5,X0,f20(X0,X1)),a)
      | element_of_set(f20(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f1127]) ).

fof(f3369,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ subset_sets(X0,a)
      | element_of_set(f20(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3332,f744]) ).

fof(f3370,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X7)
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X7),X0),X0),X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f3344]) ).

fof(f3371,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f10(X4,f10(X5,f16(X0,a,cx,X6),X0),X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f3340]) ).

fof(f3372,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X5)
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f10(X4,f16(X0,a,cx,X5),X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f3319]) ).

fof(f3373,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f10(X4,f1(X5,X0),X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f1129]) ).

fof(f3374,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f10(X4,union_of_members(X5),X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f1130]) ).

fof(f3375,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X4,X5,X7),X8)
      | limit_point(X0,relative_complement_sets(X4,X5),X5,X6)
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f16(X0,relative_complement_sets(X4,X5),X5,X6),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f3226]) ).

fof(f3376,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X4)
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f16(X0,a,cx,X4),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f3111]) ).

fof(f3377,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(f1(X4,X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f758]) ).

fof(f3378,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ46_spl
      | ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | ~ subset_sets(union_of_members(X4),a)
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(resolution,[status(thm)],[f3332,f757]) ).

fof(f3379,definition,
    ! [X0,X1,X2,X3] :
      ( sQ67_spl
    <=> ( element_of_set(X2,closure(a,cx,X1))
        | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f3380,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ67_spl
      | element_of_set(X2,closure(a,cx,X1))
      | element_of_set(X0,interior(a,f14(a,cx,X1,X2),X3)) ),
    inference(component_clause,[status(thm)],[f3379]) ).

fof(f3382,definition,
    ! [X4] :
      ( sQ68_spl
    <=> ~ subset_sets(union_of_members(X4),a) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f3383,plain,
    ! [X0] :
      ( ~ sQ68_spl
      | ~ subset_sets(union_of_members(X0),a) ),
    inference(component_clause,[status(thm)],[f3382]) ).

fof(f3385,plain,
    ( ~ sQ46_spl
    | ~ sQ7_spl
    | sQ68_spl
    | sQ67_spl ),
    inference(split_clause,[status(thm)],[f3378,f3379,f3382,f412,f679]) ).

fof(f3386,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | hausdorff(cx,X0)
      | hausdorff(cx,X0)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f3014,f1139]) ).

fof(f3387,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | hausdorff(cx,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f3386]) ).

fof(f3388,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ67_spl
      | element_of_set(X2,f13(a,f14(a,cx,X1,X0),X3,X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f179]) ).

fof(f3389,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,interior(a,f14(a,cx,X1,X0),X4),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f1103]) ).

fof(f3390,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(interior(a,f14(a,cx,X1,X0),X2),X3,X4,X5)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f1418]) ).

fof(f3391,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,f13(a,f14(a,cx,X1,X0),X4,X2),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3388,f1103]) ).

fof(f3392,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(f13(a,f14(a,cx,X1,X0),X2,X3),X3,X4,X5)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3388,f1418]) ).

fof(f3393,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3322,f615]) ).

fof(f3394,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f741,f615]) ).

fof(f3395,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(f7(boundary(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2))
      | basis(boundary(relative_complement_sets(X0,X1),X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f615,f3214]) ).

fof(f3396,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(f7(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2))
      | basis(closure(relative_complement_sets(X0,X1),X1,X2),X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f615,f3195]) ).

fof(f3397,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ element_of_set(X2,closure(X0,X1,X3))
      | element_of_set(X2,boundary(X0,X1,X3))
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f615,f3179]) ).

fof(f3398,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(X2,f10(X3,closure(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f615,f1103]) ).

fof(f3399,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(closure(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f615,f1418]) ).

fof(f3401,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(closure(X0,X1,X5),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3399,f3171]) ).

fof(f3403,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(X2,f10(X3,f10(X4,closure(X0,X1,X5),X2),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3398,f1103]) ).

fof(f3404,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f10(X2,closure(X0,X1,X3),X4),X4,X5,X6)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3398,f1418]) ).

fof(f3405,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | connected_set(a,f14(a,X1,X2,X0),X3)
      | element_of_set(X0,closure(a,X1,X2)) ),
    inference(resolution,[status(thm)],[f3394,f3068]) ).

fof(f3406,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ5_spl
      | ~ sQ7_spl
      | ~ sQ41_spl
      | connected_set(cx,f14(cx,X1,X2,X0),X3)
      | element_of_set(X0,closure(cx,X1,X2)) ),
    inference(resolution,[status(thm)],[f3394,f3067]) ).

fof(f3407,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ open(X6,f14(X1,X2,X3,X0),X5)
      | ~ subset_sets(X6,X1)
      | ~ element_of_set(X4,X6)
      | element_of_set(X4,interior(X1,f14(X1,X2,X3,X0),X5))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3394,f3323]) ).

fof(f3408,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X4,X1,f14(X1,X2,X3,X0),X5),X1),X6)
      | eq_p(f20(intersection_of_sets(f16(X4,X1,f14(X1,X2,X3,X0),X5),X1),X6),X4)
      | limit_point(X4,X1,f14(X1,X2,X3,X0),X5)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3394,f3108]) ).

fof(f3409,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X4,X1,f14(X1,X2,X3,X0),X5),X1),X6)
      | eq_p(f19(intersection_of_sets(f16(X4,X1,f14(X1,X2,X3,X0),X5),X1),X6),X4)
      | limit_point(X4,X1,f14(X1,X2,X3,X0),X5)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3394,f3107]) ).

fof(f3410,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(intersection_of_sets(f16(X4,X1,f14(X1,X2,X3,X0),X5),X1),X6)
      | eq_p(f7(intersection_of_sets(f16(X4,X1,f14(X1,X2,X3,X0),X5),X1),X6),X4)
      | limit_point(X4,X1,f14(X1,X2,X3,X0),X5)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3394,f3106]) ).

fof(f3411,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f16(X4,X1,f14(X1,X2,X3,X0),X5),X4,f14(X1,X2,X3,X0),X5)
      | limit_point(X4,X1,f14(X1,X2,X3,X0),X5)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3394,f740]) ).

fof(f3412,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ subset_sets(X6,X1)
      | ~ element_of_set(X4,X6)
      | element_of_set(X4,interior(X1,f14(X1,X2,X3,X0),X5))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3407,f967]) ).

fof(f3413,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f7(X0,X1),f10(X2,f10(X3,X0,f7(X0,X1)),f7(X0,X1)))
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3302,f1103]) ).

fof(f3415,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(f10(X5,closure(X0,X1,X6),f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3404,f3171]) ).

fof(f3417,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(X2,f10(X3,f10(X4,f10(X5,closure(X0,X1,X6),X2),X2),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3403,f1103]) ).

fof(f3418,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f10(X2,f10(X3,closure(X0,X1,X4),X5),X5),X5,X6,X7)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3403,f1418]) ).

fof(f3423,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(f10(X5,f10(X6,closure(X0,X1,X7),f19(X2,X3)),f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3418,f3171]) ).

fof(f3425,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(f7(boundary(X0,X1,X2),X3),boundary(relative_complement_sets(X0,X1),X1,X2))
      | subset_sets(relative_complement_sets(relative_complement_sets(X0,X1),X1),X1) ),
    inference(resolution,[status(thm)],[f3397,f3081]) ).

fof(f3427,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(closure(X0,X1,X2),X3)
      | element_of_set(f7(closure(X0,X1,X2),X3),boundary(X0,X1,X2))
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3397,f760]) ).

fof(f3428,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f19(closure(X0,X1,X2),X3),boundary(X0,X1,X2))
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3397,f745]) ).

fof(f3429,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f20(closure(X0,X1,X2),X3),boundary(X0,X1,X2))
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3397,f744]) ).

fof(f3430,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ41_spl
      | ~ sQ7_spl
      | subset_sets(X0,X1)
      | element_of_set(X2,boundary(X0,X1,X3))
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3397,f615]) ).

fof(f3431,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ open(X6,X2,X5)
      | ~ subset_sets(X6,relative_complement_sets(X1,X2))
      | ~ element_of_set(X4,X6)
      | element_of_set(X4,interior(relative_complement_sets(X1,X2),X2,X5))
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3430,f3323]) ).

fof(f3432,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X4,relative_complement_sets(X1,X2),X2,X5),relative_complement_sets(X1,X2)),X6)
      | eq_p(f20(intersection_of_sets(f16(X4,relative_complement_sets(X1,X2),X2,X5),relative_complement_sets(X1,X2)),X6),X4)
      | limit_point(X4,relative_complement_sets(X1,X2),X2,X5)
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3430,f3108]) ).

fof(f3433,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X4,relative_complement_sets(X1,X2),X2,X5),relative_complement_sets(X1,X2)),X6)
      | eq_p(f19(intersection_of_sets(f16(X4,relative_complement_sets(X1,X2),X2,X5),relative_complement_sets(X1,X2)),X6),X4)
      | limit_point(X4,relative_complement_sets(X1,X2),X2,X5)
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3430,f3107]) ).

fof(f3434,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(intersection_of_sets(f16(X4,relative_complement_sets(X1,X2),X2,X5),relative_complement_sets(X1,X2)),X6)
      | eq_p(f7(intersection_of_sets(f16(X4,relative_complement_sets(X1,X2),X2,X5),relative_complement_sets(X1,X2)),X6),X4)
      | limit_point(X4,relative_complement_sets(X1,X2),X2,X5)
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3430,f3106]) ).

fof(f3435,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f16(X4,relative_complement_sets(X1,X2),X2,X5),X4,X2,X5)
      | limit_point(X4,relative_complement_sets(X1,X2),X2,X5)
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3430,f740]) ).

fof(f3438,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3430,f1103]) ).

fof(f3439,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3430,f1418]) ).

fof(f3440,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ subset_sets(X6,relative_complement_sets(X1,X2))
      | ~ element_of_set(X4,X6)
      | element_of_set(X4,interior(relative_complement_sets(X1,X2),X2,X5))
      | subset_sets(X1,X2)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3431,f967]) ).

fof(f3441,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ open(X8,X1,X7)
      | ~ subset_sets(X8,relative_complement_sets(X0,X1))
      | ~ element_of_set(X6,X8)
      | element_of_set(X6,interior(relative_complement_sets(X0,X1),X1,X7))
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3439,f3323]) ).

fof(f3442,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X6,relative_complement_sets(X0,X1),X1,X7),relative_complement_sets(X0,X1)),X8)
      | eq_p(f20(intersection_of_sets(f16(X6,relative_complement_sets(X0,X1),X1,X7),relative_complement_sets(X0,X1)),X8),X6)
      | limit_point(X6,relative_complement_sets(X0,X1),X1,X7)
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3439,f3108]) ).

fof(f3443,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X6,relative_complement_sets(X0,X1),X1,X7),relative_complement_sets(X0,X1)),X8)
      | eq_p(f19(intersection_of_sets(f16(X6,relative_complement_sets(X0,X1),X1,X7),relative_complement_sets(X0,X1)),X8),X6)
      | limit_point(X6,relative_complement_sets(X0,X1),X1,X7)
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3439,f3107]) ).

fof(f3444,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(intersection_of_sets(f16(X6,relative_complement_sets(X0,X1),X1,X7),relative_complement_sets(X0,X1)),X8)
      | eq_p(f7(intersection_of_sets(f16(X6,relative_complement_sets(X0,X1),X1,X7),relative_complement_sets(X0,X1)),X8),X6)
      | limit_point(X6,relative_complement_sets(X0,X1),X1,X7)
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3439,f3106]) ).

fof(f3445,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f16(X6,relative_complement_sets(X0,X1),X1,X7),X6,X1,X7)
      | limit_point(X6,relative_complement_sets(X0,X1),X1,X7)
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3439,f740]) ).

fof(f3446,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(boundary(X0,X1,X5),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | subset_sets(X0,X1)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3439,f3171]) ).

fof(f3448,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ subset_sets(X8,relative_complement_sets(X0,X1))
      | ~ element_of_set(X6,X8)
      | element_of_set(X6,interior(relative_complement_sets(X0,X1),X1,X7))
      | neighborhood(boundary(X0,X1,X2),X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3441,f967]) ).

fof(f3449,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ open(X7,X1,X6)
      | ~ subset_sets(X7,relative_complement_sets(X0,X1))
      | ~ element_of_set(X5,X7)
      | element_of_set(X5,interior(relative_complement_sets(X0,X1),X1,X6))
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3438,f3323]) ).

fof(f3450,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X5,relative_complement_sets(X0,X1),X1,X6),relative_complement_sets(X0,X1)),X7)
      | eq_p(f20(intersection_of_sets(f16(X5,relative_complement_sets(X0,X1),X1,X6),relative_complement_sets(X0,X1)),X7),X5)
      | limit_point(X5,relative_complement_sets(X0,X1),X1,X6)
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3438,f3108]) ).

fof(f3451,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(intersection_of_sets(f16(X5,relative_complement_sets(X0,X1),X1,X6),relative_complement_sets(X0,X1)),X7)
      | eq_p(f19(intersection_of_sets(f16(X5,relative_complement_sets(X0,X1),X1,X6),relative_complement_sets(X0,X1)),X7),X5)
      | limit_point(X5,relative_complement_sets(X0,X1),X1,X6)
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3438,f3107]) ).

fof(f3452,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(intersection_of_sets(f16(X5,relative_complement_sets(X0,X1),X1,X6),relative_complement_sets(X0,X1)),X7)
      | eq_p(f7(intersection_of_sets(f16(X5,relative_complement_sets(X0,X1),X1,X6),relative_complement_sets(X0,X1)),X7),X5)
      | limit_point(X5,relative_complement_sets(X0,X1),X1,X6)
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3438,f3106]) ).

fof(f3453,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f16(X5,relative_complement_sets(X0,X1),X1,X6),X5,X1,X6)
      | limit_point(X5,relative_complement_sets(X0,X1),X1,X6)
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3438,f740]) ).

fof(f3454,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(X2,f10(X3,f10(X4,boundary(X0,X1,X5),X2),X2))
      | subset_sets(X0,X1)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3438,f1103]) ).

fof(f3455,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f10(X2,boundary(X0,X1,X3),X4),X4,X5,X6)
      | subset_sets(X0,X1)
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f3438,f1418]) ).

fof(f3456,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ subset_sets(X7,relative_complement_sets(X0,X1))
      | ~ element_of_set(X5,X7)
      | element_of_set(X5,interior(relative_complement_sets(X0,X1),X1,X6))
      | element_of_set(X2,f10(X3,boundary(X0,X1,X4),X2))
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3449,f967]) ).

fof(f3457,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,closure(X0,X1,X7),X2),X2),X2),X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3417,f1103]) ).

fof(f3458,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,closure(X0,X1,X5),X6),X6),X6),X6,X7,X8)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3417,f1418]) ).

fof(f3460,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | subset_sets(X5,X6)
      | subset_sets(relative_complement_sets(X5,X6),X6)
      | ~ disjoint_s(closure(X0,X1,X4),boundary(X5,X6,X7))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3439]) ).

fof(f3461,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | subset_sets(X5,X6)
      | ~ disjoint_s(closure(X0,X1,X4),closure(X5,X6,X7))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3399]) ).

fof(f3462,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(interior(X2,X3,X4),X5)
      | ~ disjoint_s(closure(X0,X1,X6),f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)))
      | hausdorff(interior(X2,X3,X4),X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f1471]) ).

fof(f3463,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | basis(boundary(X5,X2,X6),X7)
      | limit_point(f20(X2,X3),relative_complement_sets(X5,X2),X2,X3)
      | ~ disjoint_s(closure(X0,X1,X4),f16(f20(X2,X3),relative_complement_sets(X5,X2),X2,X3))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3210]) ).

fof(f3464,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | limit_point(f20(f14(a,cx,X2,X3),X4),a,f14(a,cx,X2,X3),X4)
      | element_of_set(X3,closure(a,cx,X2))
      | ~ disjoint_s(closure(X0,X1,X5),f16(f20(f14(a,cx,X2,X3),X4),a,f14(a,cx,X2,X3),X4))
      | hausdorff(f14(a,cx,X2,X3),X4)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3109]) ).

fof(f3465,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | limit_point(f20(X2,X3),a,cx,X5)
      | ~ disjoint_s(closure(X0,X1,X4),f16(f20(X2,X3),a,cx,X5))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3294]) ).

fof(f3466,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | subset_sets(X6,X7)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,closure(X6,X7,X8),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3404]) ).

fof(f3467,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | limit_point(f20(X2,X3),a,cx,X6)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f16(f20(X2,X3),a,cx,X6),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3341]) ).

fof(f3468,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | subset_sets(X7,X8)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,closure(X7,X8,X9),f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3418]) ).

fof(f3469,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | limit_point(f20(X2,X3),a,cx,X7)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,f16(f20(X2,X3),a,cx,X7),f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3345]) ).

fof(f3470,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | limit_point(f20(X2,X3),a,cx,X8)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,f10(X7,f16(f20(X2,X3),a,cx,X8),f20(X2,X3)),f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3349]) ).

fof(f3471,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(X2,X3)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,f10(X7,X2,f20(X2,X3)),f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f1495]) ).

fof(f3472,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(X2,X3)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,X2,f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f1496]) ).

fof(f3473,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(X2,X3)
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,X2,f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f1497]) ).

fof(f3474,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | hausdorff(X2,X3)
      | ~ disjoint_s(closure(X0,X1,X4),X2)
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f1498]) ).

fof(f3475,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ69_spl
    <=> ( subset_sets(X5,X6)
        | subset_sets(relative_complement_sets(X5,X6),X6)
        | ~ disjoint_s(closure(X0,X1,X4),boundary(X5,X6,X7))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f3476,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ69_spl
      | subset_sets(X3,X4)
      | subset_sets(relative_complement_sets(X3,X4),X4)
      | ~ disjoint_s(closure(X0,X1,X2),boundary(X3,X4,X5))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f3475]) ).

fof(f3478,definition,
    ! [X2,X3] :
      ( sQ70_spl
    <=> hausdorff(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f3479,plain,
    ! [X0,X1] :
      ( ~ sQ70_spl
      | hausdorff(X0,X1) ),
    inference(component_clause,[status(thm)],[f3478]) ).

fof(f3481,plain,
    ( ~ sQ7_spl
    | ~ sQ41_spl
    | sQ70_spl
    | sQ69_spl ),
    inference(split_clause,[status(thm)],[f3460,f3475,f3478,f614,f412]) ).

fof(f3482,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ71_spl
    <=> ( subset_sets(X5,X6)
        | ~ disjoint_s(closure(X0,X1,X4),closure(X5,X6,X7))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f3483,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | subset_sets(X3,X4)
      | ~ disjoint_s(closure(X0,X1,X2),closure(X3,X4,X5))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f3482]) ).

fof(f3485,plain,
    ( ~ sQ7_spl
    | ~ sQ41_spl
    | sQ70_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f3461,f3482,f3478,f614,f412]) ).

fof(f3486,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(closure(X0,X1,X6),f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)))
      | hausdorff(interior(X2,X3,X4),X5)
      | subset_sets(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3462]) ).

fof(f3487,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,f10(X7,X2,f20(X2,X3)),f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3471]) ).

fof(f3488,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,f10(X6,X2,f20(X2,X3)),f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3472]) ).

fof(f3489,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(closure(X0,X1,X4),f10(X5,X2,f20(X2,X3)))
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3473]) ).

fof(f3490,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ41_spl
      | ~ disjoint_s(closure(X0,X1,X4),X2)
      | hausdorff(X2,X3)
      | subset_sets(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3474]) ).

fof(f3495,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ open(X4,f14(a,cx,X1,X0),X3)
      | ~ subset_sets(X4,a)
      | ~ element_of_set(X2,X4)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f3323]) ).

fof(f3496,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X2,a,f14(a,cx,X1,X0),X3),a),X4)
      | eq_p(f20(intersection_of_sets(f16(X2,a,f14(a,cx,X1,X0),X3),a),X4),X2)
      | limit_point(X2,a,f14(a,cx,X1,X0),X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f3108]) ).

fof(f3497,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X2,a,f14(a,cx,X1,X0),X3),a),X4)
      | eq_p(f19(intersection_of_sets(f16(X2,a,f14(a,cx,X1,X0),X3),a),X4),X2)
      | limit_point(X2,a,f14(a,cx,X1,X0),X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f3107]) ).

fof(f3501,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f7(X0,X1),f10(X2,f10(X3,f10(X4,X0,f7(X0,X1)),f7(X0,X1)),f7(X0,X1)))
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3413,f1103]) ).

fof(f3503,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f7(X0,X1),f10(X2,f10(X3,intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1)),f7(X0,X1)))
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3301,f1103]) ).

fof(f3507,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),cx,ct)
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1791,f261]) ).

fof(f3508,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),f23(cx,ct,f23(cx,ct,f24(X0,ct))))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1791,f260]) ).

fof(f3509,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | finite(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1791,f259]) ).

fof(f3510,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f24(X0,ct))),ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1791,f253]) ).

fof(f3511,definition,
    ! [X0] :
      ( sQ72_spl
    <=> ( open_covering(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),cx,ct)
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f3512,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),cx,ct)
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f3511]) ).

fof(f3514,plain,
    ( ~ sQ51_spl
    | ~ sQ3_spl
    | sQ72_spl ),
    inference(split_clause,[status(thm)],[f3507,f3511,f296,f1790]) ).

fof(f3515,definition,
    ! [X0] :
      ( sQ73_spl
    <=> ( subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),f23(cx,ct,f23(cx,ct,f24(X0,ct))))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f3516,plain,
    ! [X0] :
      ( ~ sQ73_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),f23(cx,ct,f23(cx,ct,f24(X0,ct))))
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f3515]) ).

fof(f3518,plain,
    ( ~ sQ51_spl
    | ~ sQ3_spl
    | sQ73_spl ),
    inference(split_clause,[status(thm)],[f3508,f3515,f296,f1790]) ).

fof(f3519,definition,
    ! [X0] :
      ( sQ74_spl
    <=> ( finite(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f3520,plain,
    ! [X0] :
      ( ~ sQ74_spl
      | finite(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f3519]) ).

fof(f3522,plain,
    ( ~ sQ51_spl
    | ~ sQ3_spl
    | sQ74_spl ),
    inference(split_clause,[status(thm)],[f3509,f3519,f296,f1790]) ).

fof(f3531,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f10(X4,f10(X5,f10(X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1249,f1103]) ).

fof(f3532,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f10(X4,f10(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3),X6,X7)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1249,f1418]) ).

fof(f3534,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X5,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4)
      | ~ neighborhood(X4,f20(interior(X0,X1,X2),X3),interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1430,f3171]) ).

fof(f3536,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X5,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),X4)
      | ~ neighborhood(X4,f20(interior(X0,X1,X2),X3),interior(X0,X1,X2),X3)
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f3534]) ).

fof(f3537,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | ~ disjoint_s(interior(a,f14(a,cx,X1,X0),X5),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3390,f3171]) ).

fof(f3539,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | ~ disjoint_s(f13(a,f14(a,cx,X1,X0),X5,f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3392,f3171]) ).

fof(f3542,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X8),X9)
      | ~ subset_sets(f10(X7,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),f7(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f7(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f3298]) ).

fof(f3543,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f7(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f984]) ).

fof(f3544,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X8),X9)
      | ~ subset_sets(f10(X7,closure(relative_complement_sets(X0,X1),X1,X2),f7(boundary(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f3299]) ).

fof(f3545,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X8),X9)
      | ~ subset_sets(f10(X7,closure(X0,X1,X2),f7(boundary(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f3300]) ).

fof(f3546,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(closure(relative_complement_sets(X0,X1),X1,X2),relative_complement_sets(X4,X5))
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f3081]) ).

fof(f3547,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(closure(X0,X1,X2),relative_complement_sets(X4,X5))
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f974]) ).

fof(f3548,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X6),X7)
      | ~ subset_sets(f10(X5,intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3301]) ).

fof(f3549,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X7),X8)
      | ~ subset_sets(f10(X5,f10(X6,intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1)),f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3503]) ).

fof(f3550,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X7),X8)
      | ~ subset_sets(f10(X5,f10(X6,X0,f7(X0,X1)),f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3413]) ).

fof(f3551,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X6),X7)
      | ~ subset_sets(f10(X5,X0,f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3302]) ).

fof(f3552,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | ~ subset_sets(intersection_of_sets(f8(X0,X1),f9(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f759]) ).

fof(f3553,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | ~ subset_sets(X0,relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f760]) ).

fof(f3554,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X9),X10)
      | ~ subset_sets(f10(X7,f10(X8,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f1247]) ).

fof(f3555,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X8),X9)
      | ~ subset_sets(f10(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),f19(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f1104]) ).

fof(f3556,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f19(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f986]) ).

fof(f3557,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X8),X9)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f19(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f1163]) ).

fof(f3558,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X7),X8)
      | ~ subset_sets(f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f19(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f1155]) ).

fof(f3559,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X6),X7)
      | ~ subset_sets(f10(X5,X0,f19(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f19(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f1115]) ).

fof(f3560,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | ~ subset_sets(X0,relative_complement_sets(X2,X3))
      | element_of_set(f19(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f745]) ).

fof(f3561,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X9),X10)
      | ~ subset_sets(f10(X7,f10(X8,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f1249]) ).

fof(f3562,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X8),X9)
      | ~ subset_sets(f10(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f1116]) ).

fof(f3563,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f20(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f988]) ).

fof(f3564,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X8),X9)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f20(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f1165]) ).

fof(f3565,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X7),X8)
      | ~ subset_sets(f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f20(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f1157]) ).

fof(f3566,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X6),X7)
      | ~ subset_sets(f10(X5,X0,f20(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f20(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f1127]) ).

fof(f3567,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | ~ subset_sets(X0,relative_complement_sets(X2,X3))
      | element_of_set(f20(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f744]) ).

fof(f3568,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ67_spl
      | ~ sQ7_spl
      | element_of_set(X5,closure(a,cx,X4))
      | basis(boundary(X1,X2,X7),X8)
      | ~ subset_sets(f13(a,f14(a,cx,X4,X5),X6,X0),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3388]) ).

fof(f3569,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ67_spl
      | ~ sQ7_spl
      | element_of_set(X5,closure(a,cx,X4))
      | basis(boundary(X1,X2,X7),X8)
      | ~ subset_sets(interior(a,f14(a,cx,X4,X5),X6),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3380]) ).

fof(f3570,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X7)
      | basis(boundary(X1,X2,X8),X9)
      | ~ subset_sets(f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X7),X0),X0),X0),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3344]) ).

fof(f3571,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | basis(boundary(X1,X2,X7),X8)
      | ~ subset_sets(f10(X4,f10(X5,f16(X0,a,cx,X6),X0),X0),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3340]) ).

fof(f3572,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X5)
      | basis(boundary(X1,X2,X6),X7)
      | ~ subset_sets(f10(X4,f16(X0,a,cx,X5),X0),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3319]) ).

fof(f3573,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X4,X5,X9),X10)
      | limit_point(X0,relative_complement_sets(X4,X5),X5,X6)
      | basis(boundary(X1,X2,X7),X8)
      | ~ subset_sets(f16(X0,relative_complement_sets(X4,X5),X5,X6),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3226]) ).

fof(f3574,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X4)
      | basis(boundary(X1,X2,X5),X6)
      | ~ subset_sets(f16(X0,a,cx,X4),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3111]) ).

fof(f3575,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | basis(boundary(X3,X4,X8),X9)
      | ~ subset_sets(f10(X6,interior(a,f14(a,cx,X1,X0),X7),X2),relative_complement_sets(X3,X4))
      | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3389,f3330]) ).

fof(f3576,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,f10(X4,interior(a,f14(a,cx,X1,X0),X5),X2),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3389,f1103]) ).

fof(f3577,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(f10(X2,interior(a,f14(a,cx,X1,X0),X3),X4),X4,X5,X6)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3389,f1418]) ).

fof(f3580,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | basis(boundary(X3,X4,X8),X9)
      | ~ subset_sets(f10(X6,f13(a,f14(a,cx,X1,X0),X7,X2),X2),relative_complement_sets(X3,X4))
      | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3391,f3330]) ).

fof(f3581,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,f10(X4,f13(a,f14(a,cx,X1,X0),X5,X2),X2),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3391,f1103]) ).

fof(f3582,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(f10(X2,f13(a,f14(a,cx,X1,X0),X3,X4),X4),X4,X5,X6)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3391,f1418]) ).

fof(f3586,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | ~ disjoint_s(f10(X5,interior(a,f14(a,cx,X1,X0),X6),f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3577,f3171]) ).

fof(f3590,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0))
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3318,f1103]) ).

fof(f3591,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | neighborhood(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0,X7,X8)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3318,f1418]) ).

fof(f3592,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,relative_complement_sets(X1,X2),X7),X8)
      | basis(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3)
      | basis(boundary(X1,X2,X5),X6)
      | element_of_set(f7(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3),interior(relative_complement_sets(X1,X2),X2,X4)) ),
    inference(resolution,[status(thm)],[f3553,f3131]) ).

fof(f3593,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,relative_complement_sets(X1,X2),X7),X8)
      | hausdorff(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3)
      | basis(boundary(X1,X2,X5),X6)
      | element_of_set(f19(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3),interior(relative_complement_sets(X1,X2),X2,X4)) ),
    inference(resolution,[status(thm)],[f3560,f3131]) ).

fof(f3594,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,relative_complement_sets(X1,X2),X7),X8)
      | hausdorff(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3)
      | basis(boundary(X1,X2,X5),X6)
      | element_of_set(f20(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3),interior(relative_complement_sets(X1,X2),X2,X4)) ),
    inference(resolution,[status(thm)],[f3567,f3131]) ).

fof(f3595,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | ~ disjoint_s(f10(X5,f13(a,f14(a,cx,X1,X0),X6,f19(X2,X3)),f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3582,f3171]) ).

fof(f3597,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | subset_sets(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7,X6))
      | element_of_set(X6,closure(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7))
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f741]) ).

fof(f3598,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ open(X8,f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | ~ subset_sets(X8,relative_complement_sets(X1,X2))
      | ~ element_of_set(X6,X8)
      | element_of_set(X6,interior(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7))
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3323]) ).

fof(f3599,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f20(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3108]) ).

fof(f3600,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f19(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3107]) ).

fof(f3601,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f7(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3106]) ).

fof(f3602,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),X6,f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f740]) ).

fof(f3603,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ subset_sets(X8,relative_complement_sets(X1,X2))
      | ~ element_of_set(X6,X8)
      | element_of_set(X6,interior(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7))
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3598,f967]) ).

fof(f3604,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))),cx,ct)
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3512,f261]) ).

fof(f3605,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))),f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3512,f260]) ).

fof(f3606,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | finite(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))))
      | ~ compact_space(cx,ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3512,f259]) ).

fof(f3607,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))),ct)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3512,f253]) ).

fof(f3608,definition,
    ! [X0] :
      ( sQ75_spl
    <=> ( open_covering(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))),cx,ct)
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f3609,plain,
    ! [X0] :
      ( ~ sQ75_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))),cx,ct)
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f3608]) ).

fof(f3611,plain,
    ( ~ sQ72_spl
    | ~ sQ3_spl
    | sQ75_spl ),
    inference(split_clause,[status(thm)],[f3604,f3608,f296,f3511]) ).

fof(f3612,definition,
    ! [X0] :
      ( sQ76_spl
    <=> ( subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))),f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f3613,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | subset_collections(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))),f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f3612]) ).

fof(f3615,plain,
    ( ~ sQ72_spl
    | ~ sQ3_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f3605,f3612,f296,f3511]) ).

fof(f3616,definition,
    ! [X0] :
      ( sQ77_spl
    <=> ( finite(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))))
        | compact_space(X0,ct) ) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f3617,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | finite(f23(cx,ct,f23(cx,ct,f23(cx,ct,f23(cx,ct,f24(X0,ct))))))
      | compact_space(X0,ct) ),
    inference(component_clause,[status(thm)],[f3616]) ).

fof(f3619,plain,
    ( ~ sQ72_spl
    | ~ sQ3_spl
    | sQ77_spl ),
    inference(split_clause,[status(thm)],[f3606,f3616,f296,f3511]) ).

fof(f3620,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | basis(boundary(X3,X4,X9),X10)
      | ~ subset_sets(f10(X6,f10(X7,interior(a,f14(a,cx,X1,X0),X8),X2),X2),relative_complement_sets(X3,X4))
      | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3576,f3330]) ).

fof(f3621,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,f10(X4,f10(X5,interior(a,f14(a,cx,X1,X0),X6),X2),X2),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3576,f1103]) ).

fof(f3622,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(f10(X2,f10(X3,interior(a,f14(a,cx,X1,X0),X4),X5),X5),X5,X6,X7)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3576,f1418]) ).

fof(f3624,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X9),X10)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,a,cx,X1),X0),X0),X0),X0),relative_complement_sets(X2,X3))
      | element_of_set(X0,interior(relative_complement_sets(X2,X3),X3,X4))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3330]) ).

fof(f3625,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f1103]) ).

fof(f3626,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X0,X6,X7)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f1418]) ).

fof(f3627,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ52_spl
      | ~ equal_sets(union_of_members(f23(cx,ct,f23(cx,ct,f24(X0,ct)))),X1)
      | open_covering(f23(cx,ct,f23(cx,ct,f24(X0,ct))),X1,f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1795,f3334]) ).

fof(f3628,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ52_spl
      | finer(f23(cx,ct,f24(X0,ct)),f23(cx,ct,f23(cx,ct,f24(X0,ct))),X1)
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f1795,f981]) ).

fof(f3629,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ52_spl
      | open_covering(f23(cx,ct,f23(cx,ct,f24(X0,ct))),X1,f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3627,f761]) ).

fof(f3630,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | basis(boundary(X3,X4,X9),X10)
      | ~ subset_sets(f10(X6,f10(X7,f13(a,f14(a,cx,X1,X0),X8,X2),X2),X2),relative_complement_sets(X3,X4))
      | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3581,f3330]) ).

fof(f3631,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,f10(X4,f10(X5,f13(a,f14(a,cx,X1,X0),X6,X2),X2),X2),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3581,f1103]) ).

fof(f3632,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(f10(X2,f10(X3,f13(a,f14(a,cx,X1,X0),X4,X5),X5),X5),X5,X6,X7)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3581,f1418]) ).

fof(f3637,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | ~ disjoint_s(f10(X5,f10(X6,interior(a,f14(a,cx,X1,X0),X7),f19(X2,X3)),f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3622,f3171]) ).

fof(f3639,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ52_spl
      | open_covering(f23(X1,f23(cx,ct,f24(X0,ct)),f23(cx,ct,f23(cx,ct,f24(X0,ct)))),X1,f23(cx,ct,f24(X0,ct)))
      | ~ compact_space(X1,f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3629,f261]) ).

fof(f3640,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ52_spl
      | subset_collections(f23(X1,f23(cx,ct,f24(X0,ct)),f23(cx,ct,f23(cx,ct,f24(X0,ct)))),f23(cx,ct,f23(cx,ct,f24(X0,ct))))
      | ~ compact_space(X1,f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3629,f260]) ).

fof(f3641,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ52_spl
      | finite(f23(X1,f23(cx,ct,f24(X0,ct)),f23(cx,ct,f23(cx,ct,f24(X0,ct)))))
      | ~ compact_space(X1,f23(cx,ct,f24(X0,ct)))
      | compact_space(X0,ct) ),
    inference(resolution,[status(thm)],[f3629,f259]) ).

fof(f3647,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f10(X4,f10(X5,f10(X6,f10(X7,f16(f19(X0,X1),a,cx,X2),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3626,f3171]) ).

fof(f3649,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | ~ disjoint_s(f10(X5,f10(X6,f13(a,f14(a,cx,X1,X0),X7,f19(X2,X3)),f19(X2,X3)),f19(X2,X3)),X4)
      | ~ neighborhood(X4,f20(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3632,f3171]) ).

fof(f3651,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X4,closure(a,cx,X3))
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),interior(a,f14(a,cx,X3,X4),X5))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3390]) ).

fof(f3652,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X4,closure(a,cx,X3))
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f13(a,f14(a,cx,X3,X4),X5,f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3392]) ).

fof(f3653,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | ~ disjoint_s(f16(f19(interior(X0,X1,X2),X3),a,cx,X4),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3)
      | limit_point(f19(interior(X0,X1,X2),X3),a,cx,X4) ),
    inference(resolution,[status(thm)],[f3337,f1471]) ).

fof(f3654,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(boundary(X3,X4,X6),X7)
      | limit_point(f20(X0,X1),relative_complement_sets(X3,X4),X4,X5)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f16(f20(X0,X1),relative_complement_sets(X3,X4),X4,X5))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3293]) ).

fof(f3655,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | limit_point(f20(f14(a,cx,X0,X1),X2),a,f14(a,cx,X0,X1),X2)
      | element_of_set(X1,closure(a,cx,X0))
      | ~ disjoint_s(f16(f19(f14(a,cx,X0,X1),X2),a,cx,X3),f16(f20(f14(a,cx,X0,X1),X2),a,f14(a,cx,X0,X1),X2))
      | hausdorff(f14(a,cx,X0,X1),X2)
      | limit_point(f19(f14(a,cx,X0,X1),X2),a,cx,X3) ),
    inference(resolution,[status(thm)],[f3337,f3109]) ).

fof(f3656,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | limit_point(f20(X0,X1),a,cx,X3)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f16(f20(X0,X1),a,cx,X3))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3294]) ).

fof(f3657,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X5,closure(a,cx,X4))
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,interior(a,f14(a,cx,X4,X5),X6),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3577]) ).

fof(f3658,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X5,closure(a,cx,X4))
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f13(a,f14(a,cx,X4,X5),X6,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3582]) ).

fof(f3659,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | ~ disjoint_s(f16(f19(interior(X0,X1,X2),X3),a,cx,X4),f10(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3)
      | limit_point(f19(interior(X0,X1,X2),X3),a,cx,X4) ),
    inference(resolution,[status(thm)],[f3337,f1470]) ).

fof(f3660,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X4,X5,X7),X8)
      | limit_point(f20(X0,X1),relative_complement_sets(X4,X5),X5,X6)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f16(f20(X0,X1),relative_complement_sets(X4,X5),X5,X6),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3591]) ).

fof(f3661,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(f20(X0,X1),a,cx,X4)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f16(f20(X0,X1),a,cx,X4),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3341]) ).

fof(f3662,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X6,closure(a,cx,X5))
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,f13(a,f14(a,cx,X5,X6),X7,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3632]) ).

fof(f3663,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X6,closure(a,cx,X5))
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,interior(a,f14(a,cx,X5,X6),X7),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3622]) ).

fof(f3664,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | limit_point(f20(X0,X1),a,cx,X5)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,f16(f20(X0,X1),a,cx,X5),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3345]) ).

fof(f3665,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(f20(X0,X1),a,cx,X7)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,f10(X5,f10(X6,f16(f20(X0,X1),a,cx,X7),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3626]) ).

fof(f3666,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(f20(X0,X1),a,cx,X6)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,f10(X5,f16(f20(X0,X1),a,cx,X6),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f3349]) ).

fof(f3667,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,f10(X5,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f1495]) ).

fof(f3668,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,X0,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f1496]) ).

fof(f3669,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,X0,f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f1497]) ).

fof(f3670,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),X0)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(resolution,[status(thm)],[f3337,f1498]) ).

fof(f3671,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(interior(X0,X1,X2),X3),a,cx,X4),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3)
      | limit_point(f19(interior(X0,X1,X2),X3),a,cx,X4) ),
    inference(duplicate_literals_removal,[status(thm)],[f3653]) ).

fof(f3672,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(interior(X0,X1,X2),X3),a,cx,X4),f10(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3)
      | limit_point(f19(interior(X0,X1,X2),X3),a,cx,X4) ),
    inference(duplicate_literals_removal,[status(thm)],[f3659]) ).

fof(f3673,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,f10(X5,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f3667]) ).

fof(f3674,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,f10(X4,X0,f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f3668]) ).

fof(f3675,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),f10(X3,X0,f20(X0,X1)))
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f3669]) ).

fof(f3676,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f16(f19(X0,X1),a,cx,X2),X0)
      | hausdorff(X0,X1)
      | limit_point(f19(X0,X1),a,cx,X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f3670]) ).

fof(f3677,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | basis(boundary(X3,X4,X10),X11)
      | ~ subset_sets(f10(X6,f10(X7,f10(X8,interior(a,f14(a,cx,X1,X0),X9),X2),X2),X2),relative_complement_sets(X3,X4))
      | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3621,f3330]) ).

fof(f3678,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,interior(a,f14(a,cx,X1,X0),X7),X2),X2),X2),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3621,f1103]) ).

fof(f3679,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,interior(a,f14(a,cx,X1,X0),X5),X6),X6),X6),X6,X7,X8)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3621,f1418]) ).

fof(f3680,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X9),X10)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,f10(X8,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f19(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1201,f3330]) ).

fof(f3681,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1201,f1103]) ).

fof(f3682,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,f10(X5,X0,f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1)),f19(X0,X1),X6,X7)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1201,f1418]) ).

fof(f3683,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X9),X10)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,f10(X8,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f20(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1203,f3330]) ).

fof(f3684,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1203,f1103]) ).

fof(f3685,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,f10(X5,X0,f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1)),f20(X0,X1),X6,X7)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f1203,f1418]) ).

fof(f3686,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ63_spl
      | basis(boundary(X1,X2,X3),X4)
      | neighborhood(f18(closure(relative_complement_sets(X1,X2),X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0),X0,closure(relative_complement_sets(X1,X2),X2,X3),X5)
      | eq_p(f7(boundary(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3117,f3081]) ).

fof(f3687,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ63_spl
      | basis(boundary(X1,X2,X3),X4)
      | neighborhood(f18(closure(X1,X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0),X0,closure(X1,X2,X3),X5)
      | eq_p(f7(boundary(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3117,f974]) ).

fof(f3688,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ63_spl
      | basis(closure(X1,X2,X3),X4)
      | neighborhood(f18(closure(X1,X2,X3),X5,f7(closure(X1,X2,X3),X4),X0),X0,closure(X1,X2,X3),X5)
      | eq_p(f7(closure(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3117,f760]) ).

fof(f3691,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ63_spl
      | basis(boundary(X1,X2,X3),X4)
      | neighborhood(f17(closure(relative_complement_sets(X1,X2),X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0),f7(boundary(X1,X2,X3),X4),closure(relative_complement_sets(X1,X2),X2,X3),X5)
      | eq_p(f7(boundary(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3118,f3081]) ).

fof(f3692,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ63_spl
      | basis(boundary(X1,X2,X3),X4)
      | neighborhood(f17(closure(X1,X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0),f7(boundary(X1,X2,X3),X4),closure(X1,X2,X3),X5)
      | eq_p(f7(boundary(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3118,f974]) ).

fof(f3693,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ63_spl
      | basis(closure(X1,X2,X3),X4)
      | neighborhood(f17(closure(X1,X2,X3),X5,f7(closure(X1,X2,X3),X4),X0),f7(closure(X1,X2,X3),X4),closure(X1,X2,X3),X5)
      | eq_p(f7(closure(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3118,f760]) ).

fof(f3696,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ64_spl
      | basis(boundary(X1,X2,X3),X4)
      | neighborhood(f18(boundary(X1,X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0),X0,boundary(X1,X2,X3),X5)
      | eq_p(f7(boundary(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3169,f760]) ).

fof(f3699,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | connected_set(a,f14(a,f14(a,cx,X1,X0),X3,X2),X4)
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f3068]) ).

fof(f3700,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | subset_sets(a,f14(a,f14(a,f14(a,cx,X1,X0),X3,X2),X5,X4))
      | element_of_set(X4,closure(a,f14(a,f14(a,cx,X1,X0),X3,X2),X5))
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f741]) ).

fof(f3701,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ open(X6,f14(a,f14(a,cx,X1,X0),X3,X2),X5)
      | ~ subset_sets(X6,a)
      | ~ element_of_set(X4,X6)
      | element_of_set(X4,interior(a,f14(a,f14(a,cx,X1,X0),X3,X2),X5))
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f3323]) ).

fof(f3702,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),a),X6)
      | eq_p(f20(intersection_of_sets(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),a),X6),X4)
      | limit_point(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5)
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f3108]) ).

fof(f3703,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(intersection_of_sets(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),a),X6)
      | eq_p(f19(intersection_of_sets(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),a),X6),X4)
      | limit_point(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5)
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f3107]) ).

fof(f3704,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(intersection_of_sets(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),a),X6)
      | eq_p(f7(intersection_of_sets(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),a),X6),X4)
      | limit_point(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5)
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f3106]) ).

fof(f3705,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | neighborhood(f16(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5),X4,f14(a,f14(a,cx,X1,X0),X3,X2),X5)
      | limit_point(X4,a,f14(a,f14(a,cx,X1,X0),X3,X2),X5)
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3110,f740]) ).

fof(f3706,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ subset_sets(X6,a)
      | ~ element_of_set(X4,X6)
      | element_of_set(X4,interior(a,f14(a,f14(a,cx,X1,X0),X3,X2),X5))
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3701,f967]) ).

fof(f3707,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ43_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)],[f720,f623]) ).

fof(f3708,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ43_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)],[f722,f623]) ).

fof(f3709,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ43_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)],[f721,f623]) ).

fof(f3711,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ43_spl
      | neighborhood(f18(cx,ct,f19(cx,X0),X1),X1,cx,ct)
      | eq_p(f19(cx,X0),X1)
      | hausdorff(cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f770,f623]) ).

fof(f3712,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | ~ sQ43_spl
      | neighborhood(f18(cx,ct,f20(cx,X0),X1),X1,cx,ct)
      | eq_p(f20(cx,X0),X1)
      | hausdorff(cx,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f766,f623]) ).

fof(f3713,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ43_spl
      | basis(boundary(X1,X2,X4),X5)
      | ~ subset_sets(cx,relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f623,f3330]) ).

fof(f3714,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ43_spl
      | element_of_set(X0,f10(X1,cx,X0)) ),
    inference(resolution,[status(thm)],[f623,f1103]) ).

fof(f3715,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ43_spl
      | neighborhood(cx,X0,X1,X2) ),
    inference(resolution,[status(thm)],[f623,f1418]) ).

fof(f3716,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ43_spl
      | disjoint_s(f17(cx,ct,X0,X1),f18(cx,ct,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3707,f623]) ).

fof(f3717,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ43_spl
      | neighborhood(f17(cx,ct,X0,X1),X0,cx,ct)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3708,f623]) ).

fof(f3718,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ43_spl
      | neighborhood(f18(cx,ct,X0,X1),X1,cx,ct)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3709,f623]) ).

fof(f3719,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ42_spl
      | basis(boundary(X1,X2,X4),X5)
      | ~ subset_sets(empty_set,relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f619,f3330]) ).

fof(f3720,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ42_spl
      | element_of_set(X0,f10(X1,empty_set,X0)) ),
    inference(resolution,[status(thm)],[f619,f1103]) ).

fof(f3721,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ42_spl
      | neighborhood(empty_set,X0,X1,X2) ),
    inference(resolution,[status(thm)],[f619,f1418]) ).

fof(f3722,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | disjoint_s(f17(cx,X2,X0,X1),f18(cx,X2,X0,X1))
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f3387,f218]) ).

fof(f3723,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | neighborhood(f18(cx,X2,X0,X1),X1,cx,X2)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f3387,f217]) ).

fof(f3724,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | neighborhood(f17(cx,X2,X0,X1),X0,cx,X2)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,cx)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f3387,f216]) ).

fof(f3725,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | disjoint_s(f17(cx,X2,X1,X0),f18(cx,X2,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3722,f623]) ).

fof(f3726,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | neighborhood(f18(cx,X2,X1,X0),X0,cx,X2)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3723,f623]) ).

fof(f3727,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | neighborhood(f17(cx,X2,X1,X0),X1,cx,X2)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3724,f623]) ).

fof(f3728,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | disjoint_s(f17(X1,X3,X0,X2),f18(X1,X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,X1)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f218,f3479]) ).

fof(f3729,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | neighborhood(f18(X1,X3,X0,X2),X2,X1,X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,X1)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f217,f3479]) ).

fof(f3730,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | neighborhood(f17(X1,X3,X0,X2),X0,X1,X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,X1)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f216,f3479]) ).

fof(f3733,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ27_spl
      | disjoint_s(f17(intersection_of_members(top_of_basis(X1)),X3,X2,X0),f18(intersection_of_members(top_of_basis(X1)),X3,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f559,f3033]) ).

fof(f3734,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ27_spl
      | neighborhood(f17(intersection_of_members(top_of_basis(X1)),X3,X2,X0),X2,intersection_of_members(top_of_basis(X1)),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f559,f3035]) ).

fof(f3735,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ27_spl
      | neighborhood(f18(intersection_of_members(top_of_basis(X1)),X3,X2,X0),X0,intersection_of_members(top_of_basis(X1)),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f559,f3034]) ).

fof(f3736,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f559,f752]) ).

fof(f3737,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | basis(boundary(X1,X2,X5),X6)
      | ~ subset_sets(intersection_of_members(top_of_basis(X4)),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f559,f3330]) ).

fof(f3738,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | element_of_set(X0,f10(X1,intersection_of_members(top_of_basis(X2)),X0)) ),
    inference(resolution,[status(thm)],[f559,f1103]) ).

fof(f3740,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ27_spl
      | disjoint_s(f17(intersection_of_members(top_of_basis(X2)),X3,X0,X1),f18(intersection_of_members(top_of_basis(X2)),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3733,f559]) ).

fof(f3741,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ27_spl
      | neighborhood(f17(intersection_of_members(top_of_basis(X2)),X3,X0,X1),X0,intersection_of_members(top_of_basis(X2)),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3734,f559]) ).

fof(f3742,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ27_spl
      | neighborhood(f18(intersection_of_members(top_of_basis(X2)),X3,X0,X1),X1,intersection_of_members(top_of_basis(X2)),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3735,f559]) ).

fof(f3743,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ64_spl
      | ~ sQ7_spl
      | ~ sQ27_spl
      | neighborhood(f18(boundary(X1,X2,X3),X5,X0,X4),X4,boundary(X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3169,f3736]) ).

fof(f3744,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ7_spl
      | ~ sQ27_spl
      | disjoint_s(f17(intersection_of_members(X1),X3,X0,X2),f18(intersection_of_members(X1),X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3033,f3736]) ).

fof(f3749,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | eq_p(X4,X0)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f736,f3736]) ).

fof(f3750,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | neighborhood(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1418,f3736]) ).

fof(f3751,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ64_spl
      | ~ sQ7_spl
      | ~ sQ27_spl
      | neighborhood(f18(boundary(X2,X3,X4),X5,X0,X1),X1,boundary(X2,X3,X4),X5)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3743,f3736]) ).

fof(f3752,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | ~ sQ7_spl
      | ~ sQ27_spl
      | disjoint_s(f17(intersection_of_members(X2),X3,X0,X1),f18(intersection_of_members(X2),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3744,f3736]) ).

fof(f3757,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f206,f3750]) ).

fof(f3759,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ62_spl
      | ~ disjoint_s(X0,X1)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1146,f3761]) ).

fof(f3761,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ62_spl
      | ~ separation(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f242,f3030]) ).

fof(f3762,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | ~ sQ27_spl
      | disjoint_s(f17(cx,X2,X0,X1),f18(cx,X2,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3725,f3736]) ).

fof(f3763,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | basis(boundary(X1,X2,X5),X6)
      | eq_p(X4,X0)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3749,f3131]) ).

fof(f3764,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | eq_p(X2,X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3749,f273]) ).

fof(f3765,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ27_spl
      | subset_sets(a,cx)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3764,f204]) ).

fof(f3766,definition,
    ! [X0,X1] :
      ( sQ78_spl
    <=> eq_p(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f3767,plain,
    ! [X0,X1] :
      ( ~ sQ78_spl
      | eq_p(X0,X1) ),
    inference(component_clause,[status(thm)],[f3766]) ).

fof(f3769,plain,
    ( ~ sQ7_spl
    | ~ sQ27_spl
    | sQ50_spl
    | sQ78_spl ),
    inference(split_clause,[status(thm)],[f3765,f3766,f732,f558,f412]) ).

fof(f3770,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ subset_sets(X4,a)
      | ~ element_of_set(X2,X4)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3495,f967]) ).

fof(f3772,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3323,f967]) ).

fof(f3777,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ62_spl
      | ~ sQ0_spl
      | ~ sQ43_spl
      | equal_sets(f18(cx,ct,X0,X1),empty_set)
      | equal_sets(f17(cx,ct,X0,X1),empty_set)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3716,f3759]) ).

fof(f3778,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | basis(cx,X1)
      | neighborhood(f17(cx,X2,X0,f7(cx,X1)),X0,cx,X2)
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f3727,f760]) ).

fof(f3779,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | basis(cx,X1)
      | neighborhood(f18(cx,X2,X0,f7(cx,X1)),f7(cx,X1),cx,X2)
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f3726,f760]) ).

fof(f3781,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | subset_sets(a,f14(a,f14(a,cx,X1,X0),X3,X2))
      | element_of_set(X2,closure(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f741]) ).

fof(f3782,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | neighborhood(f16(X2,a,f14(a,cx,X1,X0),X3),X2,f14(a,cx,X1,X0),X3)
      | limit_point(X2,a,f14(a,cx,X1,X0),X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3102,f740]) ).

fof(f3783,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | neighborhood(f18(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,f7(X1,X2),X0),X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3)
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2))) ),
    inference(resolution,[status(thm)],[f3729,f759]) ).

fof(f3784,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f18(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0),X0,f10(X1,X2,f7(X2,X3)),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,f10(X1,X2,f7(X2,X3))) ),
    inference(resolution,[status(thm)],[f3729,f3302]) ).

fof(f3785,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | neighborhood(f18(X1,X3,f7(X1,X2),X0),X0,X1,X3)
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3729,f760]) ).

fof(f3786,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,a,cx,X2)
      | neighborhood(f18(f16(X1,a,cx,X2),X3,X1,X0),X0,f16(X1,a,cx,X2),X3)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,a,cx,X2)) ),
    inference(resolution,[status(thm)],[f3729,f3111]) ).

fof(f3787,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | neighborhood(f17(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,f7(X1,X2),X0),f7(X1,X2),intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3)
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2))) ),
    inference(resolution,[status(thm)],[f3730,f759]) ).

fof(f3788,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f17(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0),f7(X2,X3),f10(X1,X2,f7(X2,X3)),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,f10(X1,X2,f7(X2,X3))) ),
    inference(resolution,[status(thm)],[f3730,f3302]) ).

fof(f3789,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | neighborhood(f17(X1,X3,f7(X1,X2),X0),f7(X1,X2),X1,X3)
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3730,f760]) ).

fof(f3790,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,a,cx,X2)
      | neighborhood(f17(f16(X1,a,cx,X2),X3,X1,X0),X1,f16(X1,a,cx,X2),X3)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,a,cx,X2)) ),
    inference(resolution,[status(thm)],[f3730,f3111]) ).

fof(f3794,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f16(X0,a,cx,X1),X0),X4,X0,X2),X0,f10(X3,f16(X0,a,cx,X1),X0),X4)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,a,cx,X1),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f3730]) ).

fof(f3795,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f16(X0,a,cx,X1),X0),X4,X0,X2),X2,f10(X3,f16(X0,a,cx,X1),X0),X4)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,a,cx,X1),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f3729]) ).

fof(f3796,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | basis(cx,X1)
      | disjoint_s(f17(cx,X2,X0,f7(cx,X1)),f18(cx,X2,X0,f7(cx,X1)))
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f3725,f760]) ).

fof(f3799,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X1,X2,X3),X4)
      | disjoint_s(f17(closure(X1,X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0),f18(closure(X1,X2,X3),X5,f7(boundary(X1,X2,X3),X4),X0))
      | eq_p(f7(boundary(X1,X2,X3),X4),X0)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3728,f974]) ).

fof(f3800,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | disjoint_s(f17(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,f7(X1,X2),X0),f18(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,f7(X1,X2),X0))
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2))) ),
    inference(resolution,[status(thm)],[f3728,f759]) ).

fof(f3801,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X3,X4)
      | disjoint_s(f17(f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),X5,f7(X3,X4),X0),f18(f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),X5,f7(X3,X4),X0))
      | eq_p(f7(X3,X4),X0)
      | ~ element_of_set(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4))) ),
    inference(resolution,[status(thm)],[f3728,f3413]) ).

fof(f3802,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | disjoint_s(f17(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0),f18(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0))
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,f10(X1,X2,f7(X2,X3))) ),
    inference(resolution,[status(thm)],[f3728,f3302]) ).

fof(f3803,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | disjoint_s(f17(X1,X3,f7(X1,X2),X0),f18(X1,X3,f7(X1,X2),X0))
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3728,f760]) ).

fof(f3804,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X3)
      | disjoint_s(f17(f10(X1,f16(X2,a,cx,X3),X2),X4,X2,X0),f18(f10(X1,f16(X2,a,cx,X3),X2),X4,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,f10(X1,f16(X2,a,cx,X3),X2)) ),
    inference(resolution,[status(thm)],[f3728,f3319]) ).

fof(f3805,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,a,cx,X2)
      | disjoint_s(f17(f16(X1,a,cx,X2),X3,X1,X0),f18(f16(X1,a,cx,X2),X3,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,a,cx,X2)) ),
    inference(resolution,[status(thm)],[f3728,f3111]) ).

fof(f3808,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,closure(a,cx,X1))
      | basis(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4)
      | eq_p(f7(intersection_of_sets(f16(X0,a,f14(a,cx,X1,X2),X3),a),X4),X0)
      | limit_point(X0,a,f14(a,cx,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f3106,f3102]) ).

fof(f3822,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X5,X0,X2),f18(f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X5,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3340,f3728]) ).

fof(f3823,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X5,X0,X2),X0,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X5)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3340,f3730]) ).

fof(f3824,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X5,X0,X2),X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X5)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3340,f3729]) ).

fof(f3833,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4)
      | neighborhood(f18(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f7(X2,X3),f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3785,f3413]) ).

fof(f3836,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X3)
      | basis(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4)
      | neighborhood(f18(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X5,f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2),X2,f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X5)
      | eq_p(f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2) ),
    inference(resolution,[status(thm)],[f3785,f3340]) ).

fof(f3837,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,a,cx,X2)
      | basis(f10(X0,f16(X1,a,cx,X2),X1),X3)
      | neighborhood(f18(f10(X0,f16(X1,a,cx,X2),X1),X4,f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1),X1,f10(X0,f16(X1,a,cx,X2),X1),X4)
      | eq_p(f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1) ),
    inference(resolution,[status(thm)],[f3785,f3319]) ).

fof(f3838,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X1,X2,X6),X7)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3)
      | basis(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4)
      | neighborhood(f18(f16(X0,relative_complement_sets(X1,X2),X2,X3),X5,f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0),X0,f16(X0,relative_complement_sets(X1,X2),X2,X3),X5)
      | eq_p(f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f3785,f3226]) ).

fof(f3839,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,a,cx,X1)
      | basis(f16(X0,a,cx,X1),X2)
      | neighborhood(f18(f16(X0,a,cx,X1),X3,f7(f16(X0,a,cx,X1),X2),X0),X0,f16(X0,a,cx,X1),X3)
      | eq_p(f7(f16(X0,a,cx,X1),X2),X0) ),
    inference(resolution,[status(thm)],[f3785,f3111]) ).

fof(f3840,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),relative_complement_sets(X4,X5))
      | element_of_set(f7(interior(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f984]) ).

fof(f3841,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(closure(relative_complement_sets(X0,X1),X1,X2),relative_complement_sets(X4,X5))
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f3081]) ).

fof(f3842,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | ~ subset_sets(closure(X0,X1,X2),relative_complement_sets(X4,X5))
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f3330,f974]) ).

fof(f3843,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | ~ subset_sets(intersection_of_sets(f8(X0,X1),f9(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f759]) ).

fof(f3844,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X6),X7)
      | ~ subset_sets(f10(X5,intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3301]) ).

fof(f3845,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X7),X8)
      | ~ subset_sets(f10(X5,f10(X6,X0,f7(X0,X1)),f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3413]) ).

fof(f3846,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X6),X7)
      | ~ subset_sets(f10(X5,X0,f7(X0,X1)),relative_complement_sets(X2,X3))
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f3330,f3302]) ).

fof(f3848,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | basis(boundary(X1,X2,X7),X8)
      | ~ subset_sets(f10(X4,f10(X5,f16(X0,a,cx,X6),X0),X0),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3340]) ).

fof(f3849,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X5)
      | basis(boundary(X1,X2,X6),X7)
      | ~ subset_sets(f10(X4,f16(X0,a,cx,X5),X0),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3319]) ).

fof(f3850,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X4,X5,X9),X10)
      | limit_point(X0,relative_complement_sets(X4,X5),X5,X6)
      | basis(boundary(X1,X2,X7),X8)
      | ~ subset_sets(f16(X0,relative_complement_sets(X4,X5),X5,X6),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3226]) ).

fof(f3851,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X4)
      | basis(boundary(X1,X2,X5),X6)
      | ~ subset_sets(f16(X0,a,cx,X4),relative_complement_sets(X1,X2))
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3330,f3111]) ).

fof(f3852,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X8),X9)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,f16(X0,a,cx,X1),X0),X0),X0),relative_complement_sets(X2,X3))
      | element_of_set(X0,interior(relative_complement_sets(X2,X3),X3,X4))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f3330]) ).

fof(f3853,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0),X5)
      | neighborhood(f18(f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0),X6,f7(f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0),X5),X0),X0,f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0),X6)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,f16(X0,a,cx,X1),X0),X0),X0),X5),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f3785]) ).

fof(f3854,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X6,X0,X2),f18(f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X6,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f3728]) ).

fof(f3855,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X6,X0,X2),X0,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X6)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f3730]) ).

fof(f3856,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X6,X0,X2),X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X6)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3344,f3729]) ).

fof(f3867,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X3,X4)
      | basis(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5)
      | neighborhood(f17(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X6,f7(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)),f7(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5),f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X6)
      | eq_p(f7(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)) ),
    inference(resolution,[status(thm)],[f3789,f3501]) ).

fof(f3868,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4)
      | neighborhood(f17(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3789,f3413]) ).

fof(f3871,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X4)
      | basis(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5)
      | neighborhood(f17(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X6,f7(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5),X3),f7(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5),f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X6)
      | eq_p(f7(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5),X3) ),
    inference(resolution,[status(thm)],[f3789,f3344]) ).

fof(f3872,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X3)
      | basis(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4)
      | neighborhood(f17(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X5,f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2),f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X5)
      | eq_p(f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2) ),
    inference(resolution,[status(thm)],[f3789,f3340]) ).

fof(f3873,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,a,cx,X2)
      | basis(f10(X0,f16(X1,a,cx,X2),X1),X3)
      | neighborhood(f17(f10(X0,f16(X1,a,cx,X2),X1),X4,f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1),f7(f10(X0,f16(X1,a,cx,X2),X1),X3),f10(X0,f16(X1,a,cx,X2),X1),X4)
      | eq_p(f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1) ),
    inference(resolution,[status(thm)],[f3789,f3319]) ).

fof(f3874,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X1,X2,X6),X7)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3)
      | basis(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4)
      | neighborhood(f17(f16(X0,relative_complement_sets(X1,X2),X2,X3),X5,f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0),f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),f16(X0,relative_complement_sets(X1,X2),X2,X3),X5)
      | eq_p(f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f3789,f3226]) ).

fof(f3875,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,a,cx,X1)
      | basis(f16(X0,a,cx,X1),X2)
      | neighborhood(f17(f16(X0,a,cx,X1),X3,f7(f16(X0,a,cx,X1),X2),X0),f7(f16(X0,a,cx,X1),X2),f16(X0,a,cx,X1),X3)
      | eq_p(f7(f16(X0,a,cx,X1),X2),X0) ),
    inference(resolution,[status(thm)],[f3789,f3111]) ).

fof(f3876,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,relative_complement_sets(X1,X2),X7),X8)
      | basis(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3)
      | basis(boundary(X1,X2,X5),X6)
      | element_of_set(f7(relative_complement_sets(X0,relative_complement_sets(X1,X2)),X3),interior(relative_complement_sets(X1,X2),X2,X4)) ),
    inference(resolution,[status(thm)],[f3553,f3131]) ).

fof(f3877,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7)
      | neighborhood(f17(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X8,f7(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7),X0),f7(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7),f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X8)
      | eq_p(f7(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3318,f3789]) ).

fof(f3879,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7)
      | neighborhood(f18(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X8,f7(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7),X0),X0,f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X8)
      | eq_p(f7(f10(X6,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X7),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3318,f3785]) ).

fof(f3883,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8)
      | eq_p(f7(intersection_of_sets(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),relative_complement_sets(X1,X2)),X8),X6)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f3106]) ).

fof(f3884,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | subset_sets(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7,X6))
      | element_of_set(X6,closure(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7))
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f741]) ).

fof(f3885,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | neighborhood(f16(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7),X6,f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | limit_point(X6,relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X7)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f3206,f740]) ).

fof(f3898,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(interior(X2,X3,X4),X5)
      | ~ subset_sets(f13(X2,X3,X4,f7(interior(X2,X3,X4),X5)),a)
      | element_of_set(f7(interior(X2,X3,X4),X5),interior(a,f14(a,cx,X1,X0),X6))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f984]) ).

fof(f3899,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X4),X5)
      | ~ subset_sets(f10(X7,closure(X2,X3,X4),f7(boundary(X2,X3,X4),X5)),a)
      | element_of_set(f7(boundary(X2,X3,X4),X5),interior(a,f14(a,cx,X1,X0),X6))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3300]) ).

fof(f3900,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X4),X5)
      | ~ subset_sets(closure(relative_complement_sets(X2,X3),X3,X4),a)
      | element_of_set(f7(boundary(X2,X3,X4),X5),interior(a,f14(a,cx,X1,X0),X6))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3081]) ).

fof(f3901,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X4),X5)
      | ~ subset_sets(closure(X2,X3,X4),a)
      | element_of_set(f7(boundary(X2,X3,X4),X5),interior(a,f14(a,cx,X1,X0),X6))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f974]) ).

fof(f3902,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(intersection_of_sets(f8(X2,X3),f9(X2,X3)),a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f759]) ).

fof(f3903,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(f10(X5,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3301]) ).

fof(f3904,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(f10(X5,f10(X6,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3503]) ).

fof(f3905,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,X2,f7(X2,X3)),f7(X2,X3)),f7(X2,X3)),a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3501]) ).

fof(f3906,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(f10(X5,f10(X6,X2,f7(X2,X3)),f7(X2,X3)),a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3413]) ).

fof(f3907,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(f10(X5,X2,f7(X2,X3)),a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3302]) ).

fof(f3908,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(X2,X3)
      | ~ subset_sets(X2,a)
      | element_of_set(f7(X2,X3),interior(a,f14(a,cx,X1,X0),X4))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f760]) ).

fof(f3909,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X7)
      | ~ subset_sets(f10(X4,f10(X5,f10(X6,f16(X2,a,cx,X7),X2),X2),X2),a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3344]) ).

fof(f3910,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X6)
      | ~ subset_sets(f10(X4,f10(X5,f16(X2,a,cx,X6),X2),X2),a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3340]) ).

fof(f3911,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | basis(boundary(X5,X6,X8),X9)
      | limit_point(X2,relative_complement_sets(X5,X6),X6,X7)
      | ~ subset_sets(f10(X4,f16(X2,relative_complement_sets(X5,X6),X6,X7),X2),a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3318]) ).

fof(f3912,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X5)
      | ~ subset_sets(f10(X4,f16(X2,a,cx,X5),X2),a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3319]) ).

fof(f3913,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X4,X5,X7),X8)
      | limit_point(X2,relative_complement_sets(X4,X5),X5,X6)
      | ~ subset_sets(f16(X2,relative_complement_sets(X4,X5),X5,X6),a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3226]) ).

fof(f3914,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X4)
      | ~ subset_sets(f16(X2,a,cx,X4),a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3770,f3111]) ).

fof(f3915,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,a,cx,X1),X0),X0),X0),X0),a)
      | element_of_set(X0,interior(a,f14(a,cx,X3,X2),X4))
      | element_of_set(X2,closure(a,cx,X3))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3770]) ).

fof(f3916,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6)
      | neighborhood(f17(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X7,f7(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6),X0),f7(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6),f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X7)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3789]) ).

fof(f3917,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X9),X10)
      | ~ subset_sets(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,a,cx,X1),X0),X0),X0),X0),relative_complement_sets(X2,X3))
      | element_of_set(X0,interior(relative_complement_sets(X2,X3),X3,X4))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3330]) ).

fof(f3918,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6)
      | neighborhood(f18(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X7,f7(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6),X0),X0,f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X7)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X1),X0),X0),X0),X0),X6),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3785]) ).

fof(f3919,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X7,X0,X2),f18(f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X7,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3728]) ).

fof(f3920,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X7,X0,X2),X0,f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X7)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3730]) ).

fof(f3921,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X7,X0,X2),X2,f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0),X7)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,f16(X0,a,cx,X1),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3348,f3729]) ).

fof(f3923,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X1,X2,X3),X4)
      | basis(f10(X0,closure(X1,X2,X3),f7(boundary(X1,X2,X3),X4)),X5)
      | disjoint_s(f17(f10(X0,closure(X1,X2,X3),f7(boundary(X1,X2,X3),X4)),X6,f7(f10(X0,closure(X1,X2,X3),f7(boundary(X1,X2,X3),X4)),X5),f7(boundary(X1,X2,X3),X4)),f18(f10(X0,closure(X1,X2,X3),f7(boundary(X1,X2,X3),X4)),X6,f7(f10(X0,closure(X1,X2,X3),f7(boundary(X1,X2,X3),X4)),X5),f7(boundary(X1,X2,X3),X4)))
      | eq_p(f7(f10(X0,closure(X1,X2,X3),f7(boundary(X1,X2,X3),X4)),X5),f7(boundary(X1,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3803,f3300]) ).

fof(f3928,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),X4)
      | disjoint_s(f17(f10(X0,f10(X1,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f18(f10(X0,f10(X1,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)))
      | eq_p(f7(f10(X0,f10(X1,intersection_of_sets(f8(X2,X3),f9(X2,X3)),f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3803,f3503]) ).

fof(f3929,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X3,X4)
      | basis(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5)
      | disjoint_s(f17(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X6,f7(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)),f18(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X6,f7(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)))
      | eq_p(f7(f10(X0,f10(X1,f10(X2,X3,f7(X3,X4)),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)) ),
    inference(resolution,[status(thm)],[f3803,f3501]) ).

fof(f3930,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4)
      | disjoint_s(f17(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f18(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)))
      | eq_p(f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3803,f3413]) ).

fof(f3933,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X5)
      | basis(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,a,cx,X5),X4),X4),X4),X4),X6)
      | disjoint_s(f17(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,a,cx,X5),X4),X4),X4),X4),X7,f7(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,a,cx,X5),X4),X4),X4),X4),X6),X4),f18(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,a,cx,X5),X4),X4),X4),X4),X7,f7(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,a,cx,X5),X4),X4),X4),X4),X6),X4))
      | eq_p(f7(f10(X0,f10(X1,f10(X2,f10(X3,f16(X4,a,cx,X5),X4),X4),X4),X4),X6),X4) ),
    inference(resolution,[status(thm)],[f3803,f3348]) ).

fof(f3934,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X4)
      | basis(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5)
      | disjoint_s(f17(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X6,f7(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5),X3),f18(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X6,f7(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5),X3))
      | eq_p(f7(f10(X0,f10(X1,f10(X2,f16(X3,a,cx,X4),X3),X3),X3),X5),X3) ),
    inference(resolution,[status(thm)],[f3803,f3344]) ).

fof(f3935,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X3)
      | basis(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4)
      | disjoint_s(f17(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X5,f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2),f18(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X5,f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2))
      | eq_p(f7(f10(X0,f10(X1,f16(X2,a,cx,X3),X2),X2),X4),X2) ),
    inference(resolution,[status(thm)],[f3803,f3340]) ).

fof(f3936,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X2,X3,X7),X8)
      | limit_point(X1,relative_complement_sets(X2,X3),X3,X4)
      | basis(f10(X0,f16(X1,relative_complement_sets(X2,X3),X3,X4),X1),X5)
      | disjoint_s(f17(f10(X0,f16(X1,relative_complement_sets(X2,X3),X3,X4),X1),X6,f7(f10(X0,f16(X1,relative_complement_sets(X2,X3),X3,X4),X1),X5),X1),f18(f10(X0,f16(X1,relative_complement_sets(X2,X3),X3,X4),X1),X6,f7(f10(X0,f16(X1,relative_complement_sets(X2,X3),X3,X4),X1),X5),X1))
      | eq_p(f7(f10(X0,f16(X1,relative_complement_sets(X2,X3),X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f3803,f3318]) ).

fof(f3937,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,a,cx,X2)
      | basis(f10(X0,f16(X1,a,cx,X2),X1),X3)
      | disjoint_s(f17(f10(X0,f16(X1,a,cx,X2),X1),X4,f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1),f18(f10(X0,f16(X1,a,cx,X2),X1),X4,f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1))
      | eq_p(f7(f10(X0,f16(X1,a,cx,X2),X1),X3),X1) ),
    inference(resolution,[status(thm)],[f3803,f3319]) ).

fof(f3938,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X1,X2,X6),X7)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3)
      | basis(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4)
      | disjoint_s(f17(f16(X0,relative_complement_sets(X1,X2),X2,X3),X5,f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0),f18(f16(X0,relative_complement_sets(X1,X2),X2,X3),X5,f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0))
      | eq_p(f7(f16(X0,relative_complement_sets(X1,X2),X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f3803,f3226]) ).

fof(f3939,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,a,cx,X1)
      | basis(f16(X0,a,cx,X1),X2)
      | disjoint_s(f17(f16(X0,a,cx,X1),X3,f7(f16(X0,a,cx,X1),X2),X0),f18(f16(X0,a,cx,X1),X3,f7(f16(X0,a,cx,X1),X2),X0))
      | eq_p(f7(f16(X0,a,cx,X1),X2),X0) ),
    inference(resolution,[status(thm)],[f3803,f3111]) ).

fof(f3948,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8)
      | disjoint_s(f17(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X9,f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0),f18(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X9,f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0))
      | eq_p(f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3590,f3803]) ).

fof(f3950,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8)
      | neighborhood(f17(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X9,f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0),f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X9)
      | eq_p(f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3590,f3789]) ).

fof(f3952,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8)
      | neighborhood(f18(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X9,f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0),X0,f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X9)
      | eq_p(f7(f10(X6,f10(X7,f16(X0,relative_complement_sets(X1,X2),X2,X3),X0),X0),X8),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f3590,f3785]) ).

fof(f3956,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ62_spl
      | ~ sQ58_spl
      | ~ sQ43_spl
      | equal_sets(f18(cx,X2,X0,f7(cx,X1)),empty_set)
      | equal_sets(f17(cx,X2,X0,f7(cx,X1)),empty_set)
      | basis(cx,X1)
      | eq_p(X0,f7(cx,X1)) ),
    inference(resolution,[status(thm)],[f3796,f3759]) ).

fof(f3957,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X0,a,X5),X6)
      | basis(relative_complement_sets(X0,a),X1)
      | element_of_set(X3,closure(a,cx,X2))
      | element_of_set(f7(relative_complement_sets(X0,a),X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f3356,f3131]) ).

fof(f3972,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(X0,X1)
      | neighborhood(f18(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)),f7(X0,X1),f10(X2,X0,f7(X0,X1)),X3)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3784,f3302]) ).

fof(f3973,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,X0,f7(X0,X1)),X3)
      | basis(X0,X1)
      | neighborhood(f18(f10(X2,X0,f7(X0,X1)),X4,f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)),f7(f10(X2,X0,f7(X0,X1)),X3),f10(X2,X0,f7(X0,X1)),X4)
      | eq_p(f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)) ),
    inference(resolution,[status(thm)],[f3784,f760]) ).

fof(f3974,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | neighborhood(f18(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)),f7(X0,X1),f10(X2,X0,f7(X0,X1)),X3)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3972]) ).

fof(f3975,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(X0,X1)
      | neighborhood(f17(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)),f7(X0,X1),f10(X2,X0,f7(X0,X1)),X3)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3788,f3302]) ).

fof(f3976,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,X0,f7(X0,X1)),X3)
      | basis(X0,X1)
      | neighborhood(f17(f10(X2,X0,f7(X0,X1)),X4,f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)),f7(X0,X1),f10(X2,X0,f7(X0,X1)),X4)
      | eq_p(f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)) ),
    inference(resolution,[status(thm)],[f3788,f760]) ).

fof(f3977,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | neighborhood(f17(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)),f7(X0,X1),f10(X2,X0,f7(X0,X1)),X3)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3975]) ).

fof(f3984,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X0,X1,X2),X4)
      | basis(boundary(relative_complement_sets(X0,X1),X1,X2),X3)
      | disjoint_s(f17(closure(relative_complement_sets(X0,X1),X1,X2),X5,f7(boundary(relative_complement_sets(X0,X1),X1,X2),X3),f7(boundary(X0,X1,X2),X4)),f18(closure(relative_complement_sets(X0,X1),X1,X2),X5,f7(boundary(relative_complement_sets(X0,X1),X1,X2),X3),f7(boundary(X0,X1,X2),X4)))
      | eq_p(f7(boundary(relative_complement_sets(X0,X1),X1,X2),X3),f7(boundary(X0,X1,X2),X4)) ),
    inference(resolution,[status(thm)],[f3799,f3081]) ).

fof(f3985,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(boundary(X0,X1,X2),X4)
      | basis(boundary(X0,X1,X2),X3)
      | disjoint_s(f17(closure(X0,X1,X2),X5,f7(boundary(X0,X1,X2),X3),f7(boundary(X0,X1,X2),X4)),f18(closure(X0,X1,X2),X5,f7(boundary(X0,X1,X2),X3),f7(boundary(X0,X1,X2),X4)))
      | eq_p(f7(boundary(X0,X1,X2),X3),f7(boundary(X0,X1,X2),X4)) ),
    inference(resolution,[status(thm)],[f3799,f974]) ).

fof(f3986,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(closure(X0,X1,X2),X4)
      | basis(boundary(X0,X1,X2),X3)
      | disjoint_s(f17(closure(X0,X1,X2),X5,f7(boundary(X0,X1,X2),X3),f7(closure(X0,X1,X2),X4)),f18(closure(X0,X1,X2),X5,f7(boundary(X0,X1,X2),X3),f7(closure(X0,X1,X2),X4)))
      | eq_p(f7(boundary(X0,X1,X2),X3),f7(closure(X0,X1,X2),X4)) ),
    inference(resolution,[status(thm)],[f3799,f760]) ).

fof(f3987,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(X0,X1)
      | disjoint_s(f17(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)),f18(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)))
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3802,f3302]) ).

fof(f3988,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,X0,f7(X0,X1)),X3)
      | basis(X0,X1)
      | disjoint_s(f17(f10(X2,X0,f7(X0,X1)),X4,f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)),f18(f10(X2,X0,f7(X0,X1)),X4,f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)))
      | eq_p(f7(X0,X1),f7(f10(X2,X0,f7(X0,X1)),X3)) ),
    inference(resolution,[status(thm)],[f3802,f760]) ).

fof(f3989,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | disjoint_s(f17(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)),f18(f10(X2,X0,f7(X0,X1)),X3,f7(X0,X1),f7(X0,X1)))
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3987]) ).

fof(f3990,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ42_spl
      | ~ subset_sets(empty_set,a)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f619,f3770]) ).

fof(f3992,definition,
    ( sQ79_spl
  <=> subset_sets(empty_set,a) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f3993,plain,
    ( ~ sQ79_spl
    | subset_sets(empty_set,a) ),
    inference(component_clause,[status(thm)],[f3992]) ).

fof(f3994,plain,
    ( sQ79_spl
    | ~ subset_sets(empty_set,a) ),
    inference(component_clause,[status(thm)],[f3992]) ).

fof(f3995,plain,
    ( ~ sQ7_spl
    | ~ sQ42_spl
    | ~ sQ79_spl
    | sQ67_spl ),
    inference(split_clause,[status(thm)],[f3990,f3379,f3992,f618,f412]) ).

fof(f4004,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f753,f759]) ).

fof(f4011,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X2)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f753,f3348]) ).

fof(f4013,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X5),X6)
      | limit_point(X0,relative_complement_sets(X2,X3),X3,X4)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f753,f3590]) ).

fof(f4019,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(intersection_of_members(X0),X1)
      | element_of_set(f7(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f752,f760]) ).

fof(f4020,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(interior(X1,X2,X3),X4)
      | neighborhood(f10(X0,f13(X1,X2,X3,f7(interior(X1,X2,X3),X4)),f7(interior(X1,X2,X3),X4)),f7(interior(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f3298]) ).

fof(f4022,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X3),X4)
      | neighborhood(f10(X0,closure(relative_complement_sets(X1,X2),X2,X3),f7(boundary(X1,X2,X3),X4)),f7(boundary(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f3299]) ).

fof(f4035,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | basis(boundary(X3,X4,X8),X9)
      | limit_point(X2,relative_complement_sets(X3,X4),X4,X5)
      | neighborhood(f10(X0,f10(X1,f16(X2,relative_complement_sets(X3,X4),X4,X5),X2),X2),X2,X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f3590]) ).

fof(f4044,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | element_of_set(f7(interior(X0,X1,X2),X3),f10(X4,f10(X5,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),f7(interior(X0,X1,X2),X3)),f7(interior(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f3298]) ).

fof(f4046,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(f7(boundary(X0,X1,X2),X3),f10(X4,f10(X5,closure(relative_complement_sets(X0,X1),X1,X2),f7(boundary(X0,X1,X2),X3)),f7(boundary(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f3299]) ).

fof(f4047,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | element_of_set(f7(boundary(X0,X1,X2),X3),f10(X4,f10(X5,closure(X0,X1,X2),f7(boundary(X0,X1,X2),X3)),f7(boundary(X0,X1,X2),X3))) ),
    inference(resolution,[status(thm)],[f1103,f3300]) ).

fof(f4052,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),f10(X2,f10(X3,f10(X4,intersection_of_sets(f8(X0,X1),f9(X0,X1)),f7(X0,X1)),f7(X0,X1)),f7(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f3503]) ).

fof(f4053,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),f10(X2,f10(X3,f10(X4,f10(X5,X0,f7(X0,X1)),f7(X0,X1)),f7(X0,X1)),f7(X0,X1))) ),
    inference(resolution,[status(thm)],[f1103,f3501]) ).

fof(f4057,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,f16(X0,a,cx,X6),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f3348]) ).

fof(f4059,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X4,X5,X7),X8)
      | limit_point(X0,relative_complement_sets(X4,X5),X5,X6)
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f16(X0,relative_complement_sets(X4,X5),X5,X6),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f3590]) ).

fof(f4087,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ element_of_set(X2,X4)
      | element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3770,f4095]) ).

fof(f4088,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X1,X2,X5),X6)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3330,f4095]) ).

fof(f4089,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1551,f4095]) ).

fof(f4090,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | connected_set(a,X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3068,f4095]) ).

fof(f4091,plain,
    ! [X0,X1] :
      ( ~ sQ5_spl
      | ~ sQ7_spl
      | connected_set(cx,X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3067,f4095]) ).

fof(f4092,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(X3,closure(a,cx,X2))
      | element_of_set(f7(X0,X1),interior(a,f14(a,cx,X2,X3),X4)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3356,f4095]) ).

fof(f4093,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3553,f4095]) ).

fof(f4094,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f740,f4095]) ).

fof(f4095,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f170,f747]) ).

fof(f4096,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,union_of_members(X3),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4011,f1103]) ).

fof(f4097,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(union_of_members(X2),X0,X3,X4)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4011,f1418]) ).

fof(f4100,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,union_of_members(X4),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4096,f1103]) ).

fof(f4101,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,union_of_members(X3),X0),X0,X4,X5)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4096,f1418]) ).

fof(f4104,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4100,f1103]) ).

fof(f4105,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,union_of_members(X4),X0),X0),X0,X5,X6)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4100,f1418]) ).

fof(f4108,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,interior(a,f14(a,cx,X1,X0),X4),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f1103]) ).

fof(f4109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | neighborhood(interior(a,f14(a,cx,X1,X0),X2),X3,X4,X5)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f1418]) ).

fof(f4110,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,union_of_members(X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f753]) ).

fof(f4111,definition,
    ! [X0,X1] :
      ( sQ80_spl
    <=> element_of_set(X0,closure(a,cx,X1)) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f4112,plain,
    ! [X0,X1] :
      ( ~ sQ80_spl
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(component_clause,[status(thm)],[f4111]) ).

fof(f4114,definition,
    ! [X2,X3] :
      ( sQ81_spl
    <=> element_of_set(X2,union_of_members(X3)) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f4115,plain,
    ! [X0,X1] :
      ( ~ sQ81_spl
      | element_of_set(X0,union_of_members(X1)) ),
    inference(component_clause,[status(thm)],[f4114]) ).

fof(f4117,plain,
    ( ~ sQ7_spl
    | ~ sQ67_spl
    | sQ81_spl
    | sQ80_spl ),
    inference(split_clause,[status(thm)],[f4110,f4111,f4114,f3379,f412]) ).

fof(f4118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ43_spl
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3713,f4095]) ).

fof(f4119,plain,
    ( sQ79_spl
    | ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3994,f4095]) ).

fof(f4120,plain,
    ( sQ79_spl
    | ~ sQ7_spl ),
    inference(contradiction_clause,[status(thm)],[f4119]) ).

fof(f4122,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)],[f722,f401]) ).

fof(f4123,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)],[f721,f401]) ).

fof(f4128,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ57_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | neighborhood(f18(intersection_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),X0,intersection_of_members(top_of_basis(X1)),X4)
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3034,f416]) ).

fof(f4129,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ57_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | neighborhood(f17(intersection_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),f11(X2,intersection_of_members(top_of_basis(X3))),intersection_of_members(top_of_basis(X1)),X4)
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3035,f416]) ).

fof(f4130,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)],[f720,f401]) ).

fof(f4131,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | 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))) ),
    inference(resolution,[status(thm)],[f4122,f401]) ).

fof(f4132,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | 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))) ),
    inference(resolution,[status(thm)],[f4123,f401]) ).

fof(f4133,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | 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))) ),
    inference(resolution,[status(thm)],[f4130,f401]) ).

fof(f4134,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X0),X3,f11(X1,intersection_of_members(X0)),X2),f11(X1,intersection_of_members(X0)),intersection_of_members(X0),X3)
      | eq_p(f11(X1,intersection_of_members(X0)),X2)
      | ~ element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f164,f3035]) ).

fof(f4135,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X0),X3,f11(X1,intersection_of_members(X0)),X2),X2,intersection_of_members(X0),X3)
      | eq_p(f11(X1,intersection_of_members(X0)),X2)
      | ~ element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f164,f3034]) ).

fof(f4136,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)),f11(X0,cx)),f18(cx,ct,f11(X1,intersection_of_members(ct)),f11(X0,cx)))
      | eq_p(f11(X1,intersection_of_members(ct)),f11(X0,cx))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f164,f4130]) ).

fof(f4137,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)),f11(X0,cx)),f11(X0,cx),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),f11(X0,cx))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f164,f4123]) ).

fof(f4138,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)),f11(X0,cx)),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),f11(X0,cx))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f164,f4122]) ).

fof(f4139,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)],[f164,f720]) ).

fof(f4140,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)],[f164,f721]) ).

fof(f4141,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)],[f164,f722]) ).

fof(f4142,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | element_of_set(f11(X2,f2(X0,X1)),union_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f281,f118]) ).

fof(f4145,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0))))),union_of_members(top_of_basis(X0)))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f281,f626]) ).

fof(f4146,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X0))
      | element_of_set(f11(X1,f1(ct,f11(X0,intersection_of_members(ct)))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,intersection_of_members(ct))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f281,f482]) ).

fof(f4149,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),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)],[f277,f281]) ).

fof(f4151,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),closure(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f280]) ).

fof(f4152,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),closure(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f279]) ).

fof(f4153,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),f1(top_of_basis(X0),f11(X2,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)],[f276,f626]) ).

fof(f4154,plain,
    ! [X0,X1] :
      ( element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,intersection_of_members(ct))))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f482]) ).

fof(f4156,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,empty_set)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f308]) ).

fof(f4157,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,union_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f277]) ).

fof(f4158,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X0),X4,X3,X2),X3,intersection_of_members(X0),X4)
      | eq_p(X3,X2)
      | ~ element_of_set(X2,intersection_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)],[f524,f3035]) ).

fof(f4159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X0),X4,X3,X2),X2,intersection_of_members(X0),X4)
      | eq_p(X3,X2)
      | ~ element_of_set(X2,intersection_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)],[f524,f3034]) ).

fof(f4160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X0),X4,X2,X3),X2,intersection_of_members(X0),X4)
      | eq_p(X2,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(forward_subsumption_resolution,[status(thm)],[f4158,f524]) ).

fof(f4161,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X0),X4,X2,X3),X3,intersection_of_members(X0),X4)
      | eq_p(X2,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(forward_subsumption_resolution,[status(thm)],[f4159,f524]) ).

fof(f4162,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X0),X4,X3,X2),X3,intersection_of_members(X0),X4)
      | eq_p(X3,X2)
      | ~ element_of_set(X2,intersection_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)],[f527,f3035]) ).

fof(f4163,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X0),X4,X3,X2),X2,intersection_of_members(X0),X4)
      | eq_p(X3,X2)
      | ~ element_of_set(X2,intersection_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)],[f527,f3034]) ).

fof(f4164,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f527,f276]) ).

fof(f4165,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(X0,f11(X1,intersection_of_members(X0)))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f527,f281]) ).

fof(f4166,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X0),X4,X2,X3),X2,intersection_of_members(X0),X4)
      | eq_p(X2,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(forward_subsumption_resolution,[status(thm)],[f4162,f527]) ).

fof(f4167,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X0),X4,X2,X3),X3,intersection_of_members(X0),X4)
      | eq_p(X2,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(forward_subsumption_resolution,[status(thm)],[f4163,f527]) ).

fof(f4171,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ26_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,f1(top_of_basis(X0),f11(X3,intersection_of_members(top_of_basis(X0)))))
      | 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)],[f525,f626]) ).

fof(f4176,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)],[f525,f277]) ).

fof(f4192,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X1,intersection_of_members(ct)),f19(cx,X0)),f18(cx,ct,f11(X1,intersection_of_members(ct)),f19(cx,X0)))
      | eq_p(f11(X1,intersection_of_members(ct)),f19(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f4130]) ).

fof(f4193,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X1,intersection_of_members(ct)),f19(cx,X0)),f19(cx,X0),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),f19(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f4123]) ).

fof(f4194,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X1,intersection_of_members(ct)),f19(cx,X0)),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),f19(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f4122]) ).

fof(f4195,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f19(cx,X0),X1),f18(cx,ct,f19(cx,X0),X1))
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f720]) ).

fof(f4196,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f19(cx,X0),X1),X1,cx,ct)
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f721]) ).

fof(f4197,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f19(cx,X0),X1),f19(cx,X0),cx,ct)
      | eq_p(f19(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f745,f722]) ).

fof(f4200,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,ct,f11(X1,intersection_of_members(ct)),f20(cx,X0)),f18(cx,ct,f11(X1,intersection_of_members(ct)),f20(cx,X0)))
      | eq_p(f11(X1,intersection_of_members(ct)),f20(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f4130]) ).

fof(f4201,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,ct,f11(X1,intersection_of_members(ct)),f20(cx,X0)),f20(cx,X0),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),f20(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f4123]) ).

fof(f4202,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,ct,f11(X1,intersection_of_members(ct)),f20(cx,X0)),f11(X1,intersection_of_members(ct)),cx,ct)
      | eq_p(f11(X1,intersection_of_members(ct)),f20(cx,X0))
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f4122]) ).

fof(f4203,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | disjoint_s(f17(cx,ct,f20(cx,X0),X1),f18(cx,ct,f20(cx,X0),X1))
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f720]) ).

fof(f4204,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f18(cx,ct,f20(cx,X0),X1),X1,cx,ct)
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f721]) ).

fof(f4205,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f17(cx,ct,f20(cx,X0),X1),f20(cx,X0),cx,ct)
      | eq_p(f20(cx,X0),X1)
      | ~ element_of_set(X1,cx)
      | hausdorff(cx,X0) ),
    inference(resolution,[status(thm)],[f744,f722]) ).

fof(f4224,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_collection(intersection_of_sets(f16(X3,relative_complement_sets(X0,cx),cx,ct),relative_complement_sets(X0,cx)),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X3,relative_complement_sets(X0,cx),cx,ct),relative_complement_sets(X0,cx))),X3)
      | limit_point(X3,relative_complement_sets(X0,cx),cx,ct)
      | hausdorff(boundary(X0,cx,X1),X2) ),
    inference(resolution,[status(thm)],[f3138,f698]) ).

fof(f4225,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | closed(f14(relative_complement_sets(X0,cx),cx,ct,X3),cx,ct)
      | element_of_set(X3,closure(relative_complement_sets(X0,cx),cx,ct))
      | hausdorff(boundary(X0,cx,X1),X2) ),
    inference(resolution,[status(thm)],[f3138,f472]) ).

fof(f4226,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | subset_sets(relative_complement_sets(X0,cx),f14(relative_complement_sets(X0,cx),cx,ct,X3))
      | element_of_set(X3,closure(relative_complement_sets(X0,cx),cx,ct))
      | hausdorff(boundary(X0,cx,X1),X2) ),
    inference(resolution,[status(thm)],[f3138,f459]) ).

fof(f4227,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | neighborhood(f16(X3,relative_complement_sets(X0,cx),cx,ct),X3,cx,ct)
      | limit_point(X3,relative_complement_sets(X0,cx),cx,ct)
      | hausdorff(boundary(X0,cx,X1),X2) ),
    inference(resolution,[status(thm)],[f3138,f465]) ).

fof(f4230,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | subset_sets(relative_complement_sets(X1,X2),X2)
      | disjoint_s(f17(boundary(X1,X2,X3),X5,X0,X4),f18(boundary(X1,X2,X3),X5,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,boundary(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f218,f3138]) ).

fof(f4231,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | subset_sets(X1,X2)
      | disjoint_s(f17(boundary(X1,X2,X3),X5,X0,X4),f18(boundary(X1,X2,X3),X5,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,boundary(X1,X2,X3))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f218,f3139]) ).

fof(f4232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f209,f744]) ).

fof(f4233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f209,f745]) ).

fof(f4234,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | basis(intersection_of_members(X4),X5)
      | eq_p(f7(intersection_of_members(X4),X5),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f209,f4019]) ).

fof(f4236,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)],[f209,f164]) ).

fof(f4240,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | disjoint_s(f17(union_of_members(X1),X4,f7(X2,X3),X0),f18(union_of_members(X1),X4,f7(X2,X3),X0))
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f4004]) ).

fof(f4241,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | disjoint_s(f17(X1,X3,f7(X1,X2),X0),f18(X1,X3,f7(X1,X2),X0))
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3728,f760]) ).

fof(f4242,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(union_of_members(X1),top_of_basis(X2))
      | disjoint_s(f17(f1(X1,f11(X2,union_of_members(X1))),X3,f11(X2,union_of_members(X1)),X0),f18(f1(X1,f11(X2,union_of_members(X1))),X3,f11(X2,union_of_members(X1)),X0))
      | eq_p(f11(X2,union_of_members(X1)),X0)
      | ~ element_of_set(X0,f1(X1,f11(X2,union_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f3728,f278]) ).

fof(f4243,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(f1(ct,f11(X2,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X2))
      | disjoint_s(f17(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,cx))),X0),f18(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,cx))),X0))
      | eq_p(f11(X1,f1(ct,f11(X2,cx))),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3728,f315]) ).

fof(f4244,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(f1(ct,f11(X2,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X2))
      | disjoint_s(f17(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,empty_set))),X0),f18(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,empty_set))),X0))
      | eq_p(f11(X1,f1(ct,f11(X2,empty_set))),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3728,f314]) ).

fof(f4245,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ26_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | disjoint_s(f17(f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X3,f11(X2,intersection_of_members(top_of_basis(X1))),X0),f18(f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X3,f11(X2,intersection_of_members(top_of_basis(X1))),X0))
      | eq_p(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)],[f3728,f627]) ).

fof(f4246,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | disjoint_s(f17(intersection_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),f18(intersection_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0))
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3728,f416]) ).

fof(f4247,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ9_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | disjoint_s(f17(union_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),f18(union_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0))
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3728,f420]) ).

fof(f4248,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | disjoint_s(f17(f1(ct,f11(X1,cx)),X3,f11(X2,intersection_of_members(ct)),X0),f18(f1(ct,f11(X1,cx)),X3,f11(X2,intersection_of_members(ct)),X0))
      | eq_p(f11(X2,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3728,f394]) ).

fof(f4249,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(f1(ct,f11(X1,intersection_of_members(ct))),X2,f11(X1,intersection_of_members(ct)),X0),f18(f1(ct,f11(X1,intersection_of_members(ct))),X2,f11(X1,intersection_of_members(ct)),X0))
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f3728,f483]) ).

fof(f4250,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(union_of_members(ct),X2,f11(X1,intersection_of_members(ct)),X0),f18(union_of_members(ct),X2,f11(X1,intersection_of_members(ct)),X0))
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3728,f481]) ).

fof(f4251,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(cx,X2,f11(X1,intersection_of_members(ct)),X0),f18(cx,X2,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)],[f3728,f401]) ).

fof(f4252,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | disjoint_s(f17(empty_set,X2,f11(X1,intersection_of_members(ct)),X0),f18(empty_set,X2,f11(X1,intersection_of_members(ct)),X0))
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f3728,f400]) ).

fof(f4253,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(X2,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | disjoint_s(f17(f2(X1,X2),X4,f11(X3,intersection_of_members(X1)),X0),f18(f2(X1,X2),X4,f11(X3,intersection_of_members(X1)),X0))
      | eq_p(f11(X3,intersection_of_members(X1)),X0)
      | ~ element_of_set(X0,f2(X1,X2)) ),
    inference(resolution,[status(thm)],[f3728,f399]) ).

fof(f4254,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(X4,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | disjoint_s(f17(union_of_members(X1),X3,f11(X2,intersection_of_members(X1)),X0),f18(union_of_members(X1),X3,f11(X2,intersection_of_members(X1)),X0))
      | eq_p(f11(X2,intersection_of_members(X1)),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f524]) ).

fof(f4255,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(f1(ct,f11(X1,cx)),X2,f11(X1,cx),X0),f18(f1(ct,f11(X1,cx)),X2,f11(X1,cx),X0))
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3728,f312]) ).

fof(f4256,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | disjoint_s(f17(union_of_members(ct),X2,f11(X1,cx),X0),f18(union_of_members(ct),X2,f11(X1,cx),X0))
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3728,f307]) ).

fof(f4257,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | disjoint_s(f17(f1(ct,f11(X1,empty_set)),X2,f11(X1,empty_set),X0),f18(f1(ct,f11(X1,empty_set)),X2,f11(X1,empty_set),X0))
      | eq_p(f11(X1,empty_set),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f3728,f309]) ).

fof(f4258,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | disjoint_s(f17(union_of_members(ct),X2,f11(X1,empty_set),X0),f18(union_of_members(ct),X2,f11(X1,empty_set),X0))
      | eq_p(f11(X1,empty_set),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3728,f306]) ).

fof(f4259,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(X1,top_of_basis(X2))
      | disjoint_s(f17(X1,X3,f11(X2,X1),X0),f18(X1,X3,f11(X2,X1),X0))
      | eq_p(f11(X2,X1),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3728,f164]) ).

fof(f4260,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | disjoint_s(f17(union_of_members(X1),X3,X2,X0),f18(union_of_members(X1),X3,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f4011]) ).

fof(f4261,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_collection(f1(X1,f11(X4,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | disjoint_s(f17(intersection_of_members(X1),X3,X2,X0),f18(intersection_of_members(X1),X3,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f527]) ).

fof(f4262,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(f11(X4,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | disjoint_s(f17(intersection_of_members(X1),X3,X2,X0),f18(intersection_of_members(X1),X3,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f524]) ).

fof(f4263,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | limit_point(X1,a,cx,ct)
      | disjoint_s(f17(f16(X1,a,cx,ct),X2,X1,X0),f18(f16(X1,a,cx,ct),X2,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f3728,f762]) ).

fof(f4264,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_collection(f1(X2,f11(X4,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | disjoint_s(f17(intersection_of_members(X2),X3,X0,X1),f18(intersection_of_members(X2),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4261,f527]) ).

fof(f4265,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | disjoint_s(f17(intersection_of_members(X2),X3,X0,X1),f18(intersection_of_members(X2),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4262,f524]) ).

fof(f4269,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f17(union_of_members(X1),X4,f7(X2,X3),X0),f7(X2,X3),union_of_members(X1),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f4004]) ).

fof(f4270,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | neighborhood(f17(X1,X3,f7(X1,X2),X0),f7(X1,X2),X1,X3)
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3730,f760]) ).

fof(f4271,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(union_of_members(X1),top_of_basis(X2))
      | neighborhood(f17(f1(X1,f11(X2,union_of_members(X1))),X3,f11(X2,union_of_members(X1)),X0),f11(X2,union_of_members(X1)),f1(X1,f11(X2,union_of_members(X1))),X3)
      | eq_p(f11(X2,union_of_members(X1)),X0)
      | ~ element_of_set(X0,f1(X1,f11(X2,union_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f3730,f278]) ).

fof(f4272,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(f1(ct,f11(X2,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X2))
      | neighborhood(f17(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,cx))),X0),f11(X1,f1(ct,f11(X2,cx))),union_of_members(ct),X3)
      | eq_p(f11(X1,f1(ct,f11(X2,cx))),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3730,f315]) ).

fof(f4273,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(f1(ct,f11(X2,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X2))
      | neighborhood(f17(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,empty_set))),X0),f11(X1,f1(ct,f11(X2,empty_set))),union_of_members(ct),X3)
      | eq_p(f11(X1,f1(ct,f11(X2,empty_set))),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3730,f314]) ).

fof(f4274,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ26_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | neighborhood(f17(f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X3,f11(X2,intersection_of_members(top_of_basis(X1))),X0),f11(X2,intersection_of_members(top_of_basis(X1))),f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X3)
      | eq_p(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)],[f3730,f627]) ).

fof(f4275,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | neighborhood(f17(intersection_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),f11(X2,intersection_of_members(top_of_basis(X3))),intersection_of_members(top_of_basis(X1)),X4)
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3730,f416]) ).

fof(f4276,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ9_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | neighborhood(f17(union_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),f11(X2,intersection_of_members(top_of_basis(X3))),union_of_members(top_of_basis(X1)),X4)
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3730,f420]) ).

fof(f4277,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(f17(f1(ct,f11(X1,cx)),X3,f11(X2,intersection_of_members(ct)),X0),f11(X2,intersection_of_members(ct)),f1(ct,f11(X1,cx)),X3)
      | eq_p(f11(X2,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3730,f394]) ).

fof(f4278,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(f1(ct,f11(X1,intersection_of_members(ct))),X2,f11(X1,intersection_of_members(ct)),X0),f11(X1,intersection_of_members(ct)),f1(ct,f11(X1,intersection_of_members(ct))),X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f3730,f483]) ).

fof(f4279,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(union_of_members(ct),X2,f11(X1,intersection_of_members(ct)),X0),f11(X1,intersection_of_members(ct)),union_of_members(ct),X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3730,f481]) ).

fof(f4280,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(cx,X2,f11(X1,intersection_of_members(ct)),X0),f11(X1,intersection_of_members(ct)),cx,X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f3730,f401]) ).

fof(f4281,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f17(empty_set,X2,f11(X1,intersection_of_members(ct)),X0),f11(X1,intersection_of_members(ct)),empty_set,X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f3730,f400]) ).

fof(f4282,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(X2,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | neighborhood(f17(f2(X1,X2),X4,f11(X3,intersection_of_members(X1)),X0),f11(X3,intersection_of_members(X1)),f2(X1,X2),X4)
      | eq_p(f11(X3,intersection_of_members(X1)),X0)
      | ~ element_of_set(X0,f2(X1,X2)) ),
    inference(resolution,[status(thm)],[f3730,f399]) ).

fof(f4283,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(X4,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | neighborhood(f17(union_of_members(X1),X3,f11(X2,intersection_of_members(X1)),X0),f11(X2,intersection_of_members(X1)),union_of_members(X1),X3)
      | eq_p(f11(X2,intersection_of_members(X1)),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f524]) ).

fof(f4284,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(f1(ct,f11(X1,cx)),X2,f11(X1,cx),X0),f11(X1,cx),f1(ct,f11(X1,cx)),X2)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3730,f312]) ).

fof(f4285,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f17(union_of_members(ct),X2,f11(X1,cx),X0),f11(X1,cx),union_of_members(ct),X2)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3730,f307]) ).

fof(f4286,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | neighborhood(f17(f1(ct,f11(X1,empty_set)),X2,f11(X1,empty_set),X0),f11(X1,empty_set),f1(ct,f11(X1,empty_set)),X2)
      | eq_p(f11(X1,empty_set),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f3730,f309]) ).

fof(f4287,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | neighborhood(f17(union_of_members(ct),X2,f11(X1,empty_set),X0),f11(X1,empty_set),union_of_members(ct),X2)
      | eq_p(f11(X1,empty_set),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3730,f306]) ).

fof(f4288,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(X1,top_of_basis(X2))
      | neighborhood(f17(X1,X3,f11(X2,X1),X0),f11(X2,X1),X1,X3)
      | eq_p(f11(X2,X1),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3730,f164]) ).

fof(f4289,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | neighborhood(f17(union_of_members(X1),X3,X2,X0),X2,union_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f4011]) ).

fof(f4290,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_collection(f1(X1,f11(X4,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | neighborhood(f17(intersection_of_members(X1),X3,X2,X0),X2,intersection_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f527]) ).

fof(f4291,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(f11(X4,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | neighborhood(f17(intersection_of_members(X1),X3,X2,X0),X2,intersection_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f524]) ).

fof(f4292,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | limit_point(X1,a,cx,ct)
      | neighborhood(f17(f16(X1,a,cx,ct),X2,X1,X0),X1,f16(X1,a,cx,ct),X2)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f3730,f762]) ).

fof(f4293,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_collection(f1(X2,f11(X4,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | neighborhood(f17(intersection_of_members(X2),X3,X0,X1),X0,intersection_of_members(X2),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4290,f527]) ).

fof(f4294,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | neighborhood(f17(intersection_of_members(X2),X3,X0,X1),X0,intersection_of_members(X2),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4291,f524]) ).

fof(f4298,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f18(union_of_members(X1),X4,f7(X2,X3),X0),X0,union_of_members(X1),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f4004]) ).

fof(f4299,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | neighborhood(f18(X1,X3,f7(X1,X2),X0),X0,X1,X3)
      | eq_p(f7(X1,X2),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3729,f760]) ).

fof(f4300,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(union_of_members(X1),top_of_basis(X2))
      | neighborhood(f18(f1(X1,f11(X2,union_of_members(X1))),X3,f11(X2,union_of_members(X1)),X0),X0,f1(X1,f11(X2,union_of_members(X1))),X3)
      | eq_p(f11(X2,union_of_members(X1)),X0)
      | ~ element_of_set(X0,f1(X1,f11(X2,union_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f3729,f278]) ).

fof(f4301,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(f1(ct,f11(X2,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X2))
      | neighborhood(f18(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,cx))),X0),X0,union_of_members(ct),X3)
      | eq_p(f11(X1,f1(ct,f11(X2,cx))),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3729,f315]) ).

fof(f4302,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(f1(ct,f11(X2,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X2))
      | neighborhood(f18(union_of_members(ct),X3,f11(X1,f1(ct,f11(X2,empty_set))),X0),X0,union_of_members(ct),X3)
      | eq_p(f11(X1,f1(ct,f11(X2,empty_set))),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3729,f314]) ).

fof(f4303,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ26_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | neighborhood(f18(f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X3,f11(X2,intersection_of_members(top_of_basis(X1))),X0),X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X3)
      | eq_p(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)],[f3729,f627]) ).

fof(f4304,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | neighborhood(f18(intersection_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),X0,intersection_of_members(top_of_basis(X1)),X4)
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3729,f416]) ).

fof(f4305,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ9_spl
      | ~ sQ70_spl
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X2))
      | neighborhood(f18(union_of_members(top_of_basis(X1)),X4,f11(X2,intersection_of_members(top_of_basis(X3))),X0),X0,union_of_members(top_of_basis(X1)),X4)
      | eq_p(f11(X2,intersection_of_members(top_of_basis(X3))),X0)
      | ~ element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f3729,f420]) ).

fof(f4306,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X2))
      | neighborhood(f18(f1(ct,f11(X1,cx)),X3,f11(X2,intersection_of_members(ct)),X0),X0,f1(ct,f11(X1,cx)),X3)
      | eq_p(f11(X2,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3729,f394]) ).

fof(f4307,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(f1(ct,f11(X1,intersection_of_members(ct))),X2,f11(X1,intersection_of_members(ct)),X0),X0,f1(ct,f11(X1,intersection_of_members(ct))),X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,intersection_of_members(ct)))) ),
    inference(resolution,[status(thm)],[f3729,f483]) ).

fof(f4308,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(union_of_members(ct),X2,f11(X1,intersection_of_members(ct)),X0),X0,union_of_members(ct),X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3729,f481]) ).

fof(f4309,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(cx,X2,f11(X1,intersection_of_members(ct)),X0),X0,cx,X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,cx) ),
    inference(resolution,[status(thm)],[f3729,f401]) ).

fof(f4310,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(intersection_of_members(ct),top_of_basis(X1))
      | neighborhood(f18(empty_set,X2,f11(X1,intersection_of_members(ct)),X0),X0,empty_set,X2)
      | eq_p(f11(X1,intersection_of_members(ct)),X0)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f3729,f400]) ).

fof(f4311,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(X2,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | neighborhood(f18(f2(X1,X2),X4,f11(X3,intersection_of_members(X1)),X0),X0,f2(X1,X2),X4)
      | eq_p(f11(X3,intersection_of_members(X1)),X0)
      | ~ element_of_set(X0,f2(X1,X2)) ),
    inference(resolution,[status(thm)],[f3729,f399]) ).

fof(f4312,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(X4,intersection_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | neighborhood(f18(union_of_members(X1),X3,f11(X2,intersection_of_members(X1)),X0),X0,union_of_members(X1),X3)
      | eq_p(f11(X2,intersection_of_members(X1)),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f524]) ).

fof(f4313,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(f1(ct,f11(X1,cx)),X2,f11(X1,cx),X0),X0,f1(ct,f11(X1,cx)),X2)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,cx))) ),
    inference(resolution,[status(thm)],[f3729,f312]) ).

fof(f4314,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(cx,top_of_basis(X1))
      | neighborhood(f18(union_of_members(ct),X2,f11(X1,cx),X0),X0,union_of_members(ct),X2)
      | eq_p(f11(X1,cx),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3729,f307]) ).

fof(f4315,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | neighborhood(f18(f1(ct,f11(X1,empty_set)),X2,f11(X1,empty_set),X0),X0,f1(ct,f11(X1,empty_set)),X2)
      | eq_p(f11(X1,empty_set),X0)
      | ~ element_of_set(X0,f1(ct,f11(X1,empty_set))) ),
    inference(resolution,[status(thm)],[f3729,f309]) ).

fof(f4316,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | element_of_collection(empty_set,top_of_basis(X1))
      | neighborhood(f18(union_of_members(ct),X2,f11(X1,empty_set),X0),X0,union_of_members(ct),X2)
      | eq_p(f11(X1,empty_set),X0)
      | ~ element_of_set(X0,union_of_members(ct)) ),
    inference(resolution,[status(thm)],[f3729,f306]) ).

fof(f4317,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_collection(X1,top_of_basis(X2))
      | neighborhood(f18(X1,X3,f11(X2,X1),X0),X0,X1,X3)
      | eq_p(f11(X2,X1),X0)
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3729,f164]) ).

fof(f4318,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | neighborhood(f18(union_of_members(X1),X3,X2,X0),X0,union_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f4011]) ).

fof(f4319,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_collection(f1(X1,f11(X4,intersection_of_members(X1))),X1)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | neighborhood(f18(intersection_of_members(X1),X3,X2,X0),X0,intersection_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f527]) ).

fof(f4320,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(f11(X4,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | neighborhood(f18(intersection_of_members(X1),X3,X2,X0),X0,intersection_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f524]) ).

fof(f4321,plain,
    ! [X0,X1,X2] :
      ( ~ sQ70_spl
      | limit_point(X1,a,cx,ct)
      | neighborhood(f18(f16(X1,a,cx,ct),X2,X1,X0),X0,f16(X1,a,cx,ct),X2)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,a,cx,ct)) ),
    inference(resolution,[status(thm)],[f3729,f762]) ).

fof(f4322,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_collection(f1(X2,f11(X4,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | neighborhood(f18(intersection_of_members(X2),X3,X0,X1),X1,intersection_of_members(X2),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4319,f527]) ).

fof(f4323,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | neighborhood(f18(intersection_of_members(X2),X3,X0,X1),X1,intersection_of_members(X2),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4320,f524]) ).

fof(f4328,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f239,f413]) ).

fof(f4336,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | neighborhood(f16(X0,X1,cx,ct),X0,cx,ct)
      | limit_point(X0,X1,cx,ct) ),
    inference(backward_subsumption_resolution,[status(thm)],[f465,f4095]) ).

fof(f4337,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,X1,X0))
      | ~ element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f747]) ).

fof(f4339,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),f10(X2,union_of_members(X3),f7(X0,X1))) ),
    inference(resolution,[status(thm)],[f4337,f4004]) ).

fof(f4343,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_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)],[f160,f761]) ).

fof(f4344,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f4343,f4095]) ).

fof(f4345,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4344,f747]) ).

fof(f4348,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,union_of_members(X4),X0),X5,X0,X2),X2,f10(X3,union_of_members(X4),X0),X5)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,union_of_members(X4),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4096,f3729]) ).

fof(f4349,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,union_of_members(X4),X0),X5,X0,X2),X0,f10(X3,union_of_members(X4),X0),X5)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,union_of_members(X4),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4096,f3730]) ).

fof(f4350,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,union_of_members(X4),X0),X5,X0,X2),f18(f10(X3,union_of_members(X4),X0),X5,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,union_of_members(X4),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4096,f3728]) ).

fof(f4352,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f16(X0,a,cx,X1),X3,X0,X2),X2,f16(X0,a,cx,X1),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f16(X0,a,cx,X1))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3111,f3729]) ).

fof(f4353,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f16(X0,a,cx,X1),X3,X0,X2),X0,f16(X0,a,cx,X1),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f16(X0,a,cx,X1))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3111,f3730]) ).

fof(f4354,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f16(X0,a,cx,X1),X3,X0,X2),f18(f16(X0,a,cx,X1),X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f16(X0,a,cx,X1))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3111,f3728]) ).

fof(f4357,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4100,f4337]) ).

fof(f4358,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,union_of_members(X5),X0),X0),X6,X0,X2),X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X6)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4100,f3729]) ).

fof(f4359,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,union_of_members(X5),X0),X0),X6,X0,X2),X0,f10(X3,f10(X4,union_of_members(X5),X0),X0),X6)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4100,f3730]) ).

fof(f4360,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,union_of_members(X5),X0),X0),X6,X0,X2),f18(f10(X3,f10(X4,union_of_members(X5),X0),X0),X6,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4100,f3728]) ).

fof(f4362,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f16(X0,a,cx,X1),X0),X4,X0,X2),X2,f10(X3,f16(X0,a,cx,X1),X0),X4)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,a,cx,X1),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f3729]) ).

fof(f4363,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f16(X0,a,cx,X1),X0),X4,X0,X2),X0,f10(X3,f16(X0,a,cx,X1),X0),X4)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,a,cx,X1),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f3730]) ).

fof(f4364,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f16(X0,a,cx,X1),X0),X4,X0,X2),f18(f10(X3,f16(X0,a,cx,X1),X0),X4,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,a,cx,X1),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f3319,f3728]) ).

fof(f4365,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(X0,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4336,f198]) ).

fof(f4366,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f16(X0,X1,cx,ct),X0))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4365,f4337]) ).

fof(f4367,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f16(X0,X1,cx,ct),X3,X0,X2),X2,f16(X0,X1,cx,ct),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4365,f3729]) ).

fof(f4368,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f16(X0,X1,cx,ct),X3,X0,X2),X0,f16(X0,X1,cx,ct),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4365,f3730]) ).

fof(f4369,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f16(X0,X1,cx,ct),X3,X0,X2),f18(f16(X0,X1,cx,ct),X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f16(X0,X1,cx,ct))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4365,f3728]) ).

fof(f4371,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f16(X0,X1,cx,ct),X0),X4,X0,X2),X2,f10(X3,f16(X0,X1,cx,ct),X0),X4)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,X1,cx,ct),X0))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4366,f3729]) ).

fof(f4372,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f16(X0,X1,cx,ct),X0),X4,X0,X2),X0,f10(X3,f16(X0,X1,cx,ct),X0),X4)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,X1,cx,ct),X0))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4366,f3730]) ).

fof(f4373,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f16(X0,X1,cx,ct),X0),X4,X0,X2),f18(f10(X3,f16(X0,X1,cx,ct),X0),X4,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f16(X0,X1,cx,ct),X0))
      | limit_point(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f4366,f3728]) ).

fof(f4380,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X0,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4094,f198]) ).

fof(f4381,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X4,f16(X0,X1,X2,X3),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4380,f4337]) ).

fof(f4382,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f16(X0,X1,X2,X3),X5,X0,X4),X4,f16(X0,X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4380,f3729]) ).

fof(f4383,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f16(X0,X1,X2,X3),X5,X0,X4),X0,f16(X0,X1,X2,X3),X5)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4380,f3730]) ).

fof(f4384,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f16(X0,X1,X2,X3),X5,X0,X4),f18(f16(X0,X1,X2,X3),X5,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f16(X0,X1,X2,X3))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4380,f3728]) ).

fof(f4389,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4381,f4337]) ).

fof(f4390,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X5,f16(X0,X1,X2,X3),X0),X6,X0,X4),X4,f10(X5,f16(X0,X1,X2,X3),X0),X6)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f16(X0,X1,X2,X3),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4381,f3729]) ).

fof(f4391,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X5,f16(X0,X1,X2,X3),X0),X6,X0,X4),X0,f10(X5,f16(X0,X1,X2,X3),X0),X6)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f16(X0,X1,X2,X3),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4381,f3730]) ).

fof(f4392,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X5,f16(X0,X1,X2,X3),X0),X6,X0,X4),f18(f10(X5,f16(X0,X1,X2,X3),X0),X6,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f16(X0,X1,X2,X3),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4381,f3728]) ).

fof(f4394,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f7(X0,X1),f10(X2,f10(X3,union_of_members(X4),f7(X0,X1)),f7(X0,X1)))
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f4339,f4337]) ).

fof(f4399,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f736,f4095]) ).

fof(f4401,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f4328,f747]) ).

fof(f4403,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(X0,X1)
      | disjoint_s(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)),f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)))
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3800,f759]) ).

fof(f4404,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | basis(X0,X1)
      | disjoint_s(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)),f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)))
      | eq_p(f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f3800,f760]) ).

fof(f4405,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | disjoint_s(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)),f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)))
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f4403]) ).

fof(f4406,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(X0,X1)
      | neighborhood(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3787,f759]) ).

fof(f4407,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | basis(X0,X1)
      | neighborhood(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3)
      | eq_p(f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f3787,f760]) ).

fof(f4408,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | neighborhood(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f4406]) ).

fof(f4409,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,union_of_members(X1),f7(X2,X3)),X4)
      | disjoint_s(f17(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)),f18(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)))
      | eq_p(f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3803,f4339]) ).

fof(f4410,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,X1,f7(X1,X2)),X3)
      | disjoint_s(f17(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)),f18(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)))
      | eq_p(f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f3803,f3302]) ).

fof(f4411,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | disjoint_s(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)),f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)))
      | eq_p(f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3803,f759]) ).

fof(f4412,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(union_of_members(X0),X1)
      | disjoint_s(f17(union_of_members(X0),X4,f7(union_of_members(X0),X1),f7(X2,X3)),f18(union_of_members(X0),X4,f7(union_of_members(X0),X1),f7(X2,X3)))
      | eq_p(f7(union_of_members(X0),X1),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3803,f4004]) ).

fof(f4413,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X2)
      | basis(X0,X1)
      | disjoint_s(f17(X0,X3,f7(X0,X1),f7(X0,X2)),f18(X0,X3,f7(X0,X1),f7(X0,X2)))
      | eq_p(f7(X0,X1),f7(X0,X2)) ),
    inference(resolution,[status(thm)],[f3803,f760]) ).

fof(f4414,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | basis(f10(X0,f16(X1,X2,X3,X4),X1),X5)
      | disjoint_s(f17(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1),f18(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1))
      | eq_p(f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f3803,f4381]) ).

fof(f4415,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X6)
      | basis(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4)
      | disjoint_s(f17(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3),f18(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3))
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3) ),
    inference(resolution,[status(thm)],[f3803,f4100]) ).

fof(f4416,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X5)
      | basis(f10(X0,union_of_members(X1),X2),X3)
      | disjoint_s(f17(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2),f18(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2))
      | eq_p(f7(f10(X0,union_of_members(X1),X2),X3),X2) ),
    inference(resolution,[status(thm)],[f3803,f4096]) ).

fof(f4417,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | basis(union_of_members(X0),X1)
      | disjoint_s(f17(union_of_members(X0),X3,f7(union_of_members(X0),X1),X2),f18(union_of_members(X0),X3,f7(union_of_members(X0),X1),X2))
      | eq_p(f7(union_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f3803,f4011]) ).

fof(f4418,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | basis(f16(X0,X1,X2,X3),X4)
      | disjoint_s(f17(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0),f18(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0))
      | eq_p(f7(f16(X0,X1,X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f3803,f4380]) ).

fof(f4419,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,union_of_members(X1),f7(X2,X3)),X4)
      | neighborhood(f17(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)),f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f10(X0,union_of_members(X1),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3789,f4339]) ).

fof(f4420,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,X1,f7(X1,X2)),X3)
      | neighborhood(f17(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)),f7(f10(X0,X1,f7(X1,X2)),X3),f10(X0,X1,f7(X1,X2)),X4)
      | eq_p(f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f3789,f3302]) ).

fof(f4421,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | neighborhood(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3)
      | eq_p(f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3789,f759]) ).

fof(f4422,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(union_of_members(X0),X1)
      | neighborhood(f17(union_of_members(X0),X4,f7(union_of_members(X0),X1),f7(X2,X3)),f7(union_of_members(X0),X1),union_of_members(X0),X4)
      | eq_p(f7(union_of_members(X0),X1),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3789,f4004]) ).

fof(f4423,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X2)
      | basis(X0,X1)
      | neighborhood(f17(X0,X3,f7(X0,X1),f7(X0,X2)),f7(X0,X1),X0,X3)
      | eq_p(f7(X0,X1),f7(X0,X2)) ),
    inference(resolution,[status(thm)],[f3789,f760]) ).

fof(f4424,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | basis(f10(X0,f16(X1,X2,X3,X4),X1),X5)
      | neighborhood(f17(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1),f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),f10(X0,f16(X1,X2,X3,X4),X1),X6)
      | eq_p(f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f3789,f4381]) ).

fof(f4425,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X6)
      | basis(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4)
      | neighborhood(f17(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3),f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),f10(X0,f10(X1,union_of_members(X2),X3),X3),X5)
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3) ),
    inference(resolution,[status(thm)],[f3789,f4100]) ).

fof(f4426,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X5)
      | basis(f10(X0,union_of_members(X1),X2),X3)
      | neighborhood(f17(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2),f7(f10(X0,union_of_members(X1),X2),X3),f10(X0,union_of_members(X1),X2),X4)
      | eq_p(f7(f10(X0,union_of_members(X1),X2),X3),X2) ),
    inference(resolution,[status(thm)],[f3789,f4096]) ).

fof(f4427,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | basis(union_of_members(X0),X1)
      | neighborhood(f17(union_of_members(X0),X3,f7(union_of_members(X0),X1),X2),f7(union_of_members(X0),X1),union_of_members(X0),X3)
      | eq_p(f7(union_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f3789,f4011]) ).

fof(f4428,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | basis(f16(X0,X1,X2,X3),X4)
      | neighborhood(f17(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0),f7(f16(X0,X1,X2,X3),X4),f16(X0,X1,X2,X3),X5)
      | eq_p(f7(f16(X0,X1,X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f3789,f4380]) ).

fof(f4429,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,union_of_members(X1),f7(X2,X3)),X4)
      | neighborhood(f18(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)),f7(X2,X3),f10(X0,union_of_members(X1),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3785,f4339]) ).

fof(f4430,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,X1,f7(X1,X2)),X3)
      | neighborhood(f18(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)),f7(X1,X2),f10(X0,X1,f7(X1,X2)),X4)
      | eq_p(f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f3785,f3302]) ).

fof(f4431,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | neighborhood(f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3)
      | eq_p(f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3785,f759]) ).

fof(f4432,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(union_of_members(X0),X1)
      | neighborhood(f18(union_of_members(X0),X4,f7(union_of_members(X0),X1),f7(X2,X3)),f7(X2,X3),union_of_members(X0),X4)
      | eq_p(f7(union_of_members(X0),X1),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f3785,f4004]) ).

fof(f4433,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X2)
      | basis(X0,X1)
      | neighborhood(f18(X0,X3,f7(X0,X1),f7(X0,X2)),f7(X0,X2),X0,X3)
      | eq_p(f7(X0,X1),f7(X0,X2)) ),
    inference(resolution,[status(thm)],[f3785,f760]) ).

fof(f4434,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | basis(f10(X0,f16(X1,X2,X3,X4),X1),X5)
      | neighborhood(f18(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1),X1,f10(X0,f16(X1,X2,X3,X4),X1),X6)
      | eq_p(f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f3785,f4381]) ).

fof(f4435,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X6)
      | basis(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4)
      | neighborhood(f18(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3),X3,f10(X0,f10(X1,union_of_members(X2),X3),X3),X5)
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3) ),
    inference(resolution,[status(thm)],[f3785,f4100]) ).

fof(f4436,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X5)
      | basis(f10(X0,union_of_members(X1),X2),X3)
      | neighborhood(f18(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2),X2,f10(X0,union_of_members(X1),X2),X4)
      | eq_p(f7(f10(X0,union_of_members(X1),X2),X3),X2) ),
    inference(resolution,[status(thm)],[f3785,f4096]) ).

fof(f4437,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | basis(union_of_members(X0),X1)
      | neighborhood(f18(union_of_members(X0),X3,f7(union_of_members(X0),X1),X2),X2,union_of_members(X0),X3)
      | eq_p(f7(union_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f3785,f4011]) ).

fof(f4438,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | basis(f16(X0,X1,X2,X3),X4)
      | neighborhood(f18(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0),X0,f16(X0,X1,X2,X3),X5)
      | eq_p(f7(f16(X0,X1,X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f3785,f4380]) ).

fof(f4446,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(union_of_members(X6),X7)
      | neighborhood(f18(union_of_members(X6),X8,f7(union_of_members(X6),X7),X0),X0,union_of_members(X6),X8)
      | eq_p(f7(union_of_members(X6),X7),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f4013,f3785]) ).

fof(f4447,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(union_of_members(X6),X7)
      | neighborhood(f17(union_of_members(X6),X8,f7(union_of_members(X6),X7),X0),f7(union_of_members(X6),X7),union_of_members(X6),X8)
      | eq_p(f7(union_of_members(X6),X7),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f4013,f3789]) ).

fof(f4448,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(union_of_members(X6),X7)
      | disjoint_s(f17(union_of_members(X6),X8,f7(union_of_members(X6),X7),X0),f18(union_of_members(X6),X8,f7(union_of_members(X6),X7),X0))
      | eq_p(f7(union_of_members(X6),X7),X0)
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f4013,f3803]) ).

fof(f4449,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X6,union_of_members(X7),X0))
      | basis(boundary(X1,X2,X4),X5)
      | limit_point(X0,relative_complement_sets(X1,X2),X2,X3) ),
    inference(resolution,[status(thm)],[f4013,f4337]) ).

fof(f4453,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | basis(boundary(X0,X1,X2),X3)
      | basis(boundary(X4,X5,X7),X8)
      | element_of_set(f7(boundary(X0,X1,X2),X3),interior(relative_complement_sets(X4,X5),X5,X6)) ),
    inference(resolution,[status(thm)],[f4088,f974]) ).

fof(f4454,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f4088,f4339]) ).

fof(f4455,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f4088,f3302]) ).

fof(f4456,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f4088,f759]) ).

fof(f4457,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f4088,f4004]) ).

fof(f4458,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4)) ),
    inference(resolution,[status(thm)],[f4088,f760]) ).

fof(f4459,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,X6,X7,X8)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f4088,f4381]) ).

fof(f4460,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f4088,f4100]) ).

fof(f4461,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f4088,f4096]) ).

fof(f4462,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X6,X7,X9),X10)
      | limit_point(X0,relative_complement_sets(X6,X7),X7,X8)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f4088,f4013]) ).

fof(f4463,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(resolution,[status(thm)],[f4088,f4011]) ).

fof(f4466,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6)
      | neighborhood(f18(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X7,f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0),X0,f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X7)
      | eq_p(f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3785]) ).

fof(f4467,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6)
      | neighborhood(f17(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X7,f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0),f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X7)
      | eq_p(f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3789]) ).

fof(f4468,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6)
      | disjoint_s(f17(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X7,f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0),f18(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X7,f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0))
      | eq_p(f7(f10(X4,f10(X5,f16(X0,X1,X2,X3),X0),X0),X6),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3803]) ).

fof(f4469,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f4337]) ).

fof(f4470,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4),X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3729]) ).

fof(f4471,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4),X0,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3730]) ).

fof(f4472,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4),f18(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3728]) ).

fof(f4475,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4))
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3413,f4088]) ).

fof(f4483,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_spl
      | basis(boundary(X8,X9,X11),X12)
      | element_of_set(X4,interior(relative_complement_sets(X8,X9),X9,X10))
      | limit_point(X4,X5,X6,X7)
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f4459,f4088]) ).

fof(f4487,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | element_of_set(X4,f10(X8,interior(relative_complement_sets(X0,X1),X1,X9),X4))
      | limit_point(X4,X5,X6,X7)
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f4459,f4337]) ).

fof(f4491,definition,
    ! [X0,X1,X2,X3] :
      ( sQ82_spl
    <=> basis(boundary(X0,X1,X2),X3) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f4492,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | basis(boundary(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f4491]) ).

fof(f4494,definition,
    ! [X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( sQ83_spl
    <=> ( basis(boundary(X8,X9,X11),X12)
        | element_of_set(X4,interior(relative_complement_sets(X8,X9),X9,X10))
        | limit_point(X4,X5,X6,X7) ) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f4495,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ83_spl
      | basis(boundary(X4,X5,X7),X8)
      | element_of_set(X0,interior(relative_complement_sets(X4,X5),X5,X6))
      | limit_point(X0,X1,X2,X3) ),
    inference(component_clause,[status(thm)],[f4494]) ).

fof(f4497,plain,
    ( ~ sQ7_spl
    | sQ83_spl
    | sQ82_spl ),
    inference(split_clause,[status(thm)],[f4483,f4491,f4494,f412]) ).

fof(f4506,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | basis(boundary(X6,X7,X9),X10)
      | element_of_set(f7(X4,X5),interior(relative_complement_sets(X6,X7),X7,X8))
      | basis(X4,X5)
      | basis(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f4093,f4088]) ).

fof(f4514,definition,
    ! [X4,X5,X6,X7,X8,X9,X10] :
      ( sQ84_spl
    <=> ( basis(boundary(X6,X7,X9),X10)
        | element_of_set(f7(X4,X5),interior(relative_complement_sets(X6,X7),X7,X8))
        | basis(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f4515,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ84_spl
      | basis(boundary(X2,X3,X5),X6)
      | element_of_set(f7(X0,X1),interior(relative_complement_sets(X2,X3),X3,X4))
      | basis(X0,X1) ),
    inference(component_clause,[status(thm)],[f4514]) ).

fof(f4517,plain,
    ( ~ sQ7_spl
    | sQ84_spl
    | sQ82_spl ),
    inference(split_clause,[status(thm)],[f4506,f4491,f4514,f412]) ).

fof(f4519,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6)
      | neighborhood(f18(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X7,f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0),X0,f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X7)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f3785]) ).

fof(f4520,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6)
      | neighborhood(f17(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X7,f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0),f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X7)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f3789]) ).

fof(f4521,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6)
      | disjoint_s(f17(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X7,f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0),f18(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X7,f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0))
      | eq_p(f7(f10(X2,f10(X3,f10(X4,union_of_members(X5),X0),X0),X0),X6),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f3803]) ).

fof(f4522,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f4337]) ).

fof(f4523,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2),X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f3729]) ).

fof(f4524,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2),X0,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f3730]) ).

fof(f4525,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2),f18(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4104,f3728]) ).

fof(f4526,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | basis(boundary(X3,X4,X6),X7)
      | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f4088]) ).

fof(f4527,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | ~ sQ67_spl
      | basis(interior(a,f14(a,cx,X1,X0),X2),X3)
      | neighborhood(f18(interior(a,f14(a,cx,X1,X0),X2),X5,f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4),X4,interior(a,f14(a,cx,X1,X0),X2),X5)
      | eq_p(f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f3785]) ).

fof(f4528,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | ~ sQ67_spl
      | basis(interior(a,f14(a,cx,X1,X0),X2),X3)
      | neighborhood(f17(interior(a,f14(a,cx,X1,X0),X2),X5,f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4),f7(interior(a,f14(a,cx,X1,X0),X2),X3),interior(a,f14(a,cx,X1,X0),X2),X5)
      | eq_p(f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f3789]) ).

fof(f4529,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | ~ sQ67_spl
      | basis(interior(a,f14(a,cx,X1,X0),X2),X3)
      | disjoint_s(f17(interior(a,f14(a,cx,X1,X0),X2),X5,f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4),f18(interior(a,f14(a,cx,X1,X0),X2),X5,f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4))
      | eq_p(f7(interior(a,f14(a,cx,X1,X0),X2),X3),X4)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f3803]) ).

fof(f4530,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ67_spl
      | element_of_set(X2,f10(X3,interior(a,f14(a,cx,X1,X0),X4),X2))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f4337]) ).

fof(f4531,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ67_spl
      | neighborhood(f18(interior(a,f14(a,cx,X1,X0),X3),X5,X4,X2),X2,interior(a,f14(a,cx,X1,X0),X3),X5)
      | eq_p(X4,X2)
      | ~ element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f3729]) ).

fof(f4532,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ67_spl
      | neighborhood(f17(interior(a,f14(a,cx,X1,X0),X3),X5,X4,X2),X4,interior(a,f14(a,cx,X1,X0),X3),X5)
      | eq_p(X4,X2)
      | ~ element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f3730]) ).

fof(f4533,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ67_spl
      | disjoint_s(f17(interior(a,f14(a,cx,X1,X0),X3),X5,X4,X2),f18(interior(a,f14(a,cx,X1,X0),X3),X5,X4,X2))
      | eq_p(X4,X2)
      | ~ element_of_set(X2,interior(a,f14(a,cx,X1,X0),X3))
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f3380,f3728]) ).

fof(f4534,definition,
    ! [X2,X3,X4,X5,X6,X7] :
      ( sQ85_spl
    <=> ( basis(boundary(X3,X4,X6),X7)
        | element_of_set(X2,interior(relative_complement_sets(X3,X4),X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f4535,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | basis(boundary(X1,X2,X4),X5)
      | element_of_set(X0,interior(relative_complement_sets(X1,X2),X2,X3)) ),
    inference(component_clause,[status(thm)],[f4534]) ).

fof(f4537,plain,
    ( ~ sQ7_spl
    | ~ sQ67_spl
    | sQ85_spl
    | sQ80_spl ),
    inference(split_clause,[status(thm)],[f4526,f4111,f4534,f3379,f412]) ).

fof(f4538,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ67_spl
      | neighborhood(f18(interior(a,f14(a,cx,X1,X0),X4),X5,X2,X3),X3,interior(a,f14(a,cx,X1,X0),X4),X5)
      | eq_p(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4531,f3380]) ).

fof(f4539,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ67_spl
      | neighborhood(f17(interior(a,f14(a,cx,X1,X0),X4),X5,X2,X3),X2,interior(a,f14(a,cx,X1,X0),X4),X5)
      | eq_p(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4532,f3380]) ).

fof(f4540,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ67_spl
      | disjoint_s(f17(interior(a,f14(a,cx,X1,X0),X4),X5,X2,X3),f18(interior(a,f14(a,cx,X1,X0),X4),X5,X2,X3))
      | eq_p(X2,X3)
      | element_of_set(X0,closure(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4533,f3380]) ).

fof(f4541,plain,
    ( ~ sQ68_spl
    | ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3383,f4095]) ).

fof(f4542,plain,
    ( ~ sQ68_spl
    | ~ sQ7_spl ),
    inference(contradiction_clause,[status(thm)],[f4541]) ).

fof(f4545,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | element_of_set(f11(X2,f2(X0,X1)),union_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f281,f118]) ).

fof(f4546,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),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)],[f277,f281]) ).

fof(f4547,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,cx))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,cx)),top_of_basis(X1))
      | element_of_collection(cx,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f311,f281]) ).

fof(f4548,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,f1(ct,f11(X0,empty_set))),union_of_members(ct))
      | element_of_collection(f1(ct,f11(X0,empty_set)),top_of_basis(X1))
      | element_of_collection(empty_set,top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f308,f281]) ).

fof(f4549,plain,
    ! [X0,X1] :
      ( element_of_collection(empty_set,top_of_basis(X1))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,empty_set)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f308]) ).

fof(f4550,plain,
    ! [X0,X1] :
      ( element_of_collection(cx,top_of_basis(X1))
      | element_of_set(f11(X0,intersection_of_members(ct)),f1(ct,f11(X1,cx)))
      | element_of_collection(intersection_of_members(ct),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f276,f311]) ).

fof(f4551,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,union_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f277]) ).

fof(f4552,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),closure(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f280]) ).

fof(f4553,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),closure(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f279]) ).

fof(f4554,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),f2(X0,X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f276,f118]) ).

fof(f4555,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)],[f209,f164]) ).

fof(f4556,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | disjoint_s(f17(intersection_of_members(X1),X3,X0,X2),f18(intersection_of_members(X1),X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,intersection_of_members(X1))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3011,f218]) ).

fof(f4557,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | neighborhood(f17(intersection_of_members(X1),X3,X0,X2),X0,intersection_of_members(X1),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,intersection_of_members(X1))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3011,f216]) ).

fof(f4558,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | neighborhood(f18(intersection_of_members(X1),X3,X0,X2),X2,intersection_of_members(X1),X3)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,intersection_of_members(X1))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3011,f217]) ).

fof(f4559,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)],[f284,f218]) ).

fof(f4560,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)],[f284,f216]) ).

fof(f4561,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)],[f284,f217]) ).

fof(f4566,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)],[f272,f207]) ).

fof(f4567,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)],[f272,f191]) ).

fof(f4568,plain,
    ! [X0,X1] :
      ( ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),cx)
      | ~ element_of_collection(X1,ct)
      | ~ element_of_collection(X0,ct)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,cx,ct) ),
    inference(resolution,[status(thm)],[f272,f239]) ).

fof(f4587,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,f6(X0,X1,X2,X4,X3))
      | ~ element_of_set(X2,intersection_of_sets(X4,X3))
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f153,f747]) ).

fof(f4588,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ82_spl
      | ~ sQ7_spl
      | element_of_set(X0,f6(boundary(X1,X2,X3),X5,X0,X6,X4))
      | ~ element_of_set(X0,intersection_of_sets(X6,X4))
      | ~ element_of_collection(X4,X5)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f4587,f4492]) ).

fof(f4589,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ66_spl
      | ~ sQ7_spl
      | element_of_set(X0,f6(intersection_of_members(X1),X3,X0,X4,X2))
      | ~ element_of_set(X0,intersection_of_sets(X4,X2))
      | ~ element_of_collection(X2,X3)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f4587,f3142]) ).

fof(f4590,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ82_spl
      | ~ sQ7_spl
      | element_of_set(X0,f6(boundary(X1,X2,X3),X6,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4588,f747]) ).

fof(f4591,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ66_spl
      | ~ sQ7_spl
      | element_of_set(X0,f6(intersection_of_members(X1),X4,X0,X2,X3))
      | ~ element_of_set(X0,intersection_of_sets(X2,X3))
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4589,f747]) ).

fof(f4611,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | disjoint_s(f17(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0),f18(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0))
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,f10(X1,X2,f7(X2,X3))) ),
    inference(resolution,[status(thm)],[f3728,f3302]) ).

fof(f4612,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | disjoint_s(f17(union_of_members(X1),X4,f7(X2,X3),X0),f18(union_of_members(X1),X4,f7(X2,X3),X0))
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f4004]) ).

fof(f4614,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,X3,X4,X5)
      | disjoint_s(f17(f10(X1,f16(X2,X3,X4,X5),X2),X6,X2,X0),f18(f10(X1,f16(X2,X3,X4,X5),X2),X6,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,f10(X1,f16(X2,X3,X4,X5),X2)) ),
    inference(resolution,[status(thm)],[f3728,f4381]) ).

fof(f4615,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X6)
      | disjoint_s(f17(f10(X1,f10(X2,union_of_members(X3),X4),X4),X5,X4,X0),f18(f10(X1,f10(X2,union_of_members(X3),X4),X4),X5,X4,X0))
      | eq_p(X4,X0)
      | ~ element_of_set(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4)) ),
    inference(resolution,[status(thm)],[f3728,f4100]) ).

fof(f4616,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X5)
      | disjoint_s(f17(f10(X1,union_of_members(X2),X3),X4,X3,X0),f18(f10(X1,union_of_members(X2),X3),X4,X3,X0))
      | eq_p(X3,X0)
      | ~ element_of_set(X0,f10(X1,union_of_members(X2),X3)) ),
    inference(resolution,[status(thm)],[f3728,f4096]) ).

fof(f4617,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | disjoint_s(f17(union_of_members(X1),X3,X2,X0),f18(union_of_members(X1),X3,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3728,f4011]) ).

fof(f4618,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | disjoint_s(f17(f16(X1,X2,X3,X4),X5,X1,X0),f18(f16(X1,X2,X3,X4),X5,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3728,f4380]) ).

fof(f4620,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f17(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0),f7(X2,X3),f10(X1,X2,f7(X2,X3)),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,f10(X1,X2,f7(X2,X3))) ),
    inference(resolution,[status(thm)],[f3730,f3302]) ).

fof(f4621,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f17(union_of_members(X1),X4,f7(X2,X3),X0),f7(X2,X3),union_of_members(X1),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f4004]) ).

fof(f4623,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,X3,X4,X5)
      | neighborhood(f17(f10(X1,f16(X2,X3,X4,X5),X2),X6,X2,X0),X2,f10(X1,f16(X2,X3,X4,X5),X2),X6)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,f10(X1,f16(X2,X3,X4,X5),X2)) ),
    inference(resolution,[status(thm)],[f3730,f4381]) ).

fof(f4624,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X6)
      | neighborhood(f17(f10(X1,f10(X2,union_of_members(X3),X4),X4),X5,X4,X0),X4,f10(X1,f10(X2,union_of_members(X3),X4),X4),X5)
      | eq_p(X4,X0)
      | ~ element_of_set(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4)) ),
    inference(resolution,[status(thm)],[f3730,f4100]) ).

fof(f4625,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X5)
      | neighborhood(f17(f10(X1,union_of_members(X2),X3),X4,X3,X0),X3,f10(X1,union_of_members(X2),X3),X4)
      | eq_p(X3,X0)
      | ~ element_of_set(X0,f10(X1,union_of_members(X2),X3)) ),
    inference(resolution,[status(thm)],[f3730,f4096]) ).

fof(f4626,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | neighborhood(f17(union_of_members(X1),X3,X2,X0),X2,union_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3730,f4011]) ).

fof(f4627,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | neighborhood(f17(f16(X1,X2,X3,X4),X5,X1,X0),X1,f16(X1,X2,X3,X4),X5)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3730,f4380]) ).

fof(f4629,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f18(f10(X1,X2,f7(X2,X3)),X4,f7(X2,X3),X0),X0,f10(X1,X2,f7(X2,X3)),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,f10(X1,X2,f7(X2,X3))) ),
    inference(resolution,[status(thm)],[f3729,f3302]) ).

fof(f4630,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | neighborhood(f18(union_of_members(X1),X4,f7(X2,X3),X0),X0,union_of_members(X1),X4)
      | eq_p(f7(X2,X3),X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f4004]) ).

fof(f4632,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,X3,X4,X5)
      | neighborhood(f18(f10(X1,f16(X2,X3,X4,X5),X2),X6,X2,X0),X0,f10(X1,f16(X2,X3,X4,X5),X2),X6)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,f10(X1,f16(X2,X3,X4,X5),X2)) ),
    inference(resolution,[status(thm)],[f3729,f4381]) ).

fof(f4633,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X6)
      | neighborhood(f18(f10(X1,f10(X2,union_of_members(X3),X4),X4),X5,X4,X0),X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X5)
      | eq_p(X4,X0)
      | ~ element_of_set(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4)) ),
    inference(resolution,[status(thm)],[f3729,f4100]) ).

fof(f4634,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X5)
      | neighborhood(f18(f10(X1,union_of_members(X2),X3),X4,X3,X0),X0,f10(X1,union_of_members(X2),X3),X4)
      | eq_p(X3,X0)
      | ~ element_of_set(X0,f10(X1,union_of_members(X2),X3)) ),
    inference(resolution,[status(thm)],[f3729,f4096]) ).

fof(f4635,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | neighborhood(f18(union_of_members(X1),X3,X2,X0),X0,union_of_members(X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3729,f4011]) ).

fof(f4636,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | neighborhood(f18(f16(X1,X2,X3,X4),X5,X1,X0),X0,f16(X1,X2,X3,X4),X5)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,f16(X1,X2,X3,X4)) ),
    inference(resolution,[status(thm)],[f3729,f4380]) ).

fof(f4638,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4401,f747]) ).

fof(f4644,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4),X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3729]) ).

fof(f4645,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4),X0,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3730]) ).

fof(f4646,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4),f18(f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X7,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4389,f3728]) ).

fof(f4651,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2),X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4357,f3729]) ).

fof(f4652,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2),X0,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4357,f3730]) ).

fof(f4653,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2),f18(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4357,f3728]) ).

fof(f4654,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(X0,X1)
      | neighborhood(f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f3783,f759]) ).

fof(f4655,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | basis(X0,X1)
      | neighborhood(f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3)
      | eq_p(f7(X0,X1),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)) ),
    inference(resolution,[status(thm)],[f3783,f760]) ).

fof(f4656,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | neighborhood(f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,f7(X0,X1),f7(X0,X1)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | eq_p(f7(X0,X1),f7(X0,X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f4654]) ).

fof(f4657,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | disjoint_s(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)),f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)))
      | eq_p(f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f4241,f759]) ).

fof(f4658,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4)
      | disjoint_s(f17(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f18(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)))
      | eq_p(f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4241,f3413]) ).

fof(f4659,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,union_of_members(X1),f7(X2,X3)),X4)
      | disjoint_s(f17(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)),f18(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)))
      | eq_p(f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4241,f4339]) ).

fof(f4660,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,X1,f7(X1,X2)),X3)
      | disjoint_s(f17(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)),f18(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)))
      | eq_p(f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f4241,f3302]) ).

fof(f4661,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(union_of_members(X0),X1)
      | disjoint_s(f17(union_of_members(X0),X4,f7(union_of_members(X0),X1),f7(X2,X3)),f18(union_of_members(X0),X4,f7(union_of_members(X0),X1),f7(X2,X3)))
      | eq_p(f7(union_of_members(X0),X1),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4241,f4004]) ).

fof(f4662,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X2)
      | basis(X0,X1)
      | disjoint_s(f17(X0,X3,f7(X0,X1),f7(X0,X2)),f18(X0,X3,f7(X0,X1),f7(X0,X2)))
      | eq_p(f7(X0,X1),f7(X0,X2)) ),
    inference(resolution,[status(thm)],[f4241,f760]) ).

fof(f4663,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | basis(f10(X0,f16(X1,X2,X3,X4),X1),X5)
      | disjoint_s(f17(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1),f18(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1))
      | eq_p(f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f4241,f4381]) ).

fof(f4664,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X7)
      | basis(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5)
      | disjoint_s(f17(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X6,f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4),f18(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X6,f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4))
      | eq_p(f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4) ),
    inference(resolution,[status(thm)],[f4241,f4357]) ).

fof(f4665,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,X3,X4,X5)
      | basis(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6)
      | disjoint_s(f17(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X7,f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2),f18(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X7,f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2))
      | eq_p(f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2) ),
    inference(resolution,[status(thm)],[f4241,f4389]) ).

fof(f4666,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X6)
      | basis(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4)
      | disjoint_s(f17(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3),f18(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3))
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3) ),
    inference(resolution,[status(thm)],[f4241,f4100]) ).

fof(f4667,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X5)
      | basis(f10(X0,union_of_members(X1),X2),X3)
      | disjoint_s(f17(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2),f18(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2))
      | eq_p(f7(f10(X0,union_of_members(X1),X2),X3),X2) ),
    inference(resolution,[status(thm)],[f4241,f4096]) ).

fof(f4668,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X4)
      | basis(union_of_members(X0),X1)
      | disjoint_s(f17(union_of_members(X0),X3,f7(union_of_members(X0),X1),X2),f18(union_of_members(X0),X3,f7(union_of_members(X0),X1),X2))
      | eq_p(f7(union_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f4241,f4011]) ).

fof(f4669,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | basis(f16(X0,X1,X2,X3),X4)
      | disjoint_s(f17(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0),f18(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0))
      | eq_p(f7(f16(X0,X1,X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f4241,f4380]) ).

fof(f4671,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f18(closure(a,cx,X1),X3,X2,X0),X0,closure(a,cx,X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4112,f3729]) ).

fof(f4672,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f17(closure(a,cx,X1),X3,X2,X0),X2,closure(a,cx,X1),X3)
      | eq_p(X2,X0)
      | ~ element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4112,f3730]) ).

fof(f4673,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | disjoint_s(f17(closure(a,cx,X1),X3,X2,X0),f18(closure(a,cx,X1),X3,X2,X0))
      | eq_p(X2,X0)
      | ~ element_of_set(X0,closure(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4112,f3728]) ).

fof(f4674,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f18(closure(a,cx,X2),X3,X0,X1),X1,closure(a,cx,X2),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4671,f4112]) ).

fof(f4675,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f17(closure(a,cx,X2),X3,X0,X1),X0,closure(a,cx,X2),X3)
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4672,f4112]) ).

fof(f4676,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | disjoint_s(f17(closure(a,cx,X2),X3,X0,X1),f18(closure(a,cx,X2),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4673,f4112]) ).

fof(f4692,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f753,f4381]) ).

fof(f4694,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f753,f4389]) ).

fof(f4698,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f753,f4380]) ).

fof(f4716,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | element_of_set(X1,f18(closure(a,cx,X2),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4674,f198]) ).

fof(f4718,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f18(f18(closure(a,cx,X3),X4,X0,X1),X5,X1,X2),X2,f18(closure(a,cx,X3),X4,X0,X1),X5)
      | eq_p(X1,X2)
      | ~ element_of_set(X2,f18(closure(a,cx,X3),X4,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4716,f3729]) ).

fof(f4719,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f17(f18(closure(a,cx,X3),X4,X0,X1),X5,X1,X2),X1,f18(closure(a,cx,X3),X4,X0,X1),X5)
      | eq_p(X1,X2)
      | ~ element_of_set(X2,f18(closure(a,cx,X3),X4,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4716,f3730]) ).

fof(f4720,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | disjoint_s(f17(f18(closure(a,cx,X3),X4,X0,X1),X5,X1,X2),f18(f18(closure(a,cx,X3),X4,X0,X1),X5,X1,X2))
      | eq_p(X1,X2)
      | ~ element_of_set(X2,f18(closure(a,cx,X3),X4,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4716,f3728]) ).

fof(f4721,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | element_of_set(X0,f17(closure(a,cx,X2),X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4675,f198]) ).

fof(f4723,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f18(f17(closure(a,cx,X3),X4,X0,X1),X5,X0,X2),X2,f17(closure(a,cx,X3),X4,X0,X1),X5)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f17(closure(a,cx,X3),X4,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4721,f3729]) ).

fof(f4724,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | neighborhood(f17(f17(closure(a,cx,X3),X4,X0,X1),X5,X0,X2),X0,f17(closure(a,cx,X3),X4,X0,X1),X5)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f17(closure(a,cx,X3),X4,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4721,f3730]) ).

fof(f4725,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | disjoint_s(f17(f17(closure(a,cx,X3),X4,X0,X1),X5,X0,X2),f18(f17(closure(a,cx,X3),X4,X0,X1),X5,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f17(closure(a,cx,X3),X4,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f4721,f3728]) ).

fof(f4735,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0),X7)
      | disjoint_s(f17(f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0),X8,f7(f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0),X7),X0),f18(f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0),X8,f7(f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0),X7),X0))
      | eq_p(f7(f10(X4,f10(X5,f10(X6,f16(X0,X1,X2,X3),X0),X0),X0),X7),X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4469,f4241]) ).

fof(f4736,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X8,X0,X4),X4,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X8)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4469,f3729]) ).

fof(f4737,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X8,X0,X4),X0,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X8)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4469,f3730]) ).

fof(f4738,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X8,X0,X4),f18(f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X8,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4469,f3728]) ).

fof(f4739,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | neighborhood(f18(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)),f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3)
      | eq_p(f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f4299,f759]) ).

fof(f4740,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3)
      | neighborhood(f18(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X4,f7(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3),f7(X1,X2)),f7(X1,X2),f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X4)
      | eq_p(f7(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f4299,f3301]) ).

fof(f4741,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X3,X4)
      | basis(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5)
      | neighborhood(f18(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X6,f7(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)),f7(X3,X4),f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X6)
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)) ),
    inference(resolution,[status(thm)],[f4299,f4394]) ).

fof(f4742,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4)
      | neighborhood(f18(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f7(X2,X3),f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4299,f3413]) ).

fof(f4743,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,union_of_members(X1),f7(X2,X3)),X4)
      | neighborhood(f18(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)),f7(X2,X3),f10(X0,union_of_members(X1),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4299,f4339]) ).

fof(f4744,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,X1,f7(X1,X2)),X3)
      | neighborhood(f18(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)),f7(X1,X2),f10(X0,X1,f7(X1,X2)),X4)
      | eq_p(f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f4299,f3302]) ).

fof(f4745,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X2)
      | basis(X0,X1)
      | neighborhood(f18(X0,X3,f7(X0,X1),f7(X0,X2)),f7(X0,X2),X0,X3)
      | eq_p(f7(X0,X1),f7(X0,X2)) ),
    inference(resolution,[status(thm)],[f4299,f760]) ).

fof(f4751,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | basis(f10(X0,f16(X1,X2,X3,X4),X1),X5)
      | neighborhood(f18(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1),X1,f10(X0,f16(X1,X2,X3,X4),X1),X6)
      | eq_p(f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f4299,f4381]) ).

fof(f4752,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,X4,X5,X6)
      | basis(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7)
      | neighborhood(f18(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X8,f7(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7),X3),X3,f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X8)
      | eq_p(f7(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7),X3) ),
    inference(resolution,[status(thm)],[f4299,f4469]) ).

fof(f4753,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X7)
      | basis(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5)
      | neighborhood(f18(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X6,f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4),X4,f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X6)
      | eq_p(f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4) ),
    inference(resolution,[status(thm)],[f4299,f4357]) ).

fof(f4754,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,X3,X4,X5)
      | basis(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6)
      | neighborhood(f18(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X7,f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2),X2,f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X7)
      | eq_p(f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2) ),
    inference(resolution,[status(thm)],[f4299,f4389]) ).

fof(f4755,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X6)
      | basis(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4)
      | neighborhood(f18(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3),X3,f10(X0,f10(X1,union_of_members(X2),X3),X3),X5)
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3) ),
    inference(resolution,[status(thm)],[f4299,f4100]) ).

fof(f4756,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X5)
      | basis(f10(X0,union_of_members(X1),X2),X3)
      | neighborhood(f18(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2),X2,f10(X0,union_of_members(X1),X2),X4)
      | eq_p(f7(f10(X0,union_of_members(X1),X2),X3),X2) ),
    inference(resolution,[status(thm)],[f4299,f4096]) ).

fof(f4758,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | basis(f16(X0,X1,X2,X3),X4)
      | neighborhood(f18(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0),X0,f16(X0,X1,X2,X3),X5)
      | eq_p(f7(f16(X0,X1,X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f4299,f4380]) ).

fof(f4760,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X1)
      | basis(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2)
      | neighborhood(f17(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3,f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)),f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),intersection_of_sets(f8(X0,X1),f9(X0,X1)),X3)
      | eq_p(f7(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2),f7(X0,X1)) ),
    inference(resolution,[status(thm)],[f4270,f759]) ).

fof(f4761,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3)
      | neighborhood(f17(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X4,f7(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3),f7(X1,X2)),f7(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3),f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X4)
      | eq_p(f7(f10(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)),f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f4270,f3301]) ).

fof(f4762,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X3,X4)
      | basis(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5)
      | neighborhood(f17(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X6,f7(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)),f7(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5),f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X6)
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),f7(X3,X4)),f7(X3,X4)),X5),f7(X3,X4)) ),
    inference(resolution,[status(thm)],[f4270,f4394]) ).

fof(f4763,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4)
      | neighborhood(f17(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5,f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)),f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,f10(X1,X2,f7(X2,X3)),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4270,f3413]) ).

fof(f4764,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X2,X3)
      | basis(f10(X0,union_of_members(X1),f7(X2,X3)),X4)
      | neighborhood(f17(f10(X0,union_of_members(X1),f7(X2,X3)),X5,f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)),f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f10(X0,union_of_members(X1),f7(X2,X3)),X5)
      | eq_p(f7(f10(X0,union_of_members(X1),f7(X2,X3)),X4),f7(X2,X3)) ),
    inference(resolution,[status(thm)],[f4270,f4339]) ).

fof(f4765,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X1,X2)
      | basis(f10(X0,X1,f7(X1,X2)),X3)
      | neighborhood(f17(f10(X0,X1,f7(X1,X2)),X4,f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)),f7(f10(X0,X1,f7(X1,X2)),X3),f10(X0,X1,f7(X1,X2)),X4)
      | eq_p(f7(f10(X0,X1,f7(X1,X2)),X3),f7(X1,X2)) ),
    inference(resolution,[status(thm)],[f4270,f3302]) ).

fof(f4766,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(X0,X2)
      | basis(X0,X1)
      | neighborhood(f17(X0,X3,f7(X0,X1),f7(X0,X2)),f7(X0,X1),X0,X3)
      | eq_p(f7(X0,X1),f7(X0,X2)) ),
    inference(resolution,[status(thm)],[f4270,f760]) ).

fof(f4772,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X1,X2,X3,X4)
      | basis(f10(X0,f16(X1,X2,X3,X4),X1),X5)
      | neighborhood(f17(f10(X0,f16(X1,X2,X3,X4),X1),X6,f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1),f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),f10(X0,f16(X1,X2,X3,X4),X1),X6)
      | eq_p(f7(f10(X0,f16(X1,X2,X3,X4),X1),X5),X1) ),
    inference(resolution,[status(thm)],[f4270,f4381]) ).

fof(f4773,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,X4,X5,X6)
      | basis(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7)
      | neighborhood(f17(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X8,f7(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7),X3),f7(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7),f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X8)
      | eq_p(f7(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X7),X3) ),
    inference(resolution,[status(thm)],[f4270,f4469]) ).

fof(f4774,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X4,a,cx,X7)
      | basis(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5)
      | neighborhood(f17(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X6,f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4),f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X6)
      | eq_p(f7(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X5),X4) ),
    inference(resolution,[status(thm)],[f4270,f4357]) ).

fof(f4775,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,X3,X4,X5)
      | basis(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6)
      | neighborhood(f17(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X7,f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2),f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X7)
      | eq_p(f7(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X6),X2) ),
    inference(resolution,[status(thm)],[f4270,f4389]) ).

fof(f4776,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X3,a,cx,X6)
      | basis(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4)
      | neighborhood(f17(f10(X0,f10(X1,union_of_members(X2),X3),X3),X5,f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3),f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),f10(X0,f10(X1,union_of_members(X2),X3),X3),X5)
      | eq_p(f7(f10(X0,f10(X1,union_of_members(X2),X3),X3),X4),X3) ),
    inference(resolution,[status(thm)],[f4270,f4100]) ).

fof(f4777,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X2,a,cx,X5)
      | basis(f10(X0,union_of_members(X1),X2),X3)
      | neighborhood(f17(f10(X0,union_of_members(X1),X2),X4,f7(f10(X0,union_of_members(X1),X2),X3),X2),f7(f10(X0,union_of_members(X1),X2),X3),f10(X0,union_of_members(X1),X2),X4)
      | eq_p(f7(f10(X0,union_of_members(X1),X2),X3),X2) ),
    inference(resolution,[status(thm)],[f4270,f4096]) ).

fof(f4779,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | basis(f16(X0,X1,X2,X3),X4)
      | neighborhood(f17(f16(X0,X1,X2,X3),X5,f7(f16(X0,X1,X2,X3),X4),X0),f7(f16(X0,X1,X2,X3),X4),f16(X0,X1,X2,X3),X5)
      | eq_p(f7(f16(X0,X1,X2,X3),X4),X0) ),
    inference(resolution,[status(thm)],[f4270,f4380]) ).

fof(f4787,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7)
      | neighborhood(f17(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X8,f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0),f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X8)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4522,f4270]) ).

fof(f4788,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7)
      | neighborhood(f18(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X8,f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0),X0,f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X8)
      | eq_p(f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4522,f4299]) ).

fof(f4789,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | basis(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7)
      | disjoint_s(f17(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X8,f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0),f18(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X8,f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0))
      | eq_p(f7(f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X7),X0)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4522,f4241]) ).

fof(f4790,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8,X0,X2),X2,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4522,f3729]) ).

fof(f4791,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8,X0,X2),X0,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4522,f3730]) ).

fof(f4792,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8,X0,X2),f18(f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f4522,f3728]) ).

fof(f4811,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3333,f4095]) ).

fof(f4812,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | element_of_set(f7(interior(X0,X1,X2),X3),interior(a,cx,X4)) ),
    inference(resolution,[status(thm)],[f4811,f984]) ).

fof(f4813,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f759]) ).

fof(f4814,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f3301]) ).

fof(f4815,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f3501]) ).

fof(f4816,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f4394]) ).

fof(f4817,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f3413]) ).

fof(f4818,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f4339]) ).

fof(f4819,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f3302]) ).

fof(f4820,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),interior(a,cx,X2)) ),
    inference(resolution,[status(thm)],[f4811,f760]) ).

fof(f4826,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4381]) ).

fof(f4827,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4522]) ).

fof(f4828,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4469]) ).

fof(f4829,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4357]) ).

fof(f4830,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4389]) ).

fof(f4831,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4100]) ).

fof(f4832,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X2)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4096]) ).

fof(f4834,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,interior(a,cx,X1)) ),
    inference(resolution,[status(thm)],[f4811,f4380]) ).

fof(f4835,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(intersection_of_members(X0),X1)
      | element_of_set(f7(intersection_of_members(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f752,f760]) ).

fof(f4850,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X1,X2,X3,X4)
      | neighborhood(f10(X0,f16(X1,X2,X3,X4),X1),X1,X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f4381]) ).

fof(f4851,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X5,a,cx,X8)
      | neighborhood(f10(X0,f10(X1,f10(X2,f10(X3,union_of_members(X4),X5),X5),X5),X5),X5,X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f4522]) ).

fof(f4852,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X3,X4,X5,X6)
      | neighborhood(f10(X0,f10(X1,f10(X2,f16(X3,X4,X5,X6),X3),X3),X3),X3,X7,X8) ),
    inference(resolution,[status(thm)],[f1418,f4469]) ).

fof(f4853,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X4,a,cx,X7)
      | neighborhood(f10(X0,f10(X1,f10(X2,union_of_members(X3),X4),X4),X4),X4,X5,X6) ),
    inference(resolution,[status(thm)],[f1418,f4357]) ).

fof(f4854,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X2,X3,X4,X5)
      | neighborhood(f10(X0,f10(X1,f16(X2,X3,X4,X5),X2),X2),X2,X6,X7) ),
    inference(resolution,[status(thm)],[f1418,f4389]) ).

fof(f4858,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | limit_point(X0,X1,X2,X3)
      | neighborhood(f16(X0,X1,X2,X3),X0,X4,X5) ),
    inference(resolution,[status(thm)],[f1418,f4380]) ).

fof(f4871,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f759,f4345]) ).

fof(f4894,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(X1,X3,X0,X4,X2))
      | ~ element_of_set(X0,intersection_of_sets(X4,X2))
      | ~ element_of_collection(X2,X3)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f4587,f4871]) ).

fof(f4895,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(X1,X4,X0,X2,X3))
      | ~ element_of_set(X0,intersection_of_sets(X2,X3))
      | ~ element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4894,f747]) ).

fof(f4896,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ open(X4,X2,X3)
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1548,f4095]) ).

fof(f4904,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X9)
      | ~ open(f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X2,X3)
      | ~ subset_sets(f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X1)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f4896,f4522]) ).

fof(f4905,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,X7,X8,X9)
      | ~ open(f10(X4,f10(X5,f10(X6,f16(X0,X7,X8,X9),X0),X0),X0),X2,X3)
      | ~ subset_sets(f10(X4,f10(X5,f10(X6,f16(X0,X7,X8,X9),X0),X0),X0),X1)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f4896,f4469]) ).

fof(f4906,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X8)
      | ~ open(f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X2,X3)
      | ~ subset_sets(f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X1)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f4896,f4357]) ).

fof(f4911,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,X4,X5,X6)
      | ~ open(f16(X0,X4,X5,X6),X2,X3)
      | ~ subset_sets(f16(X0,X4,X5,X6),X1)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f4896,f4380]) ).

fof(f4919,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X9)
      | ~ open(f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4904,f4095]) ).

fof(f4920,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,X7,X8,X9)
      | ~ open(f10(X4,f10(X5,f10(X6,f16(X0,X7,X8,X9),X0),X0),X0),X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4905,f4095]) ).

fof(f4921,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X8)
      | ~ open(f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4906,f4095]) ).

fof(f4926,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,X4,X5,X6)
      | ~ open(f16(X0,X4,X5,X6),X2,X3)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4911,f4095]) ).

fof(f4927,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(X1,X3,X0,X4,X2))
      | ~ element_of_set(X0,intersection_of_sets(X4,X2))
      | ~ element_of_collection(X2,X3)
      | ~ element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f989,f4871]) ).

fof(f4934,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X2,X5,X6,X7)
      | element_of_set(X2,f6(f10(X4,f16(X2,X5,X6,X7),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4381]) ).

fof(f4935,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X9)
      | element_of_set(X2,f6(f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X2),X2),X2),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4522]) ).

fof(f4936,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X2,X7,X8,X9)
      | element_of_set(X2,f6(f10(X4,f10(X5,f10(X6,f16(X2,X7,X8,X9),X2),X2),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4469]) ).

fof(f4937,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X8)
      | element_of_set(X2,f6(f10(X4,f10(X5,f10(X6,union_of_members(X7),X2),X2),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4357]) ).

fof(f4938,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X2,X6,X7,X8)
      | element_of_set(X2,f6(f10(X4,f10(X5,f16(X2,X6,X7,X8),X2),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4389]) ).

fof(f4939,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X7)
      | element_of_set(X2,f6(f10(X4,f10(X5,union_of_members(X6),X2),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4100]) ).

fof(f4940,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X2,a,cx,X6)
      | element_of_set(X2,f6(f10(X4,union_of_members(X5),X2),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4096]) ).

fof(f4942,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X2,X4,X5,X6)
      | element_of_set(X2,f6(f16(X2,X4,X5,X6),X1,X2,X3,X0))
      | ~ element_of_set(X2,intersection_of_sets(X3,X0))
      | ~ element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f4927,f4380]) ).

fof(f4949,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,f6(f10(X3,f16(X0,X4,X5,X6),X0),X7,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4934,f747]) ).

fof(f4950,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X9)
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X8,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4935,f747]) ).

fof(f4951,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | limit_point(X0,X6,X7,X8)
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,f16(X0,X6,X7,X8),X0),X0),X0),X9,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4936,f747]) ).

fof(f4952,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X8)
      | element_of_set(X0,f6(f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X7,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4937,f747]) ).

fof(f4953,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | limit_point(X0,X5,X6,X7)
      | element_of_set(X0,f6(f10(X3,f10(X4,f16(X0,X5,X6,X7),X0),X0),X8,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4938,f747]) ).

fof(f4954,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X7)
      | element_of_set(X0,f6(f10(X3,f10(X4,union_of_members(X5),X0),X0),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4939,f747]) ).

fof(f4955,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X6)
      | element_of_set(X0,f6(f10(X3,union_of_members(X4),X0),X5,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4940,f747]) ).

fof(f4957,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,X3,X4,X5)
      | element_of_set(X0,f6(f16(X0,X3,X4,X5),X6,X0,X1,X2))
      | ~ element_of_set(X0,intersection_of_sets(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4942,f747]) ).

fof(f4985,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | limit_point(X0,X4,X5,X6)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4926,f967]) ).

fof(f4986,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(interior(X7,X8,X9),X5,X0,X6,X4))
      | ~ element_of_set(X0,intersection_of_sets(X6,X4))
      | ~ element_of_collection(X4,X5)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4985,f4927]) ).

fof(f4988,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | neighborhood(interior(X4,X5,X6),X0,X7,X8)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4985,f1418]) ).

fof(f4989,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(interior(X5,X6,X7),X8,X0,X4),X4,interior(X5,X6,X7),X8)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,interior(X5,X6,X7))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4985,f3729]) ).

fof(f4990,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(interior(X5,X6,X7),X8,X0,X4),X0,interior(X5,X6,X7),X8)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,interior(X5,X6,X7))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4985,f3730]) ).

fof(f4991,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(interior(X5,X6,X7),X8,X0,X4),f18(interior(X5,X6,X7),X8,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,interior(X5,X6,X7))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4985,f3728]) ).

fof(f4992,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(interior(X6,X7,X8),X9,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4986,f747]) ).

fof(f5085,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,a,cx,X7)
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f10(X5,union_of_members(X6),X0),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f4522]) ).

fof(f5086,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | limit_point(X0,X5,X6,X7)
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f10(X4,f16(X0,X5,X6,X7),X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1103,f4469]) ).

fof(f5324,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5086,f1103]) ).

fof(f5325,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(f10(X7,f10(X8,f10(X9,f10(X10,f16(X0,X1,X2,X3),X0),X0),X0),X0),X5,X0,X6,X4))
      | ~ element_of_set(X0,intersection_of_sets(X6,X4))
      | ~ element_of_collection(X4,X5)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5086,f4927]) ).

fof(f5326,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | neighborhood(f10(X4,f10(X5,f10(X6,f10(X7,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0,X8,X9)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5086,f1418]) ).

fof(f5327,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X9,X0,X4),X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X9)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5086,f3729]) ).

fof(f5328,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X9,X0,X4),X0,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X9)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5086,f3730]) ).

fof(f5329,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X9,X0,X4),f18(f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X9,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5086,f3728]) ).

fof(f5330,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X10,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5325,f747]) ).

fof(f5430,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3334,f761]) ).

fof(f5433,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3066,f4095]) ).

fof(f5436,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | compact_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3070,f4095]) ).

fof(f5457,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X0,X4)
      | ~ closed(X4,X2,X3)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f189,f4095]) ).

fof(f5458,plain,
    ! [X0,X1,X2] :
      ( ~ sQ80_spl
      | ~ sQ7_spl
      | element_of_set(X2,X0)
      | ~ closed(X0,cx,X1) ),
    inference(resolution,[status(thm)],[f5457,f4112]) ).

fof(f5459,plain,
    ! [X0,X1] :
      ( ~ sQ80_spl
      | ~ sQ7_spl
      | element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5458,f970]) ).

fof(f5460,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f5085,f1103]) ).

fof(f5461,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,union_of_members(X10),X0),X0),X0),X0),X0),X3,X0,X4,X2))
      | ~ element_of_set(X0,intersection_of_sets(X4,X2))
      | ~ element_of_collection(X2,X3)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f5085,f4927]) ).

fof(f5462,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | neighborhood(f10(X2,f10(X3,f10(X4,f10(X5,f10(X6,union_of_members(X7),X0),X0),X0),X0),X0),X0,X8,X9)
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f5085,f1418]) ).

fof(f5463,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9,X0,X2),X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f5085,f3729]) ).

fof(f5464,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9,X0,X2),X0,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9)
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f5085,f3730]) ).

fof(f5465,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9,X0,X2),f18(f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0),X9,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X2,f10(X3,f10(X4,f10(X5,f10(X6,f10(X7,union_of_members(X8),X0),X0),X0),X0),X0))
      | limit_point(X0,a,cx,X1) ),
    inference(resolution,[status(thm)],[f5085,f3728]) ).

fof(f5466,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,union_of_members(X9),X0),X0),X0),X0),X0),X10,X0,X2,X3))
      | ~ element_of_set(X0,intersection_of_sets(X2,X3))
      | limit_point(X0,a,cx,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5461,f747]) ).

fof(f5539,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5324,f1103]) ).

fof(f5540,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(f10(X7,f10(X8,f10(X9,f10(X10,f10(X11,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X5,X0,X6,X4))
      | ~ element_of_set(X0,intersection_of_sets(X6,X4))
      | ~ element_of_collection(X4,X5)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5324,f4927]) ).

fof(f5541,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_spl
      | neighborhood(f10(X4,f10(X5,f10(X6,f10(X7,f10(X8,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X0,X9,X10)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5324,f1418]) ).

fof(f5542,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f18(f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X10,X0,X4),X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X10)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5324,f3729]) ).

fof(f5543,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | neighborhood(f17(f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X10,X0,X4),X0,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X10)
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5324,f3730]) ).

fof(f5544,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ70_spl
      | ~ sQ7_spl
      | disjoint_s(f17(f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X10,X0,X4),f18(f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X10,X0,X4))
      | eq_p(X0,X4)
      | ~ element_of_set(X4,f10(X5,f10(X6,f10(X7,f10(X8,f10(X9,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0))
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5324,f3728]) ).

fof(f5545,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_spl
      | element_of_set(X0,f6(f10(X6,f10(X7,f10(X8,f10(X9,f10(X10,f16(X0,X1,X2,X3),X0),X0),X0),X0),X0),X11,X0,X4,X5))
      | ~ element_of_set(X0,intersection_of_sets(X4,X5))
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5540,f747]) ).

fof(f5605,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | neighborhood(f18(f16(X0,X1,X2,X3),X4,X0,X0),X0,f16(X0,X1,X2,X3),X4)
      | eq_p(X0,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4382,f4380]) ).

fof(f5606,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | neighborhood(f18(f16(X0,X1,X2,X3),X4,X0,X0),X0,f16(X0,X1,X2,X3),X4)
      | eq_p(X0,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f5605]) ).

fof(f5607,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | neighborhood(f17(f16(X0,X1,X2,X3),X4,X0,X0),X0,f16(X0,X1,X2,X3),X4)
      | eq_p(X0,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4383,f4380]) ).

fof(f5608,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | neighborhood(f17(f16(X0,X1,X2,X3),X4,X0,X0),X0,f16(X0,X1,X2,X3),X4)
      | eq_p(X0,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f5607]) ).

fof(f5609,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | limit_point(X0,X1,X2,X3)
      | disjoint_s(f17(f16(X0,X1,X2,X3),X4,X0,X0),f18(f16(X0,X1,X2,X3),X4,X0,X0))
      | eq_p(X0,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f4384,f4380]) ).

fof(f5610,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | disjoint_s(f17(f16(X0,X1,X2,X3),X4,X0,X0),f18(f16(X0,X1,X2,X3),X4,X0,X0))
      | eq_p(X0,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(duplicate_literals_removal,[status(thm)],[f5609]) ).

fof(f5613,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | ~ sQ7_spl
      | disjoint_s(f17(X1,X3,X0,X2),f18(X1,X3,X0,X2))
      | eq_p(X0,X2)
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3728,f5459]) ).

fof(f5623,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ80_spl
      | eq_p(X4,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f4399,f5459]) ).

fof(f5624,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ80_spl
      | neighborhood(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1418,f5459]) ).

fof(f5627,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ80_spl
      | ~ sQ7_spl
      | disjoint_s(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5613,f5459]) ).

fof(f5628,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ80_spl
      | ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f206,f5624]) ).

fof(f5629,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ80_spl
      | ~ limit_point(X0,X4,X5,X6)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f5623,f5628]) ).

fof(f5630,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | ~ sQ80_spl
      | equal_sets(f18(X2,X3,X0,X1),empty_set)
      | equal_sets(f17(X2,X3,X0,X1),empty_set)
      | separation(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1),intersection_of_sets(X4,f12(X5,X6,X4,union_of_sets(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1)))),X7)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f5627,f1146]) ).

fof(f5640,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | ~ sQ70_spl
      | ~ sQ80_spl
      | ~ connected_space(intersection_of_sets(X4,f12(X5,X6,X4,union_of_sets(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1)))),X7)
      | equal_sets(f18(X2,X3,X0,X1),empty_set)
      | equal_sets(f17(X2,X3,X0,X1),empty_set)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f5630,f242]) ).

fof(model,axiom,
    ( sQ0_spl
    | ~ sQ3_spl
    | sQ4_spl
    | sQ5_spl
    | sQ7_spl
    | sQ8_spl
    | sQ9_spl
    | sQ10_spl
    | sQ25_spl
    | sQ26_spl
    | sQ28_spl
    | ~ sQ42_spl
    | sQ44_spl
    | sQ45_spl
    | ~ sQ46_spl
    | sQ50_spl
    | sQ57_spl
    | sQ63_spl
    | sQ64_spl
    | ~ sQ65_spl
    | sQ66_spl
    | ~ sQ68_spl
    | sQ70_spl
    | sQ79_spl
    | sQ80_spl
    | sQ82_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : TOP019-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/1.04  % Computer : n016.cluster.edu
% 0.17/1.04  % Model    : x86_64 x86_64
% 0.17/1.04  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/1.04  % Memory   : 8046.5625MB
% 0.17/1.04  % OS       : Linux 6.8.0-71-generic
% 0.17/1.04  % CPULimit : 300
% 0.17/1.04  % WCLimit  : 300
% 0.17/1.04  % DateTime : Mon Sep 21 12:43:26 UTC 2026
% 0.17/1.05  % CPUTime  : 
% 0.20/1.07  % Drodi V4.1.1
% 20.67/3.81  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 20.67/3.81  % SZS output start Saturation for theBenchmark
% See solution above
% 1.50/3.90  % Elapsed time: 2.828854 seconds
% 1.50/3.90  % CPU time: 21.597051 seconds
% 1.50/3.90  % Total memory used: 152.041 MB
% 1.50/3.90  % Net memory used: 135.548 MB
%------------------------------------------------------------------------------